- [Adelson et al.,
1987]
- E. H. Adelson, E. Simoncelli, and R. Hingorani.
Orthogonal pyramid transforms for image coding.
In Visual Communications and Image Processing II, number 845 in SPIE,
pages 50-58, 1987.
- [Adolfsson et al.,
1991]
- V. Adolfsson, B. Jawerth, and R. Torres.
Singular integral equations, spaces of homogeneous type and boundary elements
in non-smooth domains.
Technical Report 1991:5, Industrial Mathematics Initiative, Department of
Mathematics, The University of South Carolina, 1991.
- [Adolfsson et al.,
1993]
- V. Adolfsson, M. Goldberg, B. Jawerth, and H. Lennerstad.
Localized Galerkin estimates for boundary integral equations on Lipschitz
domains.
SIAM J. Math. Anal., 23(5):1356-1374, 1993.
- [Adolfsson, 1990]
- V. Adolfsson.
L^2 integrability of second order derivatives for Poisson's equation in
non-smooth domains.
Technical Report 1990:10, Industrial Mathematics Initiative, Department of
Mathematics, The University of South Carolina, 1990.
- [Aharoni et al.,
1993a]
- G. Aharoni, A. Averbuch, R. Coifman, and M. Israeli.
Local cosine transform --- A method for the reduction of the blocking effect
in JPEG.
J. Math. Imag. Vision, 3:7-38, 1993.
- [Aharoni et al.,
1993b]
- G. Aharoni, A. Averbuch, R. Coifman, and M. Israeli.
Local cosine transform --- A method for the reduction of the blocking effect
in JPEG.
In A. F. Laine, editor, Mathematical Imaging: Wavelet Applications in
Signal and Image Processing, San Diego, volume 2034, pages 205-217.
SPIE -- The International Society for Optical Engineering, 1993.
- [Aldroubi, ]
- A. Aldroubi.
Portraits of frames.
Proc. Amer. Math. Soc., To appear.
- [Aldroubi and Unser, ]
- A. Aldroubi and
M. Unser.
Sampling procedures in function spaces and asymptotic equivalence with
Shannon's sampling theory.
Numer. Funct. Anal. and Optimiz., To appear.
- [Aldroubi and Unser, 1992]
- A. Aldroubi and
M. Unser.
Families of wavelet transforms in connection with Shannon's sampling theory
and the Gabor transform.
In [Chui, 1992b], pages 509-528.
- [Aldroubi and Unser, 1993]
- A. Aldroubi and
M. Unser.
Families of multiresolution and wavelet spaces with optimal properties.
Numer. Funct. Anal. and Optimiz., (14):417-446, 1993.
- [Aldroubi et al.,
]
- A. Aldroubi, M. Eden, and M. Unser.
Discrete spline filters for multiresolutions and wavelets of ell_2.
SIAM J. Math. Anal., To appear.
- [Alkemade and Vermeer,
1989]
- J. A. H. Alkemade and P. L. Vermeer.
Multiresolution and time-frequency representations of signals.
Technical Report 89-47, Faculty of Technical Mathematics and Informatics,
Delft University of Technology, 1989.
- [Alpert et al.,
1993]
- B. Alpert, G. Beylkin, R. Coifman, and V. Rokhlin.
Wavelet-like bases for the fast solution of second-kind integral equations.
SIAM J. Sci. Comp., 14(1):159-184, 1993.
- [Alpert, 1992]
- B. K. Alpert.
Wavelets and other bases for fast numerical linear algebra.
In [Chui, 1992b], pages 181-216.
- [Alpert, 1993]
- B. Alpert.
A class of bases in rm Lt for the sparse representation of integral
operators.
SIAM J. Math. Anal., 24(1):246-262, 1993.
- [Andersson et al.,
1993a]
- L. Andersson, N. Hall, B. Jawerth, and G. Peters.
Wavelets on closed subsets of the real line.
In [Schumaker and Webb, 1993], pages
1-61.
- [Andersson et al.,
1993b]
- L. Andersson, B. Jawerth, and M. Mitrea.
The Cauchy singular integral operator and Clifford wavelets.
In [Benedetto and Frazier, 1993], pages
525-546.
- [Aslaksen and Klauder, 1968]
- E. W.
Aslaksen and J. R. Klauder.
Unitary representations of the affine group.
J. Math. Phys., 9:2267-2275, 1968.
- [Auscher and Tchamitchian,
1989]
- P. Auscher and Ph. Tchamitchian.
Bases d'ondelettes sur les courbes corde-arc, noyau de Cauchy et espaces de
Hardy associés.
Rev. Mat. Iberoamericana, 5:139-170, 1989.
- [Auscher and Tchamitchian, 1991]
- P. Auscher
and Ph. Tchamitchian.
Ondelettes et conjecture de Kato.
C. R. Acad. Sci. Paris Sér. I Math., I(313):63-66, 1991.
- [Auscher and Tchamitchian, 1992]
- P. Auscher
and Ph. Tchamitchian.
Conjecture de Kato sur les ouverts de RR.
Rev. Mat. Iberoamericana, 8(2):149-199, 1992.
- [Auscher and Tchamitchian, 1993]
- P. Auscher
and Ph. Tchamitchian.
Estimates on green kernel using wavelets and applications.
In [Schumaker and Webb, 1993], pages
63-86.
- [Auscher et al.,
1992]
- P. Auscher, G. Weiss, and V. Wickerhauser.
Local sine and cosine bases of Coifman and Meyer and the construction of
smooth wavelets.
In [Chui, 1992b], pages 237-256.
- [Auscher, 1989]
- P. Auscher.
Ondelettes fractales et Applications.
PhD thesis, Université de Paris-Dauphine, 1989.
- [Auscher, 1992a]
- P. Auscher.
Toute base d'ondelettes régulières de LR est issue d'une analyse
multi-résolution régulière.
C. R. Acad. Sci. Paris Sér. I Math., I(315):1227-1230,
1992.
- [Auscher, 1992b]
- P. Auscher.
Wavelet bases for lr with rational dilation factor.
In [Ruskai et al., 1992], pages 439-452.
- [Auscher, 1992c]
- P. Auscher.
Wavelets with boundary conditions on the interval.
In [Chui, 1992b], pages 217-236.
- [Auscher, 1993a]
- P. Auscher.
Ondelettes à support compact et conditions aux limites.
J. Funct. Anal., 111(15):29-43, 1993.
- [Auscher, 1993b]
- P. Auscher.
Remarks on the local Fourier bases.
In [Benedetto and Frazier, 1993], pages
203-218.
- [Bacry et al., ]
- E. Bacry,
S. Mallat, and G. Papanicolaou.
A wavelet based space-time adaptive numerical method for partial differential
equations.
RAIRO Mathematical Modelling and Numerical Analysis, 26(7).
- [bas, 1993]
- Local spectral analysis
of turbulent flows using wavelet transforms.
In J. T. Beale et al., editor, Vortex Flown and Related Numerical
Methods. 1993.
- [Basseville et al.,
1992]
- M. Basseville, A. Benveniste, and A. S. Willsky.
Multiscale autoregressive processes, part I: Schur-Levinson
parametrizations.
IEEE Trans. Signal Process., 40(8):1915-1934, 1992.
- [Battle, 1987]
- G. Battle.
A block spin construction of ondelettes.
Comm. Math. Phys., 110:601-615, 1987.
- [Benedetto and Frazier, 1993]
- J. Benedetto and
M. Frazier, editors.
Wavelets: Mathematics and Applications.
CRC Press, Boca Raton, 1993.
- [Benedetto, 1992]
- J. J. Benedetto.
Irregular sampling and frames.
In [Chui, 1992b], pages 445-507.
- [Benveniste, 1991]
- A. Benveniste.
Multiscale signal processing: From QMF to wavelets.
In E. F. Deprettere and A.-J. van der Veen, editors, Algorithms and
Parallel VLSI Architectures Volume A: Tutorials, pages 71-96. Elsevier
Science Publishers, 1991.
- [Berger, 1989]
- M. A. Berger.
Random affine iterated function systems: Curve generation and wavelets.
SIAM Rev., 31(4):614-627, 1989.
- [Berkolaiko and Novikov, ]
- M. Berkolaiko
and I. Novikov.
On infinitely smooth almost wavelets with compact support.
Preprint.
- [Beylkin et al.,
1991]
- G. Beylkin, R. Coifman, and V. Rokhlin.
Fast wavelet transforms and numerical algorithms I.
Comm. Pure Appl. Math., 44:141-183, 1991.
- [Beylkin et al.,
1992]
- G. Beylkin, R. Coifman, and V. Rokhlin.
Wavelets in numerical analysis.
In [Ruskai et al., 1992], pages 181-210.
- [Beylkin, 1992]
- G. Beylkin.
On the representation of operators in bases of compactly supported wavelets.
SIAM J. Numer. Anal., 29(6):1716-1740, 1992.
- [Beylkin, 1993]
- G. Beylkin.
On wavelet-based algorithms for solving differential equations.
In [Benedetto and Frazier, 1993], pages
449-466.
- [Bock and Pliego, 1992]
- M. E. Bock and
G. Pliego.
Estimating functions with wavelets part II: Using a Daubechies wavelet
in nonparametric regression.
Statistical Computing and Statistical Graphics Newsletter,
3(2):27-34, November 1992.
- [Bradie et al.,
1993]
- B. Bradie, R. Coifman, and A. Grossmann.
Fast numerical computations of oscillatory integrals related to acoustic
scattering, I.
Appl. Comput. Harmon. Anal., 1(1):94-99, 1993.
- [Briggs and Henson, 1989]
- W. L. Briggs
and Van Emden Henson.
Wavelets and multigrid.
SIAM J. Sci. Comp., 31(4):614-627, 1989.
- [Butzer et al., ]
- P. L.
Butzer, A. Fischer, and K. Rückforth.
Scaling functions and wavelets with vanishing moments.
Computers and Mathematics with Applications, To appear.
- [Cai and E, 1990]
- Z. Cai and W. E.
Hierarchical method for elliptic problems using wavelets.
Preprint Courant Institute of Mathematical Sciences, New York University,
1990?
- [Cai and Wang, ]
- W. Cai and J. Wang.
Adaptive wavelet collocation methods for initial value boundary problems of
nonlinear PDE's.
Preprint, University of North Carolina at Charlotte.
- [Cavaretta et al.,
1991]
- A. Cavaretta, W. Dahmen, and C. Micchelli.
Subdivision for Computer Aided Geometric Design.
Memoirs Amer. Math. Soc., 93, 1991.
- [Chan et al., 1991]
- A. K. Chan,
C. K. Chui, J. Z. Wang, Q.Lui, and J.Zha.
Introduction to B-wavelets and applications to signal processing.
Technical Report CAT 245, Center for Approximation Theory, Department of
Mathematics, Texas A&M University, 1991.
- [Chui and Li, 1993]
- C. K. Chui and C. Li.
Non-orthogonal wavelet packets.
SIAM J. Math. Anal., 24(3):712-738, 1993.
- [Chui and Quak, 1992]
- C. Chui and
E. Quak.
Wavelets on a bounded interval.
In D. Braess and L. L. Schumaker, editors, Numerical Methods of
Approximation Theory, pages 1-24. Birkhäuser Verlag, Basel, 1992.
- [Chui and Wang, 1990]
- C. K. Chui and
J. Z. Wang.
An overview of wavelets.
Technical Report CAT 223, Center for Approximation Theory, Department of
Mathematics, Texas A&M University, 1990.
- [Chui and Wang, 1991]
- C. K. Chui and
J. Z. Wang.
A cardinal spline approach to wavelets.
Proc. Amer. Math. Soc., 113:785-793, 1991.
- [Chui and Wang, 1992a]
- C. K. Chui and J. Z.
Wang.
A general framework of compactly supported splines and wavelets.
J. Approx. Theory, 71(3):263-304, 1992.
- [Chui and Wang, 1992b]
- C. K. Chui and
J. Z. Wang.
On compactly supported spline wavelets and a duality principle.
Trans. Amer. Math. Soc., 330:903-915, 1992.
- [Chui et al., 1991]
- C. K. Chui,
J. Stöckler, and J. D. Ward.
Compactly supported box-spline wavelets.
Technical Report CAT 230, Center for Approximation Theory, Department of
Mathematics, Texas A&M University, 1991.
- [Chui, 1992a]
- C. K. Chui.
An Introduction to Wavelets.
Academic Press, San Diego, 1992.
- [Chui, 1992b]
- C. K. Chui, editor.
Wavelets: A Tutorial in Theory and Applications.
Academic Press, San Diego, 1992.
- [Ciesielski, 1973]
- Z. Ciesielski.
Constructive function theory and spline systems.
Studia Math., 52:277-302, 1973.
- [Cohen and Daubechies, 1992]
- A. Cohen
and I. Daubechies.
A stability criterion for biorthogonal wavelets bases and their related subband
coding scheme.
68(2), 1992.
- [Cohen and Daubechies,
1993a]
- A. Cohen and I. Daubechies.
Non-separable bidimensional wavelet bases.
Rev. Mat. Iberoamericana, 9(1):51-137, 1993.
- [Cohen and Daubechies, 1993b]
- A. Cohen
and I. Daubechies.
On the instability of arbitrary biorthogonal wavelet packets.
SIAM J. Math. Anal., 24(5):1340-1354, 1993.
- [Cohen and Daubechies, 1993c]
- A. Cohen
and I. Daubechies.
Orthonormal bases of compactly supported wavelets III. Better frequency
resolution.
SIAM J. Math. Anal., 24(2):520-527, 1993.
- [Cohen and Schlenker, 1993]
- A. Cohen and
J.-M. Schlenker.
Compactly supported bidimensional wavelet bases with hexagonal symmetry.
Constr. Approx., 9(2):209-236, 1993.
- [Cohen et al.,
1992]
- A. Cohen, I. Daubechies, and J. Feauveau.
Bi-orthogonal bases of compactly supported wavelets.
Comm. Pure Appl. Math., 45:485-560, 1992.
- [Cohen et al.,
1993a]
- A. Cohen, I. Daubechies, B. Jawerth, and P. Vial.
Multiresolution analysis, wavelets and fast algorithms on an interval.
C. R. Acad. Sci. Paris Sér. I Math., I(316):417-421, 1993.
- [Cohen et al.,
1993b]
- A. Cohen, I. Daubechies, and P. Vial.
Multiresolution analysis, wavelets and fast algorithms on an interval.
Appl. Comput. Harmon. Anal., 1(1):54-81, 1993.
- [Cohen, 1990]
- A. Cohen.
Ondelettes, analyses multiresolutions et filtres miroirs en quadrature.
Ann. Inst. H. Poincaré, Anal. Non Linéaire, 7(5):439-459,
1990.
- [Cohen, 1992]
- A. Cohen.
Biorthogonal wavelets.
In [Chui, 1992b], pages 123-152.
- [Coifman and Meyer, ]
- R. R. Coifman and
Y. Meyer.
Orthonormal wave packet bases.
Preprint.
- [Coifman and Meyer, 1991]
- R. Coifman and
Y. Meyer.
Remarques sur l'analyse de Fourier à fen^etre.
C. R. Acad. Sci. Paris Sér. I Math., I(312):259-261, 1991.
- [Coifman and Rochberg, 1980]
- R. R. Coifman
and R. Rochberg.
Representation theorems for holomorphic and harmonic functions in L^p.
Astérisque, 77:11-66, 1980.
- [Coifman and Wickerhauser, 1992]
- R. R.
Coifman and M. L. Wickerhauser.
Entropy based algorithms for best basis selection.
IEEE Trans. Inform. Theory, 38(2):713-718, 1992.
- [Coifman et al., ]
- R. R.
Coifman, Y. Meyer, S. Quake, and M. V. Wickerhauser.
Signal processing and compression with wave packets.
In Y. Meyer, editor, Proceedings of the International Conference on
Wavelets, Marseille, 1989. Masson, Paris.
- [Coifman et al., 1992a]
- R. R.
Coifman, Y. Meyer, and V. Wickerhauser.
Size properties of wavelet packets.
In [Ruskai et al., 1992], pages 453-470.
- [Coifman et al., 1992b]
- R. R.
Coifman, Y. Meyer, and V. Wickerhauser.
Wavelet analysis and signal processing.
In [Ruskai et al., 1992], pages 453-470.
- [Coifman, 1974]
- R. R. Coifman.
A real variable characterization of H^p.
Studia Math, 51, 1974.
- [Colella and Heil, ]
- D. Colella and
C. Heil.
Characterizations of scaling functions: I. Continuous solutions.
SIAM J. Math. Anal., To appear.
- [Colella and Heil, 1992]
- D. Colella and
C. Heil.
The characterization of continuous four-coefficient scaling functions and
wavelets.
IEEE Trans. Inform. Theory, 38(2), 1992.
- [Combes et al., 1989]
- J. M.
Combes, A. Grossmann, and Ph. Tchamitchian, editors.
Wavelets: Time-Frequency Methods and Phase Space.
Inverse problems and theoretical imaging. Springer-Verlag, 1989.
- [Dahlke and Kunoth, 1993]
- S. Dahlke and
A. Kunoth.
Biorthogonal wavelets and multigrid.
Technical Report A 21-93, Freie Universität Berlin, 1993.
To appear in: Proceedings of the 9th GAMM-Seminar ``Adaptive Methods:
Algorithms, Theory and Applications'', W.Hackbusch, G.Wittum (eds.), NNFM
series, Vieweg.
- [Dahlke and Weinreich, ]
- S. Dahlke and
I. Weinreich.
Wavelet bases adapted to pseudo-differential operators.
Appl. Comput. Harmon. Anal., To appear.
- [Dahlke and Weinreich, 1993]
- S. Dahlke
and I. Weinreich.
Wavelet-Galerkin-methods: An adapted biorthogonal wavelet basis.
Constr. Approx., 9(2):237-262, 1993.
- [Dahmen and Kunoth, 1992]
- W. Dahmen and
A. Kunoth.
Multilevel preconditioning.
Numer. Math., 63(2):315-344, 1992.
- [Dahmen and Micchelli, 1993]
- W. Dahmen
and C. A. Micchelli.
Using the refinement equation for evaluating integrals of wavelets.
SIAM J. Numer. Anal., 30(2):507-537, 1993.
- [Dahmen et al.,
1993]
- W. Dahmen, S. Prossdorf, and R. Schneider.
Wavelet approximation methods for pseudodifferential equations II:Matrix
compression and fast solution.
Adv. in Comp. Math., 1:259 -- 335, 1993.
- [Daubechies and Lagarias,
1991]
- I. Daubechies and J. C. Lagarias.
Two-scale difference equations I. Existence and global regularity of
solutions.
SIAM J. Math. Anal., 22(5):1388-1410, 1991.
- [Daubechies and Lagarias,
1992a]
- I. Daubechies and J. C. Lagarias.
Sets of matrices all infinite products of which converge.
Linear Algebra Appl., 161:227-263, 1992.
- [Daubechies and Lagarias,
1992b]
- I. Daubechies and J. C. Lagarias.
Two-scale difference equations II. Local regularity, infinite products of
matrices and fractals.
SIAM J. Math. Anal., 23(4):1031-1079, 1992.
- [Daubechies et al.,
1986]
- I. Daubechies, A. Grossmann, and Y. Meyer.
Painless nonorthogonal expansions.
J. Math. Phys., 27(5):1271-1283, 1986.
- [Daubechies et al.,
1991]
- I. Daubechies, S. Jaffard, and J.-L. Journé.
A simple Wilson orthonormal basis with exponential decay.
SIAM J. Math. Anal., 22:554-572, 1991.
- [Daubechies, 1987]
- I. Daubechies.
Discrete sets of coherent states and their use in signal analysis.
In Differential Equations and Mathematical Physiscs, number 1285 in
Lecture Notes in Math., pages 73-82. Springer-Verlag, 1987.
- [Daubechies, 1988]
- I. Daubechies.
Orthonormal bases of compactly supported wavelets.
Comm. Pure Appl. Math., 41:909-996, 1988.
- [Daubechies, 1990]
- I. Daubechies.
The wavelet transform, time-frequency localization and signal analysis.
IEEE Trans. Inform. Theory, 36(5):961-1005, 1990.
- [Daubechies, 1992]
- I. Daubechies.
Ten Lectures on Wavelets.
Number 61 in CBMS-NSF Series in Applied Mathematics. SIAM, Philadelphia,
1992.
- [Daubechies, 1993a]
- I. Daubechies.
Orthonormal bases of compactly supported wavelets II. Variations on a
theme.
SIAM J. Math. Anal., 24(2):499-519, 1993.
- [Daubechies, 1993b]
- I. Daubechies.
Two recent results on wavelets.
In [Schumaker and Webb, 1993], pages
237-258.
- [Daugman, 1988]
- J. G. Daugman.
Complete 2-D Gabor transforms by neural network for image analysis and
compression.
IEEE Trans. Acoust. Speech Signal Process., 36(7):1169-1179,
1988.
- [David, 1991]
- G. David.
Wavelets and Singular Integrals on Curves and Surfaces.
Number 1465 in Lecture Notes in Math. Springer-Verlag, 1991.
- [de Boor et al.,
1993]
- C. de Boor, R. A. DeVore, and A. Ron.
On the construction of multivariate (pre)wavelets.
Constr. Approx., 9(2):123-166, 1993.
- [Deng and Jawerth, ]
- B. Deng and B. Jawerth.
Biorthogonal wavelet packets on closed intervals.
Preprint.
- [Deng et al.,
1993]
- B. Deng, B. Jawerth, G. Peters, and W. Sweldens.
Wavelet probing for compression based segmentation.
In A. F. Laine, editor, Mathematical Imaging: Wavelet Applications in
Signal and Image Processing, pages 266-276, 1993.
- [Deng, 1993]
- B. Deng.
Biorthogonal wavelet packets.
PhD thesis, Department of Mathematics, University of South Carolina, 1993.
- [Deslauriers and Dubuc,
1987]
- G. Deslauriers and S. Dubuc.
Interpolation dyadique.
In Fractals, Dimensions non entières et applications, pages 44-55.
Masson, Paris, Paris, 1987.
- [Deslauriers and Dubuc,
1989]
- G. Deslauriers and S. Dubuc.
Symmetric iterative interpolation processes.
Constr. Approx., 5(1):49-68, 1989.
- [DeVore and Lucier, 1991]
- R. A. DeVore
and B. J. Lucier.
Wavelets.
In Acta Numerica 1, pages 1-56. Cambridge University Press, 1991.
- [DeVore et al., 1991]
- R. A.
DeVore, B. Jawerth, and B. J. Lucier.
Data compression using wavelets: Error, smoothness, and quantization.
In J. A. Storer and J. H. Reif, editors, Proceedings Data Compression
Conference, Snowbird Utah, pages 186-195. IEEE Computer Society,
1991.
- [DeVore et al., 1992a]
- R. A.
DeVore, B. Jawerth, and B. J. Lucier.
Image compression through wavelet transform coding.
IEEE Trans. Inform. Theory, 38(2):719-746, 1992.
- [DeVore et al., 1992b]
- R. A.
DeVore, B. Jawerth, and B. J. Lucier.
Surface compression.
Comput. Aided Geom. Des., 9(3):219-239, 1992.
- [DeVore et al.,
1992c]
- R. A. DeVore, B. Jawerth, and V. Popov.
Compression of wavelet decompositions.
Amer. J. Math., 114:737-785, 1992.
- [Donoho and Johnstone, 1992a]
- D. L.
Donoho and I. M. Johnstone.
Adapting to unknown smoothness by wavelet shrinkage.
Preprint Department of Statistics, Stanford University, 1992.
- [Donoho and Johnstone, 1992b]
- D. L. Donoho
and I. M. Johnstone.
Ideal spatial adaptation via wavelet shrinkage.
Preprint Department of Statistics, Stanford University, 1992.
- [Donoho and Johnstone, 1992c]
- D. L. Donoho and
I. M. Johnstone.
New minimax theorems, thresholding, and adaptation.
Preprint Department of Statistics, Stanford University, 1992.
- [Donoho, 1992]
- D. L. Donoho.
Interpolating wavelet transforms.
Preprint Department of Statistics, Stanford University, 1992.
- [Donoho, 1993a]
- D. L. Donoho.
On minimum entropy segmentation.
Preprint Department of Statistics, Stanford University, 1993.
- [Donoho, 1993b]
- D. L. Donoho.
Smooth wavelet decompositions with blocky coefficient kernels.
In [Schumaker and Webb, 1993], pages
259-308.
- [Donoho, 1993c]
- D. L. Donoho.
Unconditional bases are optimal bases for data compression and for statistical
estimation.
Appl. Comput. Harmon. Anal., 1(1):100-115, 1993.
- [Durand, ]
- S. Durand.
Convergence of cascade algorithms introduced by i. daubechies.
Preprint, Ceremade Univ. Paris Dauphine.
- [Eirola, 1992]
- T. Eirola.
Sobolev characterization of solutions of dilation equations.
SIAM J. Math. Anal., 23(4):1015-1030, 1992.
- [Fang and Séré, ]
- X. Fang and
E. Séré.
Adaptive multiple folding local trigonometric transforms and wavelet packets.
Preprint.
- [Feichtinger and Gröchenig, 1992a]
- H. G.
Feichtinger and K. Gröchenig.
Gabor wavelets and the Heisenberg group: Gabor expansions and short time
Fourier transform from the group theoretical point of view.
In [Chui, 1992b], pages 359-397.
- [Feichtinger and Gröchenig, 1992b]
- H. G.
Feichtinger and K. Gröchenig.
Irregular sampling theorems and series expansions of band-limited functions.
SIAM J. Math. Anal., 23:530-556, 1992.
- [Feichtinger and Gröchenig, 1992c]
- H. G.
Feichtinger and K. Gröchenig.
Non-orthogonal wavelet and Gabor expansions, and group representations.
In [Ruskai et al., 1992], pages 353-375.
- [Feichtinger and Gröchenig, 1993]
- H. G.
Feichtinger and K. Gröchenig.
Theory and practise of irregular sampling.
In [Benedetto and Frazier, 1993], pages
305-363.
- [Fix and Strang, 1969]
- G. Fix and
G. Strang.
Fourier analysis of the finite element method in Ritz-Galerkin theory.
Stud. Appl. Math, 48:265-273, 1969.
- [Franklin, 1928]
- P. Franklin.
A set of continuous orthogonal functions.
Math. Ann, 100:522-529, 1928.
- [Frazier and Jawerth, 1985]
- M. Frazier and
B. Jawerth.
Decomposition of Besov spaces.
Indiana Univ. Math. J., 34(4):777-799, 1985.
- [Frazier and Jawerth, 1988]
- M. Frazier and
B. Jawerth.
The phi-transform and applications to distribution spaces.
In M. Cwikel et al., editor, Function Spaces and Applications, number
1302 in Lecture Notes in Math., pages 223-246, 1988.
- [Frazier and Jawerth, 1990]
- M. Frazier
and B. Jawerth.
A discrete transform and decompositions of distribution spaces.
J. Func. Anal, 93:34-170, 1990.
- [Frazier et al.,
1991]
- M. Frazier, B. Jawerth, and G. Weiss.
Littlewood-Paley theory and the study of function spaces.
Number 79 in Regional Conference Series in Mathematics. American Mathematical
Society, Providence, 1991.
- [Geronimo and Hardin, ]
- J. S. Geronimo and
D. Hardin.
Fractal interpolation surfaces and a related 2-d multiresolution analysis.
- [Geronimo et al.,
a]
- J. Geronimo, D. Hardin, and P. R. Massopust.
Fractal functions and wavelet expansions based on several scaling functions.
J. Approx. Theory, To appear.
- [Geronimo et al.,
b]
- J. Geronimo, D. Hardin, and P. R. Massopust.
Fractal surfaces, multiresolution analyses and wavelet transforms.
To appear in proc. of the Nato Advanced Research Workshop "Shape in Picture",
7-11 september 1992.
- [Getz, 1992]
- N. Getz.
A fast periodic wavelet transform.
Technical Report UCB/ERL M92/138, Electronics Research Laboratory, University
of California, Berkeley, 1992.
- [Glowinski et al.,
1990]
- R. Glowinski, W. M. Lawton, M. Ravechol, and E. Tenenbaum.
Wavelet solution of linear and nonlinear elliptic parabolic and hyperbolic
problems in one space dimension.
In Proceedings of the 9th International Conference on Numerical Methods in
Applied Sciences and Engineering. SIAM, Philadelphia, 1990.
- [Gootman and Wickerhauser, 1991]
- E. C.
Gootman and M. V. Wickerhauser.
Elementary wavelets.
Preprint Department of Mathematics, Univerity of Georgia, ftp from
ceres.math.yale.edu, 1991.
- [Gopinath and Burrus, 1992]
- R. A. Gopinath
and C. S. Burrus.
On the moments of the scaling function.
In Proceedings of the ISCAS-92. San Diego, 1992.
- [Grossmann and Morlet, 1984]
- A. Grossmann
and J. Morlet.
Decompostion of Hardy functions into square integrable wavelets of constant
shape.
SIAM J. Math. Anal., 15(4):723-736, 1984.
- [Grossmann and Morlet,
1985]
- A. Grossmann and J. Morlet.
Decomposition of functions into wavelets of constant shape, and related
transforms.
In L. Streit, editor, Mathematics and Physics, Lectures on Recent
Results. World Scientific Publishing, Signapore, 1985.
- [Grossmann et al.,
1985]
- A. Grossmann, J. Morlet, and T. Paul.
Transforms associated to square integrable group representations I. General
results.
J. Math. Phys., 26(10):2473-2479, 1985.
- [Grossmann et al.,
1986]
- A. Grossmann, J. Morlet, and T. Paul.
Transforms associated to square integrable group representations ii. examples.
Ann. Inst. Henri Poincaré, 45:293-309, 1986.
- [Grossmann et al.,
1989]
- A. Grossmann, R. Kronland-Martinet, and J. Morlet.
Reading and understanding continuous wavelet transforms.
In [Combes et al., 1989], pages
2-20.
- [Haar, 1910]
- A. Haar.
Zur Theorie der orthogonalen Funktionen-Systeme.
Math. Ann., 69:331-371, 1910.
- [Hardin et al., 1992]
- D. P.
Hardin, B. Kessler, and P. R. Massopust.
Multiresolution analyses based on fractal functions.
J. Approx. Theory, 71(1):104-120, 1992.
- [Heijmans, 1993]
- H. Heijmans.
Discrete wavelets and multiresolution analysis.
In [Koornwinder, 1993b], pages
49-79.
- [Heil, ]
- C. Heil.
Some stability properties of wavelets and scaling functions.
Preprint Department of Mathematics, Massachusetts Institute of Technology.
- [Heil and Strang, ]
- C. Heil and G. Strang.
Continuity of the joint spectral radius: applications to wavelets.
In A. Bojanczyk and G. Cybenko, editors, Linear Algebra for Signal
Processing, IMA Vol. Math. Appl. Springer, New York.
- [Heil and Walnut, 1989]
- C. E. Heil and
D. F. Walnut.
Continuous and discrete wavelet transforms.
SIAM Rev., 31(4):628-666, 1989.
- [Hemker and Plantevin, 1993]
- P. W. Hemker
and F. Plantevin.
Wavelet bases adapted to inhomogeneous cases.
In [Koornwinder, 1993b], pages
107-128.
- [Herley and Vetterli, 1993]
- C. Herley and
M. Vetterli.
Wavelets and recursive filter banks.
41(8):2536, 1993.
IEEE Trans. Signal Process.
- [Holschneider, 1990]
- M. Holschneider.
Wavelet analysis on the circle.
J. Math. Phys., 31(1):39-44, 1990.
- [Huntsberger and Huntsberger,
1990]
- T. L. Huntsberger and B. A. Huntsberger.
Hypercube algorithm for image decomposition and analysis in the wavelet
representation.
In D. W. Walker and Q. F. Stout, editors, The Fifth Distributed Memory
Computing Conference, Charleston, pages 171-175. The University of
South Carolina, IEEE Computer Society Press, 1990.
- [Huntsberger et al.,
]
- T. Huntsberger, B. Jawerth, S. Lopresto, G. Peters, and
A. Tirumalai.
Wavelets on closed sets and image processing.
In preparation.
- [Jaffard and Laurencot, 1992]
- S. Jaffard and
Ph. Laurencot.
Orthonormal wavelets, analysis of operators, and applicatios to numerical
analysis.
In [Chui, 1992b], pages 543-601.
- [Jaffard and Meyer, 1989]
- S. Jaffard and
Y. Meyer.
Bases d'ondelettes dans des ouverts de RR^n.
J. Math. Pures Appl., 68(1):95-108, 1989.
- [Jaffard, 1992]
- S. Jaffard.
Wavelet methods for fast resolution of elliptic problems.
SIAM J. Numer. Anal., 29(4):965-986, 1992.
- [Jaffard, 1993]
- S. Jaffard.
Analyse par ondelettes d'une problème elliptique singulier.
J. Math. Pures Appl., 72(2):121-143, 1993.
- [Janssen, ]
- A. J. E. M. Janssen.
The Zak transform and sampling theorems for wavelet subspaces.
Preprint Philips Research Laboratories, Eindhoven, The Netherlands.
- [Janssen, 1988]
- A. J. E. M. Janssen.
The Zak transform: a signal transform for sampled time-continuous signals.
Philips J. Res., 43:23-69, 1988.
- [Jawerth and Peters, 1993a]
- B. Jawerth and
G. Peters.
An article on wavelets and integral operators.
Preprint, 1993.
- [Jawerth and Peters, 1993b]
- B. Jawerth
and G. Peters.
Wavelets on non smooth sets of RR^n.
Preprint, 1993.
- [Jawerth and Sweldens, 1993]
- B. Jawerth and
W. Sweldens.
Wavelet multiresolution analyses adapted for the fast solution of boundary
value ordinary differential equations.
In N. D. Melson, T. A. Manteuffel, and S. F. McCormick, editors, Sixth
Copper Mountain Conference on Multigrid Methods, pages 259-273. NASA
Conference Publication 3224, 1993.
- [Jawerth and Sweldens, To
appear]
- B. Jawerth and W. Sweldens.
An overview of wavelet based multiresolution analyses.
SIAM Rev., To appear.
- [Jawerth et al., To
appear]
- B. Jawerth, Y. Liu, and W. Sweldens.
New folding operators for image compression.
In Wavelet Applications, To appear.
- [Jawerth, 1977]
- B. Jawerth.
On Besov spaces.
Technical Report 1, Lund, 1977.
- [Jia and Micchelli, 1991]
- R.-Q. Jia
and C. A. Micchelli.
Using the refinement equations for the construction of pre-wavelets II:
Powers of two.
In P. J. Laurent, A. Le Méhauté, and L. L. Schumaker, editors,
Curves and Surfaces. Academic Press, New York, 1991.
- [Jia and Wang, 1991]
- R.-Q. Jia and J. Wang.
Orthogonality and stability associated with wavelet decomposition.
Technical report, Department of Mathematics, University of Oregon, Eugene,
1991.
- [Keinert, 1993]
- F. Keinert.
Biorthogonal wavelets for fast matrix computations.
Appl. Comput. Harmon. Anal., 1(2), 1993.
- [Kelly et al., ]
- S. Kelly,
M. Kon, and L. Raphael.
Local convergence of wavelet expansions.
J. Funct. Anal., To appear.
- [Kelly et al.,
1994]
- S. Kelly, M. Kon, and L. Raphael.
Pointwise convergence of wavelet expansions.
Bull. Amer. Math. Soc. (N.S.), 29(1), 1994.
- [Klauder and Skagerstam, 1985]
- J. R.
Klauder and B.-S. Skagerstam.
Coherent States.
World Scientific, Signapore, 1985.
- [Kon and Raphael, ]
- M. Kon and L. Raphael.
Convergence rates of multiscale and wavelet expansions.
Preprint.
- [Koornwinder, 1993a]
- T. H. Koornwinder.
In [Koornwinder, 1993b], pages 27-48.
- [Koornwinder, 1993b]
- T. H. Koornwinder,
editor.
Wavelets: an elementary treatment of theory and applications.
Number 1 in Series in Approximations and Decompositions. World Scientific,
Signapore, 1993.
- [Kumar et al.,
1992]
- A. Kumar, D. R. Fuhrman, M. Frazier, and B. Jawerth.
A new transform for time-frequency analysis.
IEEE Trans. Signal Process., 40(7):1697-1707, 1992.
- [Latto and Tenenbaum, 1990]
- A. Latto and
E. Tenenbaum.
Les ondelettes à support compact et la solution numérique de l'équation
de burgers.
C. R. Acad. Sci. Paris Sér. I Math., 311:903-909, 1990.
- [Latto et al.,
1992]
- A. Latto, H. L. Resnikoff, and E. Tenenbaum.
The evaluation of connection coefficients of compactly supported wavelets.
In Y. Maday, editor, Proceedings of the French -- USA Workshop on Wavelets
and Turbulence. Springer - Verlag, 1992.
- [Lawton et al.,
]
- W. Lawton, W. Morrell, E. Tenenbaum, and J. Weiss.
The wavelet-galerkin method for partial differential equations.
Technical report, Aware Inc.
- [Lawton, 1990]
- W. M. Lawton.
Tight frames of compacly supported affine wavelets.
J. Math. Phys., 31(8):1898-1901, 1990.
- [Lawton, 1991]
- W. M. Lawton.
Necessary and sufficient conditions for constructing orthonormal wavelets
bases.
J. Math. Phys., 32(1):57-61, 1991.
- [Lemarié, ]
- P. G. Lemarié.
Some remarks on wavelet theory and interpolation.
Preprint, Mathématiques, Paris XI, Orsay, 1991.
- [Lemarié and Meyer, 1986]
- P.-G.
Lemarié and Y. Meyer.
Ondelettes et bases hilbertiennes.
Rev. Mat. Iberoamericana, 2:1-18, 1986.
- [Lemarié-Rieusset, 1992]
- P. G.
Lemarié-Rieusset.
Analyses multi-résolutions non orthogonales, commutations entre projecteurs
et derivation et ondelettes vecteurs à divergence nulle.
Rev. Mat. Iberoamericana, 8:221-238, 1992.
- [Lemarié, 1988]
- P.-G. Lemarié.
Ondelettes a localisation exponentielle.
J. Math. Pures Appl., 67(3):227-236, 1988.
- [Lemarié, 1990]
- P.-G. Lemarié, editor.
Les Ondelettes en 1989.
Number 1438 in Lecture Notes in Math. Springer-Verlag, 1990.
- [Lewis and Knowles, 1991]
- A. S. Lewis and
G. Knowles.
A 64kb/s video codec using the 2-d wavelet transform.
In J. A. Storer and J. H. Reif, editors, Proceedings Data Compression
Conference, Showbird Utah, pages 196-201. IEEE Computer Society,
1991.
- [Lorentz and Madych, 1990]
- R. A. Lorentz and
W. R. Madych.
Spline wavelets for ordinary differential equations.
Preprint Geselschaft für Mathematik und Datenverarbeitung, St. Augustin,
Germany, 1990.
- [Maday and Ravel, 1992]
- Y. Maday and
J. C. Ravel.
Adaptivité par ondelettes: conditions aux limites et dimensions
supérieures.
C. R. Acad. Sci. Paris Sér. I Math., I(315):85-90, 1992.
- [Maday et al.,
1991]
- Y. Maday, V. Perrier, and J.-C. Ravel.
Adaptivité dynamique sur bases d'ondelettes pour l'approximation
d'équations aux dérivées partielles.
C. R. Acad. Sci. Paris Sér. I Math., I(312):405-410, 1991.
- [Madych, 1992]
- W. Madych.
Some elementary properties of multiresolution analysis of LR.
In [Chui, 1992b], pages 259-294.
- [Mallat and Hwang, 1992]
- S. Mallat and
W. L. Hwang.
Singularity detection and processing with wavelets.
IEEE Trans. Inform. Theory, (2):617-643, 1992.
- [Mallat and Zhong, 1992a]
- S. Mallat and
S. Zhong.
Characterization of signals from multiscale edges.
IEEE Trans. Patt. Anal. Mach. Intell., 14:710-732, 1992.
- [Mallat and Zhong, 1992b]
- S. Mallat and
S. Zhong.
Wavelet transform maxima and multiscale edges.
In [Ruskai et al., 1992], pages 67-104.
- [Mallat, 1989a]
- S. G. Mallat.
Multifrequency channel decompositions of images and wavelet models.
IEEE Trans. Acoust. Speech Signal Process., 37(12):2091-2110,
1989.
- [Mallat, 1989b]
- S. G. Mallat.
Multiresolution approximations and wavelet orthonormal bases of
L^2(RR).
Trans. Amer. Math. Soc., 315(1):69-87, 1989.
- [Mallat, 1989c]
- S. G. Mallat.
A theory for multiresolution signal decomposition: The wavelet representation.
IEEE Trans. Patt. Anal. Mach. Intell., 11(7):674-693, 1989.
- [Mallat, 1991]
- S. G. Mallat.
Zero crossings of a wavelet transform.
IEEE Trans. Inform. Theory, 37(4):1019-1033, 1991.
- [Malvar and Staelin, 1989]
- H. S. Malvar and
D. H. Staelin.
The LOT: Transform coding without blocking effects.
IEEE Trans. Acoust. Speech Signal Process., 37:553-559, 1989.
- [Malvar, 1990]
- H. S. Malvar.
Lapped transforms for efficient transform/subband coding.
IEEE Trans. Acoust. Speech Signal Process., 38:969-978, 1990.
- [Meyer et al.,
1987]
- Y. Meyer, S. Jaffard, and O. Rioul.
L'analyse par ondelettes.
Pour la Science, pages 28-38, September 1987.
- [Meyer, 1990]
- Y. Meyer.
Ondelettes et Opérateurs, I: Ondelettes, II: Opérateurs de
Calderón-Zygmund, III: rm (with R. Coifman), Opérateurs
multilinéaires.
Hermann, Paris, 1990.
English translation of first volume is published by Cambridge University
Press.
- [Meyer, 1991]
- Y. Meyer, editor.
Wavelets and Applications.
Number 20 in Research notes is Applied Mathematics. Springer Verlag, 1991.
- [Meyer, 1992a]
- Y. Meyer.
Ondelettes et algorithmes concurrents.
Hermann, Paris, 1992.
- [Meyer, 1992b]
- Y. Meyer.
Ondelettes sur l'intervalle.
Rev. Mat. Iberoamericana, 7:115-133, 1992.
- [Meyer, 1993]
- Y. Meyer.
Wavelets: Algorithms and Applications.
SIAM, Philadelphia, 1993.
- [Micchelli et al.,
1991]
- C. A. Micchelli, C. Rabut, and F. I. Utretas.
Using the refinement equations for the construction of pre-wavelets III:
Elliptic splines.
Numerical Algorithms, 1(1):331-352, 1991.
- [Micchelli, 1991]
- C. A. Micchelli.
Using the refinement equations for the construction of pre-wavelets.
Numerical Algorithms, 1(1):75-116, 1991.
- [Mitrea, ]
- M. Mitrea.
Singular integrals, Hardy spaces and Clifford wavelets.
Lecture Notes in Math.
To be published.
- [Naparst, 1991]
- H. Naparst.
Dense target signal processing.
IEEE Trans. Inform. Theory, 37(2):317-327, 1991.
- [Oswald, 1992]
- P. Oswald.
On discrete norm estimates related to multilevel preconditioners in the finite
element method.
In Constructive Theory of Functions, Proc. Int. Conf. Varna 1991,
pages 203-214. Bulg. Acad. Sci., Sofia, 1992.
- [Peetre, 1976]
- J. Peetre.
New Thoughts on Besov Spaces.
Duke Univ. Math. Series, Durham, NC, 1976.
- [Pollen, 1990]
- D. Pollen.
SU_I(F[z,1/z]) for F a subfield of C.
J. Amer. Math. Soc., 3(3):611-624, 1990.
- [Press, 1991]
- W. H. Press.
Wavelet transforms: a primer.
Technical Report 3184, Center for Astrophysics, Department of Physics, Harvard
University, 1991.
- [Qian and Weiss, 1993a]
- S. Qian and J. Weiss.
Wavelets and the numerical solution of boundary value problems.
Appl. Math. Lett., 6(1):47-52, 1993.
- [Qian and Weiss, 1993b]
- Z. Qian and J. Weiss.
Wavelets and the numerical solution of partial differential equations.
106:155-175, 1993.
- [Resnikoff and Burrus, 1990]
- H. L.
Resnikoff and C. S. Burrus.
Relationships between the Fourier transform and the wavelet transform.
Technical Report AD900609, Aware Inc., 1990.
- [Resnikoff, 1989]
- H. L. Resnikoff.
Foundations of arithmeticum analysis: Compactly supported wavelets and the
wavelet group.
Technical Report AD890507.1, Aware Inc., 1989.
- [Rieder, 1990]
- A. Rieder.
Approximationseigenschaften der Wavelet-Transformation.
PhD thesis, Fachbereich 3 Mathematik, Technischen Universität Berlin,
1990.
- [Riemenschneider and Shen, 1991]
- S. D.
Riemenschneider and Z. W. Shen.
Box splines, cardinal series and wavelets.
In C. K. Chui, editor, Approximation Theory and Functional Analysis.
Academic Press, New York, 1991.
- [Riemenschneider and Shen, 1992]
- S. D.
Riemenschneider and Z. Shen.
Wavelets and pre-wavelets in low dimensions.
J. Approx. Theory, 71(1):18-38, 1992.
- [Rioul and Vetterli, 1991]
- O. Rioul and
M. Vetterli.
Wavelets and signal processing.
IEEE Signal Proc. Mag., pages 14-38, October 1991.
- [Rioul, 1992]
- O. Rioul.
Simple regularity criteria for subdivision schemes.
SIAM J. Math. Anal., 23(6):1544-1576, 1992.
- [Ruskai et al., 1992]
- M. B. Ruskai,
G. Beylkin, R. Coifman, I. Daubechies, S. Mallat, Y. Meyer, and L. Raphael,
editors.
Wavelets and their Applications.
Jones and Bartlett, 1992.
- [Saito and Beylkin, ]
- N. Saito and
G. Beylkin.
Multiresolution representations using the autocorrelation functions of
compactly supported wavelets.
Preprint University of Colorado at Boulder.
- [Schröder et al.,
1993]
- P. Schröder, S. J. Gortler, M. F. Cohen, and P. Hanrahan.
Wavelet projections for radiosity.
In Fourth Eurographics Workshop on Rendering, Paris, France, 1993.
- [Schult and Wyld, 1992]
- R.L. Schult and
H.W. Wyld.
Using wavelets to solve the Burgers equation - A comparative study.
Physical Review A, 46(12):7953-7958, 1992.
- [Schumaker and Webb, 1993]
- L. L. Schumaker and
G. Webb, editors.
Recent Advances in Wavelet Analysis.
Academic Press, 1993.
- [Shen, 1993]
- Z. Shen.
Non-tensor product wavelet packets in l_2(RR^s).
Technical Report CMS #93-10, Center for Mathematical Scienes, University of
Wisconsin-Madison, 1993.
- [Shensa, 1992]
- M. J. Shensa.
Wedding the à trous and Mallat algorithms.
IEEE Trans. Signal Process., 40(10):2464-2482, 1992.
- [Simoncelli et al.,
1992]
- E. P. Simoncelli, W. T. Freeman, E. H. ade-sim hin:orthogonal,
and D. J. Heeger.
Shiftable multiscale transforms.
IEEE Trans. Inform. Theory, 38(2):587-607, 1992.
- [Stark, 1990]
- H.-G. Stark.
Multiscale analysis, wavelets and texture quality, bericht nr. 41.
Technical report, Arbeitsgruppe Technomatik, Fachbereich Mathematik,
Universität Kaiserslautern, 1990.
- [Stöckler, 1992]
- J. Stöckler.
Multivariate wavelets.
In [Chui, 1992b], pages 325-356.
- [Strang and Fix, 1973a]
- G. Strang and G. Fix.
An analysis of the finite element method.
Prentice Hall, 1973.
- [Strang and Fix, 1973b]
- G. Strang and
G. Fix.
A Fourier analysis of the finite element variational method.
In Constructive aspects of Functional Analysis. Edizione Cremonese,
Rome, 1973.
- [Strang, 1989]
- G. Strang.
Wavelets and dilation equations: A brief introduction.
SIAM Rev., 31(4):614-627, 1989.
- [Strang, 1993]
- G. Strang.
Wavelet transforms versusFourier transforms.
Bull. Amer. Math. Soc. (N.S.), 28(2):288-305, 1993.
- [Strichartz, 1993]
- R. S. Strichartz.
How to make wavelets.
Amer. Math. Monthly, 100(6):539-556, 1993.
- [Strömberg, 1981]
- J. 0. Strömberg.
A modified Franklin system and higher order spline systems on RR^n as
unconditional bases for Hardy spaces.
In Beckner et al., editor, Conference on Harmonic Analysis in Honor of
Antoni Zygmund, volume II, pages 475-494. Univ. of Chicago Press,
1981.
- [Sullivan, 1991]
- S. Sullivan.
Vector and parallel implementations of the wavelet transform.
Technical report, Center for Supercomputing Research and Development,
University of Illinois, Urbana, 1991.
- [Sweldens and Piessens, a]
- W. Sweldens and
R. Piessens.
Quadrature formulae and asymptotic error expansions for wavelet approximations
of smooth functions.
SIAM J. Numer. Anal., To appear.
- [Sweldens and Piessens, b]
- W. Sweldens and
R. Piessens.
Wavelet sampling techniques.
To appear in proceedings of the Joint Statistical Meetings, San Francisco,
August 9-12.
- [Sweldens and Piessens, 1992]
- W. Sweldens and
R. Piessens.
Calculation of the wavelet decomposition using quadrature formulae.
CWI Quarterly, 5(1):33-52, 1992.
- [Sweldens and Piessens, 1993]
- W. Sweldens and
R. Piessens.
Calculation of the wavelet decomposition using quadrature formulae.
In [Koornwinder, 1993b], pages
139-160.
- [Sweldens and Piessens, To
appear]
- W. Sweldens and R. Piessens.
Asymptotic error expansions of wavelet approximations of smooth functions II.
Numer. Math., To appear.
- [Tchamitchian, 1989]
- Ph. Tchamitchian.
Ondelettes et intégrale de Chauchy sur les courbes lipschitziennes.
Ann. Math., 129:641-649, 1989.
- [Unser and Aldroubi, 1992]
- M. Unser and
A. Aldroubi.
Polynomial splines and wavelets --- a signal processing perspective.
In [Chui, 1992b], pages 543-601.
- [Unser et al., a]
- M. Unser,
A. Aldroubi, and M. Eden.
B-Spline signal processing: Part I - Theory.
IEEE Trans. Signal Process., 41(2):821-833.
- [Unser et al., b]
- M. Unser,
A. Aldroubi, and M. Eden.
B-Spline signal processing: Part II - Efficient design and
applications.
IEEE Trans. Signal Process., 41(2):834-848.
- [Unser et al.,
1990]
- M. Unser, A. Aldroubi, and M. Eden.
A sampling theory for polynomial splines.
In International Symposium on Information Theory and its Applications,
pages 270-273, 1990.
- [Unser et al.,
1991]
- M. Unser, A. Aldroubi, and M. Eden.
Polynomial spline approximations: filter design and asymptotic equivalence with
shannon's sampling theorem.
IEEE Trans. Inform. Theory, 38:95-103, 1991.
- [Unser et al., 1992]
- M. Unser,
A. Aldroubi, and M. Eden.
On the asymptotic convergence of b-spline wavelets to Gabor functions.
IEEE Trans. Inform. Theory, 38:864-872, 1992.
- [Unser et al., 1993]
- M. Unser,
A. Aldroubi, and M. Eden.
A family of polynomial spline wavelet transforms.
Signal Process., 30:141-162, 1993.
- [Vaidyanathan, 1987]
- P. P. Vaidyanathan.
Theory and design of M-channel maximally decimated quadrature mirror filters
with arbitrary M, having perfect reconstruction property.
IEEE Trans. Acoust. Speech Signal Process., 36:476-492, 1987.
- [Verlinden and Haegemans,
1992]
- P. Verlinden and A. Haegemans.
An asymptotic expansion in wavelet analysis and its application to accurate
numerical wavelet decomposition.
Numer. Algor., 2:287-298, 1992.
- [Vermeer and Alkemade, 1990]
- P. L.
Vermeer and J. A. H. Alkemade.
Multiscale segmentation of well logs.
Technical Report 90-30, Faculty of Technical Mathematics and Infomatics, Delft
University of Technology, 1990.
- [Vermeer, 1991]
- P. L. Vermeer.
Discrete orthonormal wavelets.
Technical Report 91-45, Faculty of Technical Mathematics and Infomatics, Delft
University of Technology, 1991.
- [Vetterli and Herley, 1992]
- M. Vetterli and
C. Herley.
Wavelets and filter banks: theory and design.
IEEE Trans. Acoust. Speech Signal Process., 40(9):2207--??, 1992.
- [Vetterli, 1986]
- M. Vetterli.
Filter banks allowing perfect reconstruction.
Signal Process., 10:219-244, 1986.
- [Villemoes, a]
- L. F. Villemoes.
Continuity of quincunx wavelets.
Appl. Comput. Harmon. Anal., To appear.
- [Villemoes, b]
- L. F. Villemoes.
Wavelet analysis of refinable functions.
In P. J. Laurent, A. Le Méhauté, and L. L. Schumaker, editors,
Curves and Surfaces II. A. K. Peters, Boston.
- [Villemoes, 1992]
- L. F. Villemoes.
Energy moments in time and frequency for two-scale difference equation
solutions and wavelets.
SIAM J. Math. Anal., 23(6):1119-1543, 1992.
- [Volkmer, 1992]
- H. Volkmer.
On the regularity of wavelets.
IEEE Trans. Inform. Theory, 38:872-876, 1992.
- [Wallace, 1991]
- G. K. Wallace.
The JPEG still picture compression standard.
Comm. ACM, 34(4):30-44, 1991.
- [Walsh, 1923]
- J. L. Walsh.
A closed set of normal orthogonal functions.
Amer. J. Math, 45:5-24, 1923.
- [Walter, 1992a]
- G. G. Walter.
Approximation of the delta function by wavelets.
J. Approx. Theory, 71(3):329-343, 1992.
- [Walter, 1992b]
- G. G. Walter.
Discrete discrete wavelets.
SIAM J. Math. Anal., 23(4):1004-1014, 1992.
- [Walter, 1992c]
- G. G. Walter.
Nonuniform sampling of bandlimited functions of polynomial growth.
SIAM J. Math. Anal., 23(4):995-1003, 1992.
- [Walter, 1992d]
- G. G. Walter.
A sampling theorem for wavelet subspaces.
IEEE Trans. Inform. Theory, 38:881-884, 1992.
- [Weiss, ]
- J. Weiss.
The comparison of wavelet galerkin and dealiased-spectral methods.
Technical report, Aware Inc.
- [Weiss, 1992]
- J. Weiss.
Wavelets and the study of two-dimensional turbulence.
In Y. Maday, editor, Proceedings of the French -- USA Workshop on Wavelets
and Turbulence. Springer - Verlag, 1992.
- [Wickerhauser, 1991a]
- M. V. Wickerhauser.
Lectures on wavelet packets algorithms.
1991.
- [Wickerhauser, 1991b]
- M. V. Wickerhauser.
Nonstandard matrix multiplication.
Preprint Department of Mathematics, Yale Univerity, ftp from
ceres.math.yale.edu, 1991.
- [Wickerhauser, 1992]
- M. V. Wickerhauser.
Acoustic signal compression with wavelet packets.
In [Chui, 1992b], pages 679-700.
- [Wilson, ]
- K. G. Wilson.
Generalized wannier functions.
preprint, Cornell University.
- [Woods and O'Neil, 1986]
- J. W. Woods and
S. D. O'Neil.
Subband coding of images.
IEEE Trans. Acoust. Speech Signal Process., 34(5):1278-1288,
1986.
- [Xu and Shann, 1992]
- J.-C. Xu and W.-C.
Shann.
Galerkin-wavelet methods for two-point boundary value problems.
Numer. Math., 63(1):123-142, 1992.
- [Zak, 1967]
- J. Zak.
Finite translations in solid state physics.
Phys. Rev. Lett., 19:1385-1397, 1967.
- [Zettler et al.,
1990]
- W. Zettler, J. Huffman, and D. C. P. Linden.
Applications of compactly supported wavelets to image compression.
Technical Report AD 900119, Aware Inc., 1990.
- [zzz, 1991a]
- Aware Wavelet
Transform Processor, 1991.
- [zzz, 1991b]
- The UltraWave Explorer User's
Manual, 1991.