
@book{ABRA,
    editor  = {M. Abramowitz and I. A. Stegun},
    title   = {Handbook of Mathematical Functions},
    year    = {1970},
    publisher = {Dover Publications Inc.},
    edition = {ninth}
}


@book{STARK,
    editor  = {H. Stark},
    title   = {Image Recovery: Theory and Application},
    year    = {1987},
    publisher = {Academic Press},
    address = {Orlando, Florida}
}


@book{WMA,
    editor  = {John J. Benedetto and Michael W. Frazier},
    title   = {Wavelets: {M}athematics and {A}pplications},
    year    = {1994},
    publisher = {CRC Press},
    address = {Boca Raton, Florida}
}


@article{ALPERT93,
    author  = {B. Alpert},
    title   = {A class of bases in $L^2$ for the sparse representation of integral operators},
    journal = {SIAM J. Math. Anal.},
    pages   = {246--262},
    year    = {1993},
    volume  = {24},
    number  = {1}
}


@article{ABCR,
    author  = {B. Alpert and G. Beylkin and R. R. Coifman and V. Rokhlin},
    title   = {Wavelet-like bases for the fast solution of second-kind integral equations},
    journal = {SIAM J. Sci. Stat. Comput.},
    pages   = {159--174},
    year    = {1993},
    volume  = {14},
    number  = {1},
    note    = {Technical report, Department of Computer Science, Yale University, New Haven, CT, 1990.}
}


@unpublished{ABGV,
    author  = {B. Alpert and G. Beylkin and D. L. Gines and L. Vozovoi},
    title   = {Toward adaptive solution of partial differential equations in multiwavelet bases},
    year    = {1998},
    note    = {in progress}
}


@article{ALP-FRAN-WITT,
    author  = {B. K. Alpert and M. H. Francis and R. C. Wittmann},
    title   = {Planar Near-Field Antenna Measurements Using Nonideal Measurement Locations},
    journal = {Preprint},
    year    = {1997}
}


@article{ALPERT-RO,
    author  = {B. Alpert and V. Rokhlin},
    title   = {A {F}ast {A}lgorithm for the {E}valuation of {L}egendre Expansions},
    journal = {SIAM J. Sci. Stat. Comput.},
    pages   = {158--179},
    year    = {1991},
    volume  = {12},
    number  = {1},
    note    = {Yale University Technical Report, YALEU/DCS/RR-671 (1989)}
}


@article{ASCH-RUUT-WETT,
    author  = {U. M. Ascher and S. J. Ruuth and B. T. R. Wetton},
    title   = {Implicit-explicit methods for the time dependent partial differential equations},
    journal = {SIAM J. Numer. Anal.},
    pages   = {797--823},
    year    = {1995},
    volume  = {32},
    number  = {3}
}


@article{AUSCHER,
    author  = {P. Auscher},
    title   = {Il n'existe pas de base d'ondelettes r\'eguli\`eres dans l'espace de {H}ardy ${H}^2(\mbox{\bf {R}})$},
    journal = {C.R. Acad. Sci. Paris},
    pages   = {769--772},
    year    = {1992},
    volume  = {315},
    number  = {1}
}


@article{BA-WI-BA-DU,
    author  = {J. Babaud and A. P. Witkin and M. Baudin and R. O. Duda},
    title   = {Uniqueness of the {Gaussian} kernel for scale-space filtering},
    journal = {IEEE Trans. Pattern Anal. Machine Intell.},
    pages   = {26--33},
    year    = {1986},
    month   = {Jan.},
    volume  = {8},
    number  = {1}
}


@article{BATTLE87,
    author  = {G. Battle},
    title   = {A Block spin construction of ondelettes. {P}art I: Lemari\'e functions},
    journal = {Comm. Math. Phys.},
    pages   = {601--615},
    year    = {1987},
    volume  = {110}
}


@article{BEALS77,
    author  = {R. Beals},
    title   = {Characterization of Pseudodifferential Operators and Applications},
    journal = {Duke Math. J.},
    pages   = {45--57},
    year    = {1977},
    month   = {March},
    volume  = {44},
    number  = {1}
}


@article{BENISR-CO,
    author  = {A. Ben-Israel and D. Cohen},
    title   = {On iterative computation of generalized inverses and associate projections},
    journal = {SIAM J. Numer. Anal.},
    pages   = {410--419},
    year    = {1966},
    volume  = {3},
    number  = {3}
}


@book{PAPANI,
    author  = {A. Bensoussan and J. L. Lions and G. Papanicolaou},
    title   = {Asymptotic {A}nalysis for {P}eriodic {S}tructures},
    year    = {1978},
    publisher = {North-Holland},
    address = {Amsterdam}
}


@article{BERK84,
    author  = {A. J. Berkhout},
    title   = {Multidimensional linearized inversion and seismic migration},
    journal = {Geophysics},
    pages   = {1881--1895},
    year    = {1984},
    volume  = {49}
}


@article{BEY-LEV,
    author  = {R. P. Beyer and R. J. LeVeque},
    title   = {Analysis of a one-dimensional model for the immersed boundary method},
    journal = {SIAM J. Numer. Anal.},
    pages   = {332--364},
    year    = {1992},
    volume  = {29}
}


@article{BEY-USFFT,
    author  = {G. Beylkin},
    title   = {On the {F}ast {F}ourier {T}ransform of {F}unctions {S}ingularities},
    journal = {Appl. and Comp. Harmonic Analysis},
    pages   = {363--381},
    year    = {1995},
    volume  = {2},
    note    = {PAM Report 195, 1994}
}


@article{BEYIIR2FIR,
    author  = {G. Beylkin},
    title   = {On factored {FIR} approximation of {IIR} filters},
    journal = {Preprint},
    year    = {1993}
}


@unpublished{BEY-BREW,
    author  = {G. Beylkin and M. E. Brewster},
    title   = {Fast {N}umerical {A}lgorithms using {W}avelet {B}ases on the {I}nterval},
    year    = {1998},
    note    = {in progress}
}


@article{BEY-BURR,
    author  = {G. Beylkin and R. Burridge},
    title   = {Linearized inverse scattering problems in acoustics and elasticity},
    journal = {Wave Motion},
    pages   = {15--52},
    year    = {1990},
    volume  = {12}
}


@inproceedings{BCRREV,
    author  = {G. Beylkin and R. R. Coifman and V. Rokhlin},
    title   = {Wavelets in {N}umerical {A}nalysis},
    booktitle = {Wavelets and {T}heir {A}pplications},
    pages   = {181--210},
    year    = {1992},
    publisher = {Jones and Bartlett},
    opteditor = {M. B. Ruskai et. al.}
}


@article{BEY-COULT,
    author  = {G. Beylkin and N. Coult},
    title   = {A Multiresolution Strategy for Homogenization of Elliptic {PDE}'s and Associated Eigenvalue Problems},
    journal = {PAM Report 270},
    year    = {1996},
    month   = {March}
}


@unpublished{BEY-CRA,
    author  = {G. Beylkin and R. L. Cramer},
    title   = {A Multiresolution Approach to Fast Summation and Application of Singular Operators in Higher Dimensions},
    year    = {1998},
    note    = {in progress}
}


@inproceedings{BEY-GORMAN,
    author  = {G. Beylkin and J. D. Gorman and S. Li-Fliss and M. A. Ricoy},
    editor  = {Dominick A. Giglio},
    title   = {{SAR} imaging and multiresolution analysis},
    booktitle = {Proc. SPIE: Algorithms for Synthetic Aperture Radar Imagery II},
    pages   = {2144--152},
    year    = {1995},
    publisher = {SPIE},
    volume  = {2487}
}


@article{BEY-KEI,
    author  = {G. Beylkin and J. M. Keiser},
    title   = {On the Adaptive Numerical Solution of Nonlinear Partial Differential Equations in Wavelet Bases},
    journal = {J. Comp. Physics},
    pages   = {233--259},
    year    = {1997},
    volume  = {132},
    note    = {PAM Report 262, 1995}
}


@unpublished{BEY-KEI-VOZ,
    author  = {G. Beylkin and J. M. Keiser and L. Vozovoi},
    title   = {A New Class of Stable Time Discretization Schemes for the Solution of Nonlinear {PDE}s},
    year    = {1996},
    note    = {in preparation}
}


@inproceedings{BOM85,
    author  = {G. Beylkin and M. L. Oristaglio and D. Miller},
    editor  = {Berkhout, A. J. and Ridder, J. and van der Waal L. F.},
    title   = {Spatial resolution of migration algorithms},
    booktitle = {Acoustical Imaging},
    pages   = {155--167},
    year    = {1985},
    publisher = {Plenum Pub. Co.},
    volume  = {14}
}


@article{BE-TO,
    author  = {G. Beylkin and B. Torr\'esani},
    title   = {Implementation of operators via filter banks; {A}utocorrelation {S}hell and {H}ardy wavelets},
    journal = {Appl. and Comp. Harmonic Analysis},
    pages   = {164--185},
    year    = {1996},
    volume  = {3},
    note    = {PAM Report 185}
}


@article{BLEI89,
    author  = {N. Bleistein},
    title   = {Large wave number aperture-limited {F}ourier inversion and inverse scattering},
    journal = {Wave Motion},
    pages   = {113--136},
    year    = {1989},
    volume  = {11},
    number  = {2}
}


@techreport{BONY3,
    author  = {J. M. Bony},
    title   = {Interaction des singularit\'{e}s pour les \'{e}quations aux d\'{e}riv\'{e}es partielles non-lin\'{e}aires},
    institution = {Centre de Math\'{e}matique, Ecole Polytechnique, 91128-Palaisau, France},
    year    = {1984},
    type    = {S\'{e}m. E.D.P., 1979/80, 22, 1981/82, 2 et 1983/84, 10}
}


@book{BOR-ERD:95,
    author  = {P. Borwein and T. Erd\'elyi},
    title   = {Polynomials and Polynomial Inequalities},
    year    = {1995},
    publisher = {Springer-Verlag},
    address = {NY},
    volume  = {161},
    series  = {Graduate Texts in Mathematics}
}


@article{BRAM-PAC-XU,
    author  = {J. H. Bramble and J. E. Pasciak and J. Xu},
    title   = {Parallel multilevel preconditioners},
    journal = {Math. of Comp.},
    pages   = {1--22},
    year    = {1990},
    volume  = {55},
    number  = {191}
}


@article{BRANDT91,
    author  = {A. Brandt},
    title   = {Multilevel computations of integral transforms and particle interactions with oscillatory kernels},
    journal = {Computer Physics Communications},
    pages   = {24--38},
    year    = {1991},
    volume  = {65}
}


@article{BREW-BEY,
    author  = {M. E. Brewster and G. Beylkin},
    title   = {A {M}ultiresolution {S}trategy for {N}umerical {H}omogenization},
    journal = {Appl. and Comp. Harmonic Analysis},
    pages   = {327--349},
    year    = {1995},
    volume  = {2},
    note    = {PAM Report 187, 1994}
}


@book{BRIGGS,
    author  = {W. L. Briggs},
    title   = {A Multigrid Tutorial},
    year    = {1987},
    publisher = {SIAM},
    address = {Philadelphia, Pennsylvania}
}


@book{BRILL,
    author  = {L. Brillouin},
    title   = {Wave propagation in periodic structures},
    year    = {1953},
    publisher = {Dover},
    address = {New York}
}


@article{BURR,
    author  = {R. Burridge},
    title   = {Some {N}otes on the {E}ffective {M}edium},
    journal = {Schlumberger-Doll Research Notes},
    year    = {1990}
}


@article{BEY-BURR88,
    author  = {R. Burridge and G. Beylkin},
    title   = {On Double integrals over spheres},
    journal = {Inverse Problems},
    pages   = {1--10},
    year    = {1988},
    volume  = {4}
}


@article{BURR88,
    author  = {R. Burridge and G. S. Papanicolaou and B. S. White},
    title   = {One-dimensional wave propagation in a highly discontinuous medium},
    journal = {Wave Motion},
    pages   = {19--44},
    year    = {1988},
    volume  = {10},
    number  = {1}
}


@techreport{BU:96,
    key     = {wlet},
    author  = {C. S. Burrus and J. E. Odegard},
    title   = {Wavelet Systems and Zero Moments},
    institution = {Dept. of ECE, Rice University, Houston, TX, USA},
    year    = {1996},
    month   = {November},
    note    = {Submitted to IEEE Trans. on SP}
}


@inproceedings{BURT3,
    author  = {P. J. Burt},
    editor  = {A. Rosenfeld},
    title   = {The pyramid as a structure for efficient computation},
    booktitle = {Multiresolutin Image Processing and Analysis},
    pages   = {6--35},
    year    = {1984},
    publisher = {Springer--Verlag}
}


@article{BURT-ADEL,
    author  = {P. J. Burt and E. H. Adelson},
    title   = {The {Laplacian} pyramid as a compact image code},
    journal = {IEEE Trans. Communications},
    pages   = {532--540},
    year    = {1983},
    month   = {Apr.},
    volume  = {31},
    number  = {4}
}


@article{CPR2,
    author  = {C. Cafforio and C. Prati and F. Rocca},
    title   = {{SAR} {D}ata {F}ocusing using {S}eismic {M}igration {T}echniques},
    journal = {IEEE {T}ransactions on {A}erospace and {E}lectronic {S}ystems},
    pages   = {194--207},
    year    = {1991},
    volume  = {27},
    number  = {2}
}


@article{MCCORM97,
    author  = {Z. Cai and J. Mandel and S. F. McCormick},
    title   = {Multigrid Methods for Nearly Singular Linear Equations and Eigenvalues Problems},
    journal = {SIAM J. Numer. Anal.},
    year    = {1997},
    month   = {February},
    volume  = {34},
    number  = {1}
}


@article{CALDER-ZYG,
    author  = {A. P. Calderon and A. Zygmund},
    title   = {Singular {I}ntegral {O}perators and {D}ifferential Equations},
    journal = {Amer. J. Math. Soc.},
    pages   = {901--921},
    year    = {1957},
    volume  = {84}
}


@techreport{CHT,
    author  = {R. Carmona and W. L. Hwang and B. Torr\'esani},
    title   = {Characterization of signals by the ridges of their wavelet transform},
    institution = {CPT, CNRS-Luminy, Case 907, 13288 Marseille Cedex 09, France},
    year    = {1995},
    number  = {CPT-95/P.3165},
    optnote = {Submitted to IEEE Trans Signal Processing}
}


@article{CA-GR-RO,
    author  = {J. Carrier and L. Greengard and V. Rokhlin},
    title   = {A Fast Adaptive Multipole Algorithm for Particle Simulations},
    journal = {SIAM J. Sci. Stat. Comput.},
    year    = {1988},
    volume  = {9},
    number  = {4},
    note    = {Yale University Technical Report, YALEU/DCS/RR-496 (1986)}
}


@incollection{CAUCHY,
    author  = {A. L. Cauchy},
    title   = {Sur l'\'equation \`a l'aide de laquelle on d\'etermine les in\'egalit\'es s\'eculares},
    booktitle = {Oeuvres Compl\`etes d'{A}ugustin {C}auchy},
    year    = {1974},
    publisher = {Gauthier-Villars},
    address = {\'Editeur, Paris},
    volume  = {IX},
    series  = {II}
}


@article{CCB87,
    author  = {W. Chang and Ph. Carrion and G. Beylkin},
    title   = {Wave front sets of solutions to linearized inverse scattering problems},
    journal = {Inverse Problems},
    pages   = {683--690},
    year    = {1987},
    volume  = {3}
}


@book{CHUIBOOK,
    author  = {C. Chui},
    title   = {An {I}ntroduction to {W}avelets},
    year    = {1992},
    publisher = {Academic Press}
}


@article{CHUI-WARD-S,
    author  = {C. K. Chui and J. D. Ward and P. W. Smith},
    title   = {Cholesky {F}actorization of {P}ositive {D}efinite {B}i-infinite {M}atrices},
    journal = {Numer. Funct. Anal. and Optimiz},
    pages   = {1--20},
    year    = {1982},
    volume  = {5}
}


@article{CLAER71,
    author  = {J. F. Claerbout},
    title   = {Toward a unified theory of reflector mapping},
    journal = {Geophysics},
    pages   = {467--481},
    year    = {1971},
    volume  = {36}
}


@article{CLADOH72,
    author  = {J. F. Claerbout and S. M. Doherty},
    title   = {Downward continuation of moveout corrected seismograms},
    journal = {Geophysics},
    pages   = {741--768},
    year    = {1972},
    volume  = {37}
}


@article{CLAY-STO,
    author  = {R. W. Clayton and R. H. Stolt},
    title   = {A Born-WKBJ inversion method for acoustic reflection data},
    journal = {Geophysics},
    pages   = {1559--1567},
    year    = {1981},
    volume  = {46}
}


@article{COCKBURN-SHU,
    author  = {B. Cockburn and C. Shu},
    title   = {The Local Discontinuous {G}alerkin Method for Time-Dependent Convection-Diffusion Systems},
    journal = {ICASE Report No.97-32},
    year    = {1997},
    month   = {July},
    address = {Mail Stop 403, NASA Langley Reseach Center, Hampton VA 23681-0001}
}


@article{COHEN90B,
    author  = {A. Cohen},
    title   = {Wavelets, quadrature mirror filters and digital picture processing},
    journal = {Proceedings of Conference on Signal Processing, held at West Point},
    year    = {1990}
}


@article{COHEN-DALES,
    author  = {A. Cohen and J-P. D'Ales},
    title   = {Nonlinear approximation of random functions},
    journal = {SIAM J. Appl. Math.},
    pages   = {518--540},
    year    = {1997},
    volume  = {57},
    number  = {2}
}


@article{CO-DAUB-FEAU,
    author  = {A. Cohen and I. Daubechies and J.-C. Feauveau},
    title   = {Biorthogonal bases of compactly supported wavelets},
    journal = {Comm. Pure Appl. Math.},
    pages   = {485--560},
    year    = {1992},
    month   = {Jun.},
    volume  = {45},
    number  = {5}
}


@article{CO-DA-JA-VI,
    author  = {A. Cohen and I. Daubechies and B. Jawerth and P. Vial},
    title   = {Multiresolution analysis, wavelets and fast algorithms on an interval},
    journal = {Comptes Rendus Acad. Sc. Paris},
    year    = {1992}
}


@article{COHEN-DAUB-VI,
    author  = {A. Cohen and I. Daubechies and P. Vial},
    title   = {Wavelets on the interval and fast wavelet transforms},
    journal = {Appl. and Comp. Harmonic Analysis},
    pages   = {54--81},
    year    = {1993},
    volume  = {1},
    number  = {1}
}


@article{COHEN93,
    author  = {A. Cohen and Q. Sun},
    title   = {An arithmetic characterization of the conjugate quadrature filters associated to orthonormal wavelet bases},
    journal = {SIAM J. Math. Anal.},
    year    = {1993}
}


@article{JKCNB79,
    author  = {J. K. Cohen and N. Bleistein},
    title   = {Velocity inversion procedure for acoustic waves},
    journal = {Geophysics},
    pages   = {1077--1085},
    year    = {1979},
    volume  = {44}
}


@article{CO-LI-ME-SE,
    author  = {R. Coifman and P. L. Lions and Y. Meyer and S. Semmes},
    title   = {Compensated {C}ompactness and {H}ardy {S}paces},
    journal = {J. Math. Pures et Appl.},
    pages   = {247--286},
    year    = {1993},
    volume  = {72}
}


@inproceedings{CO-MEY86,
    author  = {R. Coifman and Y. Meyer},
    editor  = {E. Stein},
    title   = {Non-linear Harmonic Analysis, Operator Theory and PDE},
    booktitle = {Annals of Math Studies},
    year    = {1986}
}


@unpublished{COPERS,
    author  = {R. R. Coifman},
    title   = {personal communication},
    year    = {1990},
    note    = {personal communication}
}


@article{CO-MEY90,
    author  = {R. R. Coifman and Y. Meyer},
    title   = {Nouvelles bases orthogonales},
    journal = {C.R. Acad. Sci. Paris},
    year    = {1990}
}


@article{CO-MEY-WICK,
    author  = {R. R. Coifman and Y. Meyer and M. V. Wickerhauser},
    title   = {Wavelet Analysis and Signal Processing},
    journal = {preprint},
    year    = {1991}
}


@article{COIFMAN-SAITO,
    author  = {R. R. Coifman and N. Saito},
    title   = {Local discriminant bases and their applications},
    journal = {J. Mathematical Imaging and Vision},
    pages   = {337--358},
    year    = {1995},
    volume  = {5},
    number  = {4}
}


@inproceedings{CO-WI94,
    author  = {R. R. Coifman and M. V. Wickerhauser},
    editor  = {John J. Benedetto and Michael W. Frazier},
    title   = {Wavelets and adapted waveform analysis},
    booktitle = {Wavelets: {M}athematics and {A}pplications},
    pages   = {399--423},
    year    = {1994},
    publisher = {CRC Press}
}


@article{CO-WICK90,
    author  = {R. R. Coifman and M. V. Wickerhauser},
    title   = {Best-adapted wave packet bases},
    journal = {preprint},
    year    = {1990},
    address = {Yale University}
}


@article{COOLEY-TUKEY,
    author  = {J. W. Cooley and J. W. Tukey},
    title   = {An algorithm for the machine computation of complex {F}ourier series},
    journal = {Math. Comp.},
    pages   = {297--301},
    year    = {1965},
    volume  = {19}
}


@phdthesis{CRAMER,
    author  = {R. L. Cramer},
    title   = {A Multiresolution Approach to Fast Summation and Regularization of Singular Operators},
    year    = {1996},
    school  = {University of Colorado at Boulder}
}


@book{DAHL-BJOR,
    author  = {G. Dahlquist and A. Bj{\"{o}}rck},
    title   = {Numerical {M}ethods},
    year    = {1974},
    publisher = {Prentice-Hall},
    address = {Englewood Cliffs, NJ}
}


@incollection{DAHMEN89,
    author  = {W. Dahmen and L. Elsner},
    title   = {Algebraic multigrid methods and the {S}chur complement},
    booktitle = {Robust multi-grid methods (Kiel, 1988)},
    pages   = {58--68},
    year    = {1989},
    publisher = {Vieweg},
    address = {Braunschweig},
    series  = {Notes Numer. Fluid Mech., 23}
}


@article{DAU:93,
    author  = {I. Daubechies},
    title   = {Orthonormal bases of compactly supported wavelets {II. Variations} on a theme},
    journal = {SIAM J. Math. Anal.},
    pages   = {499--519},
    year    = {1993},
    month   = {Mar.},
    volume  = {24},
    number  = {2}
}


@article{DAUB-LAG2,
    author  = {I. Daubechies and J. C. Lagarias},
    title   = {Two-scale difference equations {II. Local} regularity, infinite products of matrices and fractals},
    journal = {SIAM J. Math. Anal.},
    pages   = {1031--1079},
    year    = {1992},
    month   = {Jul.},
    volume  = {23},
    number  = {4}
}


@article{DE-AL,
    author  = {N. Delprat and B. Escudi\'e and P. Guillemain and R.inet\-net and Ph. Tchamitchian and B. Torr\'esani},
    title   = {Asymptotic wavelet and {G}abor analysis: extraction of instantaneous frequencies},
    journal = {IEEE Trans. Inform. Theory},
    pages   = {644--664},
    year    = {1992},
    volume  = {38},
    note    = {Special issue on wavelet and multiresolution analysis}
}


@techreport{DE-JU,
    author  = {B. Delyon and A. Juditsky},
    title   = {On the computation of wavelet coefficients},
    institution = {IRISA, Campus de Beaulieu, 35042 Rennes Cedex, France},
    year    = {1994},
    number  = {1994/PI-856}
}


@article{DENDY,
    author  = {J. E. Dendy},
    title   = {Black Box Multigrid},
    journal = {J. Comp. Physics},
    pages   = {366--386},
    year    = {1982},
    volume  = {48}
}


@article{DES-DUBUC,
    author  = {G. Deslauriers and S. Dubuc},
    title   = {Symmetric Iterative Interpolation Processes},
    journal = {Constructive Approximation},
    pages   = {49--68},
    year    = {1989},
    volume  = {5}
}


@article{DEVANEY,
    author  = {A. J. Devaney},
    title   = {A filtered backpropagation algorithm for diffraction tomography},
    journal = {Ultrasonic Imaging},
    pages   = {336--350},
    year    = {1982},
    volume  = {4}
}


@article{DEV-BEY,
    author  = {A. J. Devaney and G. Beylkin},
    title   = {Diffraction tomography using arbitrary transmitter and receiver surfaces},
    journal = {Ultrasonic Imaging},
    pages   = {181--193},
    year    = {1984},
    volume  = {6}
}


@book{LINPACK,
    author  = {J. J. Dongarra and C. B. Moler and J. B. Bunch and G. W. Stewart},
    title   = {Linpack {U}ser {G}uide},
    year    = {1979},
    publisher = {SIAM}
}


@article{DONOHO01,
    author  = {D. L. Donoho},
    title   = {Unconditional bases are optimal bases for data compression and for statistical estimation},
    journal = {Appl. and Comp. Harmonic Analysis},
    year    = {1993},
    volume  = {1}
}


@incollection{DON-ERG-VILL,
    author  = {P. Donoho and R. Ergas and J. D. Villasenor},
    title   = {High-Performance Seismic Trace Compression},
    booktitle = {65th Annual Intern. Conv. Soc. Expl. Geophys.},
    year    = {1995},
    publisher = {Soc. Expl. Geophys}
}


@book{DORO95,
    author  = {M. Dorobantu},
    title   = {{W}avelet-based {A}lgorithms for {F}ast {PDE} {S}olvers},
    year    = {1995},
    publisher = {Dissertation},
    address = {{R}oyal {I}nstitute of {T}echnology, {S}tockholm {U}niversity}
}


@article{DORO-ENGQ,
    author  = {M. Dorobantu and B. Engquist},
    title   = {Wavelet-based numerical homogenization},
    journal = {SIAM J. Numer. Anal.},
    pages   = {540--559},
    year    = {1998},
    volume  = {35},
    number  = {2}
}


@article{VAIDY90,
    author  = {Z. Do\v{g}anata and P. P. Vaidyanathan},
    title   = {Minimal structures for the implementation of digital rational lossless systems},
    journal = {IEEE Trans. Acoust., Speech and Signal Processing},
    pages   = {2058--2074},
    year    = {1990},
    volume  = {38}
}


@book{DREIZLER90,
    author  = {R. M. Dreizler and E. K. U. Gross},
    title   = {Density Functional Theory: An Approach to the Quantum Many-Body Problem},
    year    = {1990},
    publisher = {Springer-Verlag}
}


@article{DUBUC,
    author  = {S. Dubuc},
    title   = {Interpolation through an iterative scheme},
    journal = {J. Math. Anal. and Appl.},
    pages   = {185--204},
    year    = {1986},
    volume  = {114}
}


@book{DUFF,
    author  = {I. S. Duff and A. M. Erisman and J. K. Reid},
    title   = {Direct {M}ethods for {S}parse {M}atrices},
    year    = {1986},
    publisher = {Clarendon Press},
    address = {Oxford}
}


@incollection{DUT,
    author  = {P. Dutilleux},
    editor  = {J. M. Combes and A. Grossmann and Ph. Tchamitchian},
    title   = {An implementation of the ``Algorithme \`{a} Trous'' to compute the wavelet transform},
    booktitle = {Wavelets, Time-Frequency Methods and Phase Space},
    pages   = {298--304},
    year    = {1989},
    publisher = {Springer-Verlag}
}


@article{DUTT-ROKHLIN,
    author  = {A. Dutt and V. Rokhlin},
    title   = {Fast {F}ourier {T}ransform for {N}onequispaced {D}ata},
    journal = {SIAM J. Sci. Stat. Comput.},
    year    = {1993}
}


@article{DMT,
    author  = {M. Duval-Destin and M. A. Muschietti and B. Torr\'esani},
    title   = {Continuous wavelet decompositions, multiresolution and contrast analysis},
    journal = {SIAM J. Math. Anal.},
    pages   = {739--755},
    year    = {1993},
    month   = {May},
    volume  = {24},
    number  = {3}
}


@article{ENGQ-MAJDA,
    author  = {B. Engquist and A. Majda},
    title   = {Radiation Boundary Conditions for Acoustic and Elastic Wave Calculations},
    journal = {Comm. Pure Appl. Math.},
    pages   = {313--357},
    year    = {1979},
    volume  = {32}
}


@article{ENGQ-OSHER,
    author  = {B. Engquist and S. Osher and S. Zhong},
    title   = {Fast Wavelet Based Algorithms for Linear Evolution Equations},
    journal = {UCLA Comp. Appl. Math. Reports},
    year    = {1992},
    month   = {February}
}


@article{ESME-ORIS,
    author  = {C. Esmersoy and M. L. Oristaglio},
    title   = {Reverse-time wave-field extrapolation, imaging and inversion},
    journal = {Geophysics},
    pages   = {920--931},
    year    = {1988},
    volume  = {53},
    number  = {7}
}


@article{ESME-ORIS-LEVY,
    author  = {C. Esmersoy and M. L. Oristaglio and B. C. Levy},
    title   = {Multidimensional {B}orn velocity inversion: single wideband point source},
    journal = {J. Acoustic Soc. Am.},
    pages   = {1052--1057},
    year    = {1985},
    volume  = {78},
    number  = {3}
}


@article{EST-GAL,
    author  = {D. Esteban and C. Galand},
    title   = {Application of quadrature mirror filters to split band voice coding systems},
    journal = {International Conference on Acoustics, Speech and Signal Processing},
    pages   = {191--195},
    year    = {1977},
    note    = {Washington, DC}
}


@article{FEDERBUSH,
    author  = {P. Federbush},
    title   = {A {M}ass {Z}ero {C}luster {E}xpansion},
    journal = {Comm. Math. Phys.},
    pages   = {327--340},
    year    = {1981},
    volume  = {81}
}


@article{FEDORENKO,
    author  = {R. P. Fedorenko},
    title   = {The speed of convergence of one iterative process},
    journal = {USSR Comp. Math. and Math. Physics},
    pages   = {227--235},
    year    = {1964},
    volume  = {4}
}


@article{FRENCH,
    author  = {W. S. French},
    title   = {Computer migration of oblique seismic reflection profiles},
    journal = {Geophysics},
    pages   = {961--980},
    year    = {1975},
    volume  = {40}
}


@article{FZT,
    author  = {U. Frish and Zhen Su She and O. Thual},
    title   = {Viscoelastic Behaviour of Cellular Solutions to the Kuramoto-Sivashinsky Model},
    journal = {J. Fluid Mech.},
    pages   = {221--240},
    year    = {1986},
    volume  = {168}
}


@book{GARABEDIAN,
    author  = {P. Garabedian},
    title   = {Partial {D}ifferential {E}quations},
    year    = {1986},
    publisher = {Chelsea Pub. Co},
    address = {New York, NY}
}


@book{garland,
    author  = {J. Garland},
    title   = {How Great {I} was in {Oz}},
    year    = {1939},
    publisher = {Whatever Publ.},
    address = {Hollywood, CA}
}


@article{GA-SG,
    author  = {J. Gazdag and P. Sguazzero},
    title   = {Migration of seismic data},
    journal = {Proc. IEEE},
    pages   = {1302--1315},
    year    = {1984},
    volume  = {72}
}


@book{GEAR,
    author  = {C. W. Gear},
    title   = {Numerical {I}nitial {V}alue {P}roblems in {O}rdinary {D}ifferential {E}quations},
    year    = {1973},
    publisher = {Prentice-Hall},
    address = {Englewood Cliffs, NJ}
}


@article{GGS69,
    author  = {I. M. Gel'fand and M. I. Graev and Z. Ya. Shapiro},
    title   = {Differential forms and integral geometry},
    journal = {Functional {A}nal. {A}ppl.},
    pages   = {24--40},
    year    = {1969},
    volume  = {3}
}


@article{GE-JO-SP-ST,
    author  = {L. J. Gelius and I. Johansen and N. Sponheim and J. J. Stamnes},
    title   = {A generalized diffraction tomography algorithm},
    journal = {J. Acoustic Soc. Am.},
    pages   = {523--528},
    year    = {1991},
    volume  = {89},
    number  = {2}
}


@article{GEMAN,
    author  = {S. Geman and D. Geman},
    title   = {Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images},
    journal = {IEEE Trans. Pattern Anal. Machine Intell.},
    pages   = {721--741},
    year    = {1984},
    month   = {Nov.},
    volume  = {6},
    number  = {6}
}


@article{GERCHBERG,
    author  = {R. W. Gerchberg},
    title   = {Super resolution through error energy reduction},
    journal = {Opt. Acta},
    pages   = {709--720},
    year    = {1974},
    volume  = {21}
}


@article{GILBERT,
    author  = {A. Gilbert},
    title   = {A Comparison of Multiresolution and Classical One-Dimensional Homogenization Schemes},
    journal = {Preprint},
    year    = {1996},
    note    = {to appear in Appl. and Comp. Harmonic Analysis}
}


@article{GI-BE-DUNN,
    author  = {D. L. Gines and G. Beylkin and J. Dunn},
    title   = {{LU} Factorization of Non-Standard Forms and Direct Multiresolution Solvers},
    journal = {PAM Report 278},
    year    = {1996}
}


@article{GLIMM,
    author  = {J. Glimm},
    title   = {Solutions in the large for non-linear hyperbolic systems of equations},
    journal = {Comm. Pure Appl. Math.},
    pages   = {697--715},
    year    = {1965},
    volume  = {18}
}


@book{GOLUB1,
    author  = {G. H. Golub and C. F. {Van Loan}},
    title   = {{M}atrix {C}omputations},
    year    = {1989},
    publisher = {{J}ohns {H}opkins {U}niversity {P}ress},
    edition = {2nd}
}


@inproceedings{GO:92,
    key     = {wlet},
    author  = {R. A. Gopinath and C. S. Burrus},
    title   = {On the Moments of the Scaling Function $\psi_0$},
    booktitle = {Proc. of the IEEE ISCAS},
    pages   = {963--966},
    year    = {1992},
    month   = may,
    address = {San Diego, CA},
    volume  = {2},
    note    = {Also Tech. Report CML TR91-05}
}


@article{GOUP-GROS-MORL,
    author  = {P. Goupillaud and A. Grossmann and J. Morlet},
    title   = {{C}ycle-{O}ctave and related transforms in seismic signal analysis},
    journal = {Geoexploration},
    pages   = {85--102},
    year    = {1984},
    volume  = {23}
}


@book{KNUTHBOOK:89,
    author  = {R. Graham and D. K. Knuth and O. Patashnik},
    title   = {Concrete Mathematics},
    year    = {1989},
    publisher = {Addison Wesley}
}


@article{GREENGARD90,
    author  = {L. Greengard},
    title   = {Potential flow in channels},
    journal = {SIAM J. Sci. Stat. Comput.},
    pages   = {603--620},
    year    = {1990},
    volume  = {11},
    number  = {4}
}


@article{GR-RO-BVP,
    author  = {L. Greengard and V. Rokhlin},
    title   = {On the {N}umerical {S}olution of {T}wo-{P}oint {B}oundary {V}alue {P}roblems},
    journal = {Comm. Pure Appl. Math.},
    pages   = {419},
    year    = {1991},
    volume  = {44},
    number  = {4},
    note    = {Yale University Technical Report, YALEU/DCS/RR-692 (1989)}
}


@article{GR-STRAIN,
    author  = {L. Greengard and J. Strain},
    title   = {The fast {G}auss transform},
    journal = {SIAM J. Sci. Stat. Comput.},
    pages   = {79--94},
    year    = {1991},
    volume  = {12},
    number  = {1}
}


@incollection{GROSEDGE,
    author  = {A. Grossmann},
    editor  = {S. Albeverio et al.},
    title   = {Wavelet transforms and edge detection},
    booktitle = {Stochastic Processes in Physics and Engineering},
    pages   = {149--157},
    year    = {1988},
    publisher = {D. Reidel Publishing Company}
}


@inproceedings{GROS-KRON-MORL,
    author  = {A. Grossmann and R. Kronland-{M}artinet and J. Morlet},
    editor  = {J. M. Combes and A. Grossmann and Ph. Tchamitchian},
    title   = {Reading and understanding continuous wavelet transforms},
    booktitle = {Wavelets: Time-Frequency Methods and Phase Space},
    pages   = {2--20},
    year    = {1989},
    publisher = {Springer-Verlag}
}


@book{GUI-STER,
    author  = {V. Guillemin and S. Sternberg},
    title   = {Geometrical Asymptotics},
    year    = {1977},
    publisher = {Math. Surveys 14, Amer. Math. Soc.},
    address = {Providence, RI}
}


@article{HAAR,
    author  = {A. Haar},
    title   = {Zur {T}heorie der orthogonalen {F}unktionensysteme},
    journal = {Mathematische Annalen},
    pages   = {331--371},
    year    = {1910}
}


@article{HACKBUSCH,
    author  = {W. Hackbusch},
    title   = {On multi-grid method applied to difference equations},
    journal = {Computing},
    pages   = {291--306},
    year    = {1978},
    volume  = {20}
}


@article{HAGEDOORN,
    author  = {J. G. Hagedoorn},
    title   = {A process of seismic reflectioninterpretation},
    journal = {Geophysical Prospecting},
    pages   = {85--127},
    year    = {1954},
    volume  = {2}
}


@book{HARRINGTON,
    author  = {R. F. Harrington},
    title   = {Field {C}omputation by {M}oment {M}ethods},
    year    = {1968},
    publisher = {Robert E. Krieger Publishing Company},
    address = {Malabar, Florida}
}


@article{HA-EN-OS-CH,
    author  = {A. Harten and B. Engquist and S. Osher and S. Chakravarthy},
    title   = {Uniformly high order accurate essentially non-oscillatory schemes},
    journal = {J. Comp. Physics},
    pages   = {231--303},
    year    = {1987}
}


@article{HARTEN,
    author  = {A. Harten and I. Yad-{S}halom},
    title   = {Fast Multiresolution Algorithms for Matrix-Vector Multiplication},
    journal = {SIAM J. Numer. Anal.},
    pages   = {1191--1218},
    year    = {1994},
    volume  = {31}
}


@article{HOCH-LUB,
    author  = {M. Hochbruck and C. Lubich},
    title   = {On {K}rylov subspace approximations to the matrix exponential operator},
    journal = {SIAM J. Numer. Anal.},
    pages   = {1911--1925},
    year    = {1997},
    volume  = {34},
    number  = {5}
}


@incollection{HOL,
    author  = {M. Holschneider and R. Kronland-{M}artinet and J. Morlet and A. Grossmann},
    editor  = {J. M. Combes and A. Grossmann and Ph. Tchamitchian},
    title   = {A real-time algorithm for signal analysis with the help of the wavelet transform},
    booktitle = {Wavelets, Time-Frequency Methods and Phase Space},
    pages   = {286--297},
    year    = {1989},
    publisher = {Springer-Verlag}
}


@article{HORM71,
    author  = {L. Hormander},
    title   = {Fourier integral operators},
    journal = {Acta {M}ath.},
    pages   = {79--183},
    year    = {1971},
    volume  = {127}
}


@article{HORNBY,
    author  = {B. E. Hornby},
    title   = {Imaging of near-borehole structure using full-waveform sonic data},
    journal = {Geophysics},
    pages   = {747--757},
    year    = {1989},
    volume  = {54},
    number  = {6}
}


@article{HUFFMAN,
    author  = {D. Huffman},
    title   = {A method for the construction of minimum redundancy codes},
    journal = {Proc. of IRE},
    pages   = {1098--1101},
    year    = {1952},
    volume  = {40}
}


@inproceedings{HUMMEL1,
    author  = {R. A. Hummel},
    title   = {Representation based on Zero-crossings in scale-space},
    booktitle = {Proc. IEEE Conf. Comput. Vision, Pattern Recognition},
    pages   = {204--209},
    year    = {1986}
}


@article{HUMMON,
    author  = {R. A. Hummel and R. Moniot},
    title   = {Reconstruction from zero crossings in scale space},
    journal = {IEEE Trans. Acoust., Speech and Signal Processing},
    pages   = {2111--2130},
    year    = {1989},
    month   = {Dec.},
    volume  = {37},
    number  = {12}
}


@book{ISERLES,
    author  = {A. Iserles},
    title   = {A first course in the numerical analysis of differential equations},
    year    = {1996},
    publisher = {Cambridge University Press}
}


@article{JAFFARD90,
    author  = {S. Jaffard},
    title   = {Propri\'{e}t\'{e}s des matrices {\it bien localisees} pr\`{e}s de leur diagonale et quelques applications},
    journal = {Annales de l'{IHP}, {S}eries Problemes non lin\'{e}aires},
    pages   = {461--476},
    year    = {1990},
    volume  = {7},
    number  = {5}
}


@article{JSR,
    author  = {M. K. Jain and V. K. Srivastava},
    title   = {High Order Stiffly Stable Methods for Ordinary Differential Equations},
    journal = {Technical Report 394},
    year    = {1970},
    address = {University of Illinois, Urbana IL}
}


@article{JA:92,
    author  = {A. J. E. M. Janssen},
    title   = {The {S}mith-{B}arnwell condition and nonnegative scaling functions},
    journal = {IEEE Trans. Inform. Theory},
    pages   = {884--886},
    year    = {1992},
    volume  = {38},
    number  = {2, part 2},
    issn    = {0018-9448},
    coden   = {IETTAW}
}


@article{JAW-SWE:94,
    author  = {B. Jawerth and W. Sweldens},
    title   = {An overview of wavelet based multiresolution analyses},
    journal = {SIAM Rev.},
    pages   = {377--412},
    year    = {1994},
    volume  = 36,
    number  = 3
}


@article{JERISON,
    author  = {D. Jerison},
    title   = {The diameter of the first nodal line of a convex domain},
    journal = {Annals of Mathematics},
    pages   = {1--33},
    year    = {1995},
    volume  = {141}
}


@book{JI-KO-OL,
    author  = {V. V. Jikov and S. M. Kozlov and O. A. Oleinik},
    title   = {Homogenization of {D}ifferential {O}perators and {I}ntegral {F}unctionals},
    year    = {1994},
    publisher = {Springer-Verlag},
    address = {NY}
}


@article{JOUINI-LR,
    author  = {A. Jouini and P. G. Lemari\'e-{R}ieusset},
    title   = {Analyse multi-r\'{e}solution biorthogonale sur l'intervalle et applications},
    journal = {Annales de l'Institut Poincare, Analyse Non-lineaire},
    pages   = {453},
    year    = {1993},
    volume  = {10},
    number  = {4}
}


@article{KARMARKAR,
    author  = {N. Karmarkar},
    title   = {A new polynomial-time algorithm for linear programming},
    journal = {Combinatorica},
    pages   = {373--395},
    year    = {1985},
    volume  = {4},
    number  = {4}
}


@article{KIO,
    author  = {G. E. Karniadakis and M. Israeli and S. A. Orszag},
    title   = {High {O}rder {S}plitting {M}ethods for the {I}ncompressible {N}avier-{S}tokes {E}quations},
    journal = {J. Comp. Physics},
    pages   = {414},
    year    = {1991},
    volume  = {97}
}


@book{KATO,
    author  = {T. Kato},
    title   = {Perturbation {T}heory for {L}inear {O}perators},
    year    = {1996},
    publisher = {Springer-Verlag New York, Inc.},
    address = {New York}
}


@phdthesis{KEISER,
    author  = {J. M. Keiser},
    title   = {On I. Wavelet Based Approach to Numerical Solution of Nonlinear Partial Differential Equations and II. Nonlinear Waves in Fully Discrete Dynamical Systems},
    year    = {1995},
    school  = {University of Colorado at Boulder}
}


@article{KENNEY-LAUB,
    author  = {C. S. Kenney and A. J. Laub},
    title   = {The {M}atrix {S}ign {F}unction},
    journal = {IEEE Transactions on Automatic Control},
    pages   = {1330--1348},
    year    = {1995},
    volume  = {40},
    number  = {8}
}


@article{KESAVAN2,
    author  = {S. Kesavan},
    title   = {{H}omogenization of {E}lliptic {E}igenvalue {P}roblems: Part 2},
    journal = {{A}ppl. {M}ath. {O}ptim.},
    pages   = {197--216},
    year    = {1979},
    volume  = {5},
    number  = {3}
}


@book{KLAUDER-SKAG,
    author  = {J. R. Klauder and B.-S. Skagerstam},
    title   = {Coherent {S}tates},
    year    = {1985},
    publisher = {World Scientific},
    address = {Singapore}
}


@article{KNAPEK,
    author  = {S. Knapek},
    title   = {Matrix-dependent multigrid-homogenization for diffusion problems},
    journal = {SIAM J. Sci. Stat. Comput.},
    pages   = {515--533},
    year    = {1998},
    volume  = {20(2)}
}


@article{KO-NI,
    author  = {J. Kohn and L. Nirenberg},
    title   = {An algebra of pseudodifferential operators},
    journal = {Comm. Pure Appl. Math.},
    pages   = {269--305},
    year    = {1965},
    volume  = {18}
}


@article{KOOT-BIT,
    author  = {P. J. Kootsookos and R. R. Bitmead and M. Green},
    title   = {The {N}ehari {S}huffle: {FIR(q)} {F}ilter {D}esign with {G}uaranteed {E}rror {B}ounds},
    journal = {IEEE Trans. Signal Processing},
    pages   = {1876--1883},
    year    = {1992},
    volume  = {40}
}


@article{KRON-MO-GROS,
    author  = {R. Kronland-{M}artinet and J. Morlet and A. Grossmann},
    title   = {Analysis of sound patterns through wavelet transforms},
    journal = {J. Pattern Recognition and Artificial Intell.},
    pages   = {273--302},
    year    = {1987},
    volume  = {1},
    number  = {2}
}


@article{LAWTON91,
    author  = {W. M. Lawton},
    title   = {Necessary and sufficient conditions for constructing orthonormal wavelet bases},
    journal = {J. Math. Phys.},
    year    = {1991},
    volume  = {32},
    number  = {1}
}


@book{LAX,
    author  = {P. D. Lax},
    title   = {Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves},
    year    = {1973},
    publisher = {SIAM},
    series  = {{SIAM} {R}egional Conference Series in Applied Mathematics}
}


@article{LECLERC,
    author  = {Y. G. Leclerc},
    title   = {Constructing simple stable descriptions for image partitioning},
    journal = {Intern. J. Computer Vision},
    pages   = {73--102},
    year    = {1989},
    volume  = {3}
}


@article{LEMARIE88,
    author  = {P. G. Lemari\'e-{R}ieusset},
    title   = {Ondelettes \`a localisation exponentielles},
    journal = {J. Math. Pures et Appl.},
    pages   = {227--236},
    year    = {1988},
    volume  = {67}
}


@article{LEMARIE92,
    author  = {P. G. Lemari\'e-{R}ieusset},
    title   = {Sur l'existence des analyses multir\'esolution en th\'eorie des ondelettes},
    journal = {Revista Matem\'atica Iberoamericana},
    pages   = {457--474},
    year    = {1992},
    volume  = {8},
    number  = {3}
}


@article{LEVY-ESMER,
    author  = {B. C. Levy and C. Esmersoy},
    title   = {Variable background {B}orn inversion by wavefield backpropagation},
    journal = {SIAM J. Appl. Math.},
    pages   = {952--971},
    year    = {1988},
    volume  = {48},
    number  = {4}
}


@article{LINER,
    author  = {C. L. Liner},
    title   = {{B}orn theory of wave-equation dip moveout},
    journal = {Geophysics},
    pages   = {182--189},
    year    = {1991},
    volume  = {56},
    number  = {2}
}


@article{LITTLE-PALEY,
    author  = {J. Littlewood and R. Paley},
    title   = {Theorems on {F}ourier {S}eries and {P}ower {S}eries},
    journal = {Proc. London Math. Soc.},
    pages   = {52--89},
    year    = {1937},
    volume  = {42},
    number  = {2}
}


@book{MAES,
    author  = {S. Maes},
    title   = {The {W}avelet {T}ransform in {S}ignal {P}rocessing, with {A}pplications to the {E}xtraction of {S}peech {M}odulation {M}odel {F}eatures},
    year    = {1994},
    publisher = {Dissertation},
    address = {Universit\'e {C}atholique de {L}ouvain, {L}ouvain la {N}euve, {B}elgium}
}


@article{MALLAT5,
    author  = {S. Mallat},
    title   = {Zero-crossings of a wavelet transform},
    journal = {IEEE Trans. Inform. Theory},
    pages   = {1019--1033},
    year    = {1991},
    month   = {July},
    volume  = {37},
    number  = {4}
}


@techreport{MALLAT88,
    author  = {S. Mallat},
    title   = {Review of Multifrequency Channel Decomposition of Images and Wavelet Models},
    institution = {Courant Institute of Mathematical Sciences, New York University},
    year    = {1988},
    number  = {412},
    type    = {Technical Report}
}


@techreport{MALLAT4,
    author  = {S. Mallat and S. Zhong},
    title   = {Complete signal representation with multiscale edges},
    institution = {Courant Institute of Mathematical Sciences, New York University},
    year    = {1989},
    month   = {Dec.},
    number  = {483},
    type    = {Technical Report}
}


@article{MALVAR90,
    author  = {H. S. Malvar},
    title   = {Lapped {T}ransforms for {E}fficient {T}ransform/{S}ubband {C}oding},
    journal = {IEEE Trans. Acoust., Speech and Signal Processing},
    pages   = {969--978},
    year    = {1990},
    volume  = {38},
    number  = {6}
}


@article{MCCORM89,
    author  = {J. Mandel and S. F. McCormick},
    title   = {A Multilevel Variational Method for ${A}u=\lambda {B}u$ on Composite Grids},
    journal = {J. Comp. Physics},
    pages   = {442--452},
    year    = {1989},
    month   = {February},
    volume  = {80},
    number  = {2}
}


@book{MARR,
    author  = {D. Marr},
    title   = {Vision},
    year    = {1982},
    publisher = {W. H. Freeman and Company}
}


@inproceedings{MQ,
    author  = {R. J. McAulay and T. F. Quatieri},
    editor  = {S. Furui and M. Mohan Sondui},
    title   = {Low Rate Speech Coding Based on the Sinusoidal Model},
    booktitle = {Advances in Speech Signal Processing},
    year    = {1992}
}


@article{MCCORM94,
    author  = {S. F. McCormick},
    title   = {Multigrid Adaptive methods for elliptic eigenproblems: a two -level convergence theory},
    journal = {SIAM J. Numer. Anal.},
    pages   = {1731--1745},
    year    = {1994},
    volume  = {31},
    number  = {6}
}


@article{MEY91,
    author  = {Y. Meyer},
    title   = {Ondelettes sur l'intervalle},
    journal = {Revista Matem\'atica Iberoamericana},
    pages   = {115--133},
    year    = {1991},
    volume  = {7},
    number  = {2}
}


@book{MEYER,
    author  = {Y. Meyer},
    title   = {Ondelettes et Op\'{e}rateurs},
    year    = {1990},
    publisher = {Hermann},
    address = {Paris}
}


@inproceedings{MEYER2,
    author  = {Y. Meyer},
    editor  = {E. Berkson, N. T. Peck and J. Uhl},
    title   = {Wavelets and Operators},
    booktitle = {Analysis at Urbana},
    organization = {London Math. Society},
    year    = {1989},
    publisher = {Lecture Notes Series 137},
    note    = {v.1}
}


@article{MILDER,
    author  = {D. Milder},
    title   = {An improved formalism for wave scattering from rough surfaces},
    journal = {J. Acoustic Soc. Am.},
    pages   = {529--541},
    year    = {1991},
    volume  = {89},
    number  = {2}
}


@article{MILD-SHAR,
    author  = {D. Milder and H. T. Sharp},
    title   = {An improved formalism for rough surface scattering. II: Numerical trials in three dimensions},
    journal = {J. Acoustic Soc. Am.},
    pages   = {2620--2626},
    year    = {1992},
    volume  = {91},
    number  = {5}
}


@article{MI-OR-BEY,
    author  = {D. Miller and M. L. Oristaglio and G. Beylkin},
    title   = {A new slant on seismic imaging: classical migration and integral geometry},
    journal = {Geophysics},
    pages   = {943--964},
    year    = {1987},
    volume  = {52},
    number  = {7}
}


@phdthesis{MONZON:94,
    author  = {L. Monz\'on},
    title   = {Constructive Multiresolution Analysis and the Structure of Quadrature Mirror Filters},
    year    = {1994},
    month   = {May},
    school  = {Yale University}
}


@unpublished{MONZONPERS,
    author  = {L. Monz\'on},
    title   = {personal communication},
    year    = {1993},
    month   = {July},
    note    = {personal communication}
}


@inproceedings{MUMF-SHAH,
    author  = {D. Mumford and J. Shah},
    title   = {Boundary detection by minimizing functionals, {I}},
    booktitle = {Proc. IEEE Conf. on Computer Vision and Pattern Recognition},
    pages   = {22--26},
    year    = {1985}
}


@article{MURAT,
    author  = {F. Murat},
    title   = {Compacit\'e par {C}ompensation},
    journal = {Ann. {S}cuola {N}orm. {S}up. {P}isa {C}l. {S}ci},
    pages   = {485--507},
    year    = {1978},
    volume  = {5},
    number  = {4}
}


@article{MU-TOR,
    author  = {M. A. Muschietti and B. Torr\'esani},
    title   = {Pyramidal algorithms for Littlewood-Paley decompositions},
    journal = {SIAM J. Math. Anal.},
    year    = {1995},
    volume  = {26},
    note    = {preprint 1993}
}


@article{NAHMOD,
    author  = {A. R. Nahmod},
    title   = {Generalized Uncertainty Principles on Spaces of Homogeneous Type},
    journal = {Journal of Functional Analysis},
    pages   = {171--209},
    year    = {1994},
    volume  = {119}
}


@book{NATTERER,
    author  = {F. Natterer},
    title   = {The {M}athematics of {C}omputerized {T}omography},
    year    = {1986},
    publisher = {Wiley},
    address = {NY}
}


@article{NORRIS,
    author  = {A. Norris},
    title   = {Waves in {P}eriodically {L}ayered {M}edia: a {C}omparison of {T}wo theories},
    journal = {SIAM J. Appl. Math.},
    pages   = {1195--1209},
    year    = {1993},
    volume  = {53}
}


@article{NORTON87,
    author  = {S. J. Norton},
    title   = {Fast Magnetic Resonance Imaging with Simultaneously Oscillating and Rotating Field Gradients},
    journal = {IEEE Transactions on Medical Imaging},
    pages   = {21--31},
    year    = {1987},
    volume  = {6},
    number  = {1}
}


@article{DONNEL-RO,
    author  = {S. T. O'Donnel and V. Rokhlin},
    title   = {A Fast Algorithm for the Numerical Evaluation of Conformal Mappings},
    journal = {SIAM J. Sci. Stat. Comput.},
    pages   = {475--487},
    year    = {1989},
    volume  = {10},
    number  = {3},
    note    = {Yale University Technical Report, YALEU/DCS/RR-554 (1987)}
}


@article{OSHER-RUDIN,
    author  = {S. Osher and L. I. Rudin},
    title   = {Feature-oriented image enhancement using shock filters},
    journal = {SIAM J. Numer. Anal.},
    pages   = {919--940},
    year    = {1990},
    month   = {Aug.},
    volume  = {27},
    number  = {4}
}


@article{PAPOULIS,
    author  = {A. Papoulis},
    title   = {A new algorithm in spectral analysis and band-limited extrapolation},
    journal = {IEEE Trans. Circuits Syst.},
    pages   = {735--742},
    year    = {1975},
    volume  = {CAS-22}
}


@article{PESKIN,
    author  = {C. S. Peskin},
    title   = {Numerical analysis of blood flow in the heart},
    journal = {J. Comp. Physics},
    pages   = {220--252},
    year    = {1977},
    volume  = {25}
}


@book{PRASOLOV,
    author  = {V. V. Prasolov},
    title   = {Problems and {T}heorems in {L}inear {A}lgebra},
    year    = {1994},
    publisher = {American Mathematical Society},
    address = {Providence, RI},
    volume  = 134,
    series  = {Translations of {M}athematical {M}onographs}
}


@article{PRESS-RYB,
    author  = {W. H. Press and G. B. Rybicki},
    title   = {Fast {A}lgorithm for spectral analysis of unevenly sampled data},
    journal = {The Astrophysical Journal},
    pages   = {227--280},
    year    = {1989},
    volume  = {338}
}


@article{QUINTO,
    author  = {E. Quinto},
    title   = {The dependence of the Generalized Radon Transform on defining measures},
    journal = {Trans. Amer. Math. Soc.},
    pages   = {331--346},
    year    = {1980},
    volume  = {257}
}


@incollection{REIT-HELL,
    author  = {E. C. Reiter and P. N. Heller},
    title   = {Wavelet Transformation-Based Compression of NMO-corrected CDP gathers},
    booktitle = {64th Annual Intern. Conv. Soc. Expl. Geophys.},
    year    = {1994},
    publisher = {Soc. Expl. Geophys}
}


@incollection{MGNET,
    author  = {Multigrid Repository},
    title   = {http://NA.CS.Yale.EDU/mgnet/www/mgnet.html},
    booktitle = {(web)},
    year    = {1996},
    publisher = {---}
}


@book{RIO58,
    author  = {J. Riordan},
    title   = {An introduction to combinatorial analysis},
    year    = {1958},
    publisher = {Wiley},
    address = {NY}
}


@article{ROKHLIN1,
    author  = {V. Rokhlin},
    title   = {Rapid Solution of Integral Equations of Classical Potential Theory},
    journal = {J. Comp. Physics},
    year    = {1985},
    volume  = {60},
    number  = {2}
}


@incollection{RUGE87,
    author  = {J. W. Ruge and K. St\"{u}ben},
    title   = {Algebraic multigrid},
    booktitle = {Multigrid methods},
    pages   = {73--130},
    year    = {1987},
    publisher = {SIAM},
    address = {Philadelphia, PA},
    series  = {Frontiers Appl. Math., 3}
}


@phdthesis{RUUTH,
    author  = {S. J. Ruuth},
    title   = {Efficient Algorithms for diffusion-generated motion by mean curvature},
    year    = {1996},
    school  = {University of British Columbia}
}


@article{SA-BEY,
    author  = {N. Saito and G. Beylkin},
    title   = {Multiresolution representations using the auto-correlation functions of compactly supported wavelets},
    journal = {IEEE Trans. Signal Processing},
    pages   = {3584--3590},
    year    = {1993},
    volume  = {41},
    number  = {12},
    note    = {See also Research Note at Schlumberger-Doll Research, Ridgefield, CT, 1991 and in Proceedings of ICASSP-92, 4:381--384}
}


@article{SAN-VOG,
    author  = {F. Santosa and M. Vogelius},
    title   = {A backprojection algorithm for electrical-impedance imaging},
    journal = {SIAM J. Appl. Math.},
    pages   = {216--243},
    year    = {1990},
    volume  = {50},
    number  = {1}
}


@article{SCHN78,
    author  = {W. A. Schneider},
    title   = {Integral formulation for migration in two and three dimensions},
    journal = {Geophysics},
    pages   = {49--76},
    year    = {1978},
    volume  = {43}
}


@book{SCHOENBERG,
    author  = {I. J. Schoenberg},
    title   = {Cardinal {S}pline {I}nterpolation},
    year    = {1973},
    publisher = {SIAM},
    note    = {CBMS-NSF Series in Applied Math. \#12}
}


@article{SCHU-JAGG,
    author  = {K. I. Schultz and D. L. Jaggard},
    title   = {Microwave projection imaging for refractive objects - a new method},
    journal = {Jour. Optical Soc. Am. A - Optics and Image Science},
    pages   = {1773--1782},
    year    = {1987},
    volume  = {4},
    number  = {9}
}


@article{SCHULZ,
    author  = {G. Schulz},
    title   = {Iterative {B}erechnung der reziproken {M}atrix},
    journal = {Z. Angew. Math. Mech.},
    pages   = {57--59},
    year    = {1933},
    volume  = {13}
}


@inproceedings{SE:96,
    key     = {wlet},
    author  = {I. W. Selesnick and J. E. Odegard and C. S. Burrus},
    title   = {Nearly Symmetric Orthogonal Wavelets with Non-Integer DC Group Delay},
    booktitle = {Seventh Digital Signal Processing Workshop},
    pages   = {431--434},
    year    = {1996},
    month   = sep,
    address = {Loen, Norway}
}


@article{SHAPIRO-EZW,
    author  = {J. M. Shapiro},
    title   = {Embedded image coding using zerotrees of wavelet coefficients},
    journal = {IEEE Trans. Signal Processing},
    pages   = {3445--3462},
    year    = {1993},
    volume  = {41},
    number  = {12}
}


@article{SHENSA,
    author  = {M. J. Shensa},
    title   = {The discrete wavelet transform: wedding the \`{a} trous and {Mallat} algorithms},
    journal = {Signal Processing},
    year    = {1992},
    month   = {Oct.},
    note    = {to appear}
}


@book{SMITH96,
    author  = {B. F. Smith and P. E. Bj{\o}rstad and W. D. Gropp},
    title   = {Domain decomposition},
    year    = {1996},
    publisher = {Cambridge University Press},
    address = {Cambridge},
    note    = {Parallel multilevel methods for elliptic partial differential equations},
    pages   = {{\rm xii}+224 pp.}
}


@article{SMITH-BARN,
    author  = {M. J. Smith and T. P. Barnwell},
    title   = {Exact reconstruction techniques for tree-structured subband coders},
    journal = {IEEE Trans. Acoust., Speech and Signal Processing},
    pages   = {434--441},
    year    = {1986},
    volume  = {34}
}


@article{SMITH92,
    author  = {R. L. Smith},
    title   = {Some interlacing properties of the schur complement of a hermitian matrix},
    journal = {Linear Algebra Appl.},
    pages   = {137--144},
    year    = {1992},
    volume  = {177}
}


@article{SOD-STEW,
    author  = {T. S{\"{o}}derstr{\"{o}}m and G. W. Stewart},
    title   = {On the numerical properties of an iterative method for computing the {M}oore-{P}enrose generalized inverse},
    journal = {SIAM J. Numer. Anal.},
    pages   = {61--74},
    year    = {1974},
    volume  = {11},
    number  = {1}
}


@book{STEIN,
    author  = {E. M. Stein and G. Weiss},
    title   = {Introduction to Fourier Analysis on Euclidean Spaces},
    year    = {1971},
    publisher = {Princeton University Press}
}


@article{STEINBERG94,
    author  = {B. Z. Steinberg and J. J. McCoy},
    title   = {Towards effective parameter theories using multiresolution decomposition},
    journal = {J. Acoustic Soc. Am.},
    pages   = {1130--1143},
    year    = {1994},
    volume  = {96}
}


@book{STOER,
    author  = {J. Stoer and R. Bulirsch},
    title   = {Introduction to Numerical Analysis},
    year    = {1993},
    publisher = {Springer-Verlag New York, Inc.},
    address = {New York},
    edition = {2nd}
}


@article{STOLT78,
    author  = {R. H. Stolt},
    title   = {Migration by Fourier transform},
    journal = {Geophysics},
    pages   = {23--48},
    year    = {1978},
    volume  = {43}
}


@article{STO-WEG85,
    author  = {R. H. Stolt and A. B. Weglein},
    title   = {Migration and inversion of seismic data},
    journal = {Geophysics},
    pages   = {2458--2472},
    year    = {1985},
    volume  = {50}
}


@inproceedings{STROMBERG,
    author  = {J. O. Stromberg},
    title   = {A {M}odified {F}ranklin {S}ystem and {H}igher-{O}rder {S}pline {S}ystems on {${\bf R}^{\rm n}$} as {U}nconditional {B}ases for {H}ardy {S}paces},
    booktitle = {Conference in harmonic analysis in honor of {A}ntoni {Z}ygmund, Wadworth Math. Series},
    pages   = {475--493},
    year    = {1983},
    opteditor = {W. Beckner et al.}
}


@article{SULLIVAN,
    author  = {T. D. Sullivan},
    title   = {A Technique for Convolving Unequally Spaced Samples Using Fast Fourier Transforms},
    journal = {Sandia Report},
    year    = {1990}
}


@inproceedings{SWE-PIE:93,
    author  = {W. Sweldens and R. Piessens},
    title   = {Wavelet Sampling Techniques},
    booktitle = {1993 Proceedings of the Statistical Computing Section},
    pages   = {20--29},
    year    = {1993},
    publisher = {American Statistical Association}
}


@book{SZEGO,
    author  = {G. Szeg{\"{o}}},
    title   = {Orthogonal Polynomials},
    year    = {1975},
    publisher = {AMS},
    address = {Providence RI},
    edition = {4th}
}


@article{TAO,
    author  = {T. Tao},
    title   = {On the almost-everywhere convergence of wavelet summation methods},
    journal = {Appl. and Comp. Harmonic Analysis},
    pages   = {384--387},
    year    = {1996},
    volume  = {3}
}


@book{TARTAR79,
    author  = {L. Tartar},
    title   = {Compensated {C}ompactness and {A}pplications to {P}artial {D}ifferential {E}quations},
    year    = {1979},
    publisher = {Pitman},
    address = {NY},
    series  = {Heriot-Watt Sympos. vol. IV}
}


@inbook{TCHAM95,
    author  = {Ph. Tchamitchian},
    title   = {Wavelets: {T}heory and {A}pplication},
    chapter = {Wavelets, Functions, and Operators},
    pages   = {83--181},
    year    = {1996},
    publisher = {Oxford University Press},
    address = {New York},
    series  = {ICASE/LaRC {S}eries in {C}omputational {S}cience and {E}ngineering},
    note    = {Edited by G. Erlebacher, M. Y. Hussaini and L. Jameson}
}


@article{TRUSSELL,
    author  = {H. J. Trussell and M. R. Civanlar},
    title   = {The feasible solution in signal restoration},
    journal = {IEEE Trans. Acoust., Speech and Signal Processing},
    pages   = {201--212},
    year    = {1984},
    month   = {Apr.},
    volume  = {32},
    number  = {2}
}


@inproceedings{UNS-ALD,
    author  = {M. Unser and A. Aldroubi},
    editor  = {C. Chui},
    title   = {Polynomial Splines and Wavelets --- A Signal Processing Perspective},
    booktitle = {Wavelets: A Tutorial in Theory and Applications},
    pages   = {91--122},
    year    = {1992},
    publisher = {Academic Press}
}


@article{VAI2,
    author  = {P. P. Vaidyanathan},
    title   = {Multirate Digital Filters, Filter Banks, Polyphase Networks, and Applications: A Tutorial},
    journal = {Proc. IEEE},
    pages   = {56--93},
    year    = {1990},
    month   = {Jan.},
    volume  = {78},
    number  = {1}
}


@article{VD:89,
    author  = {P. P. Vaidyanathan and Z. Do\v{g}anata},
    title   = {The role of lossless systems in modern digital signal processing: A tutorial},
    journal = {IEEE Trans. on Education},
    year    = {1989},
    volume  = {32}
}


@article{VAIDY86,
    author  = {P. P. Vaidyanathan and S. K. Mitra and Y. Neuvo},
    title   = {A new approach to the realization of low sensitivity {IIR} digital filters},
    journal = {IEEE Trans. Acoust., Speech and Signal Processing},
    pages   = {350--361},
    year    = {1986},
    volume  = {34}
}


@article{VAIDY89,
    author  = {P. P. Vaidyanathan and T. Q. Nguyen and Z. Do\v{g}anata and T. Saramaki},
    title   = {Improved technique for design of perfect reconstruction {FIR QMF} banks with lossless polyphase matrices},
    journal = {IEEE Trans. Acoust., Speech and Signal Processing},
    pages   = {1042--1056},
    year    = {1989}
}


@incollection{VASS-WICK,
    author  = {A. A. Vassiliou and M. V. Wickerhauser},
    title   = {Comparison of Wavelet Image Coding Schemes for Seismic Data Compression},
    booktitle = {67th Annual Intern. Conv. Soc. Expl. Geophys.},
    year    = {1997},
    publisher = {Soc. Expl. Geophys}
}


@article{VETTER-GA,
    author  = {M. Vetterli and D. Le Gall},
    title   = {Perfect reconstruction {FIR} filter banks: some properties and factorizations},
    journal = {IEEE Trans. Acoust., Speech and Signal Processing},
    pages   = {1057--1071},
    year    = {1989}
}


@article{VETTER,
    author  = {M. Vetterli and C. Herley},
    title   = {Wavelets and filter banks: theory and design},
    journal = {IEEE Trans. Signal Processing},
    pages   = {2207--2232},
    year    = {1992},
    month   = {Sep.},
    volume  = {40},
    number  = {9}
}


@article{VILLE,
    author  = {J. Ville},
    title   = {Th\'eorie et {A}pplications de la {N}otion de {S}ignal {A}nalytique},
    journal = {Cables et Transmissions, 2nd year},
    pages   = {61--74},
    year    = {1948},
    volume  = {1}
}


@article{WARD,
    author  = {R. C. Ward},
    title   = {Numerical computation of the matrix exponential with accuracy estimates},
    journal = {SIAM J. Numer. Anal.},
    pages   = {600--610},
    year    = {1977},
    volume  = {14},
    number  = {4}
}


@book{WHIT-WAT,
    author  = {E. T. Whittaker and G. N. Watson},
    title   = {A {C}ourse of {M}odern {A}nalysis},
    year    = {1980},
    publisher = {Cambridge University Press},
    address = {Cambridge}
}


@book{AWA,
    author  = {M. V. Wickerhauser},
    title   = {Adapted {W}avelet {A}nalysis from {T}heory to {S}oftware},
    year    = {1994},
    publisher = {A. K. Peters},
    address = {Wellesley MA}
}


@book{WILK65,
    author  = {J. H. Wilkinson},
    title   = {The Algebraic Eigenvalue Problem},
    year    = {1965},
    publisher = {Clarendon Press, Oxford}
}


@inproceedings{WITKIN,
    author  = {A. P. Witkin},
    title   = {Scale space filtering},
    booktitle = {Proc. 8th Joint Conf. Artificial Intell.},
    pages   = {1019--1023},
    year    = {1983}
}


@article{WIT-NEA-CLE,
    author  = {I. Witten and R. Neal and J. Cleary},
    title   = {Arithmetic coding for data compression},
    journal = {Comm. of the ACM},
    pages   = {519--540},
    year    = {1987},
    volume  = {30},
    number  = {6}
}


@article{YOULA,
    author  = {D. C. Youla and H. Webb},
    title   = {Image restoration by the method of convex projections: Part I --- Theory},
    journal = {IEEE Trans. Med. Imaging},
    pages   = {81--94},
    year    = {1982},
    volume  = {1}
}


@article{ZAKHOR-W-R,
    author  = {A. Zakhor and R. Weisskoff and R. Rzedzian},
    title   = {Optimal Sampling and Reconstruction of MRI Signals Resulting from Sinusoidal Gradients},
    journal = {IEEE Trans. Signal Processing},
    pages   = {2056--2065},
    year    = {1991},
    volume  = {39},
    number  = {9}
}


@book{ZYGBOOK,
    author  = {A. Zygmund},
    title   = {Trigonometric Series {I} and {II}},
    year    = {1990},
    publisher = {Cambridge University Press},
    edition = {Second}
}

