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Book Review
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Book Information
Author:
Charles K. Chui
Title:
An introduction to wavelets
Additional book information
Academic Press, New York 1992, x + 264 pp., US$49.95. ISBN 0-12-174584-8.
Author:
Ingrid Daubechies
Title:
Ten lectures on wavelets
Additional book information
CBMS-NSF Regional Conference Series in Applied Mathematics, SIAM, 1992, 357 pp., ISBN 0-89871-274-2.
- [1]
Ph. Bendjoya, E. Slezak, and Cl. Froeschlé, The wavelet transform: a new tool for asteroid family determination, Astronomy and Astrophysics 251 (1991), 312-330.
- [2]
P. Burt and E. Adelson, The Laplacian pyramid as a compact image code, IEEE Trans. Comm. 31 (1983), 482-540.
- [3]
Alfred
S. Cavaretta, Wolfgang
Dahmen, and Charles
A. Micchelli, Stationary subdivision, Mem. Amer. Math. Soc.
93 (1991), no. 453, vi+186. MR 1079033
(92h:65017)
- [4]
Charles
K. Chui, An introduction to wavelets, Wavelet Analysis and its
Applications, vol. 1, Academic Press Inc., Boston, MA, 1992. MR 1150048
(93f:42055)
- [5]
Charles
K. Chui (ed.), Wavelets, Wavelet Analysis and its
Applications, vol. 2, Academic Press Inc., Boston, MA, 1992. A
tutorial in theory and applications. MR 1161244
(92k:42001)
- [6]
A.
Grossmann and Ph.
Tchamitchian (eds.), Wavelets, 2nd ed., Inverse Problems and
Theoretical Imaging, Springer-Verlag, Berlin, 1990. Time-frequency methods
and phase space. MR 1088024
(91h:42026)
- [7]
Ingrid
Daubechies, Ten lectures on wavelets, CBMS-NSF Regional
Conference Series in Applied Mathematics, vol. 61, Society for
Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1992. MR 1162107
(93e:42045)
- [8]
I. Daubechies, S. Mallat, and A. Willsky (eds.), Special issue on wavelet transforms and multiresolution signal analysis, IEEE Trans. Inform. Theory 38 (1992).
- [9]
David
L. Donoho and Iain
M. Johnstone, Minimax estimation via wavelet shrinkage, Ann.
Statist. 26 (1998), no. 3, 879–921. MR 1635414
(99i:62086), http://dx.doi.org/10.1214/aos/1024691081
- [10]
Michael
Frazier, Björn
Jawerth, and Guido
Weiss, Littlewood-Paley theory and the study of function
spaces, CBMS Regional Conference Series in Mathematics, vol. 79,
Published for the Conference Board of the Mathematical Sciences,
Washington, DC, 1991. MR 1107300
(92m:42021)
- [11]
Pierre-Gilles
Lemarié-Rieusset, Existence de
“fonction-père” pour les ondelettes à support
compact, C. R. Acad. Sci. Paris Sér. I Math.
314 (1992), no. 1, 17–19 (French, with English
summary). MR
1149631 (93c:42033)
- [12]
P. G. Lemarié, Les ondelettes en 1989, Lecture Notes in Math., vol. 1438, Springer-Verlag, Berlin.
- [13]
Y. Meyer, Les ondelettes, algorithmes et applications, Armand Colin, 1992 (an English translation will be published by SIAM).
- [14]
Yves
Meyer, Ondelettes, filtres miroirs en quadrature et traitement
numérique de l’image, Les ondelettes en 1989 (Orsay,
1989) Lecture Notes in Math., vol. 1438, Springer, Berlin, 1990,
pp. 14–25, 196–197 (French, with English summary). MR
1083580, http://dx.doi.org/10.1007/BFb0083512
- [15]
Y.
Meyer (ed.), Wavelets and applications, RMA: Research Notes in
Applied Mathematics, vol. 20, Masson, Paris, 1992. MR 1276521
(94m:42004)
- [16]
Mary
Beth Ruskai and Gregory
Beylkin (eds.), Wavelets and their applications, Jones and
Bartlett Publishers, Boston, MA, 1992. MR 1187335
(93e:00031)
- [1]
- Ph. Bendjoya, E. Slezak, and Cl. Froeschlé, The wavelet transform: a new tool for asteroid family determination, Astronomy and Astrophysics 251 (1991), 312-330.
- [2]
- P. Burt and E. Adelson, The Laplacian pyramid as a compact image code, IEEE Trans. Comm. 31 (1983), 482-540.
- [3]
- A. Cavaretta, W. Dahmen, and Ch. Michelli, Stationary subdivision, Mem. Amer. Math. Soc., no. 453, Amer. Math. Soc., Providence, RI, 1991. MR 1079033 (92h:65017)
- [4]
- C. K. Chui, An introduction to wavelets, Academic Press, New York, 1992. MR 1150048 (93f:42055)
- [5]
- C. K. Chui (ed.), Wavelets: a tutorial in theory and applications, Academic Press, New York, 1992. MR 1161244 (92k:42001)
- [6]
- J. M. Combes, A. Grossman, and Ph. Tchamitchian, Wavelets, time-frequency localization and phase space, 2nd edition, IPTI, Springer-Verlag, Berlin, 1990. MR 1088024 (91h:42026)
- [7]
- I. Daubechies, Ten lectures on wavelets, SIAM, Philadelphia, PA, 1992. MR 1162107 (93e:42045)
- [8]
- I. Daubechies, S. Mallat, and A. Willsky (eds.), Special issue on wavelet transforms and multiresolution signal analysis, IEEE Trans. Inform. Theory 38 (1992).
- [9]
- D. Donoho and I. Johnstone, Minimax estimation via wavelet shrinkage, Dept. of Statistics, Stanford Univ., preprint 1992. MR 1635414 (99i:62086)
- [10]
- M. Frazier, B. Jawerth, and G. Weiss, Littlewood-Paley theory and the study of functional spaces, CBMS-Regional Conf. Ser., vol. 79, Amer. Math. Soc., Providence, RI, 1991. MR 1107300 (92m:42021)
- [11]
- P. G. Lemarié, Existence de "fonction père" pour les ondelettes à support compact, C. R. Acad. Sci. Paris Sér. I Math., vol. 314, Gauthier-Villars, Paris, 1992, pp. 17-19. MR 1149631 (93c:42033)
- [12]
- P. G. Lemarié, Les ondelettes en 1989, Lecture Notes in Math., vol. 1438, Springer-Verlag, Berlin.
- [13]
- Y. Meyer, Les ondelettes, algorithmes et applications, Armand Colin, 1992 (an English translation will be published by SIAM).
- [14]
- Y. Meyer, Ondelettes et opérateurs. vol. I, II, et III, Hermann, Paris, 1990. Vol. I English translation is published by Cambridge Univ. Press. MR 1083580
- [15]
- Y. Meyer (ed.), Wavelets and applications, Res. Notes Appl. Math., vol. 20, Masson and Springer-Verlag, Paris, 1991. MR 1276521 (94m:42004)
- [16]
- M. B. Ruskai, Wavelets and their applications, Jones and Bartlett, 1992. MR 1187335 (93e:00031)
Review Information
Reviewer:
Yves Meyer
Journal:
Bull. Amer. Math. Soc. 28 (1993), 350-360
DOI:
http://dx.doi.org/10.1090/S0273-0979-1993-00363-X
PII:
S 0273-0979(1993)00363-X
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