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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Book Review

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Book Information

Author(s): 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(s): 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


References:

[1]
Ph. Bendjoya, E. Slezak, and Cl. Froeschl\'e, The wavelet transform\/\RM : a new tool for asteroid family determination, Astronomy and Astrophysics \textbf{251} (1991), 312--330. MR
[2]
P. Burt and E. Adelson, The Laplacian pyramid as a compact image code, IEEE Trans. Comm. \textbf{31} (1983), 482--540. MR
[3]
A. Cavaretta, W. Dahmen, and Ch. Michelli, \emph{Stationary subdivision}, Amer. Math. Soc., Providence, RI, 1991. MR
[4]
C. K. Chui, An introduction to wavelets, Academic Press, New York, 1992. MR 1150048
[5]
C. K. Chui (ed.), Wavelets\,\RM : a tutorial in theory and applications, Academic Press, New York, 1992. MR 1161244
[6]
J. M. Combes, A. Grossman, and Ph. Tchamitchian, Wavelets, time-frequency localization and phase space, \RM {2nd edition, IPTI}, Springer-Verlag, Berlin, 1990. MR 1088024
[7]
I. Daubechies, Ten lectures on wavelets, SIAM, Philadelphia, PA, 1992. MR 1162107
[8]
I. Daubechies, S. Mallat, and A. Willsky (eds.), Special issue on wavelet transforms and multiresolution signal analysis, IEEE Trans. Inform. Theory \textbf{38} (1992). MR
[9]
D. Donoho and I. Johnstone, Minimax estimation via wavelet shrinkage, Dept. of Statistics, Stanford Univ., preprint 1992. MR 1635414
[10]
M. Frazier, B. Jawerth, and G. Weiss, \emph{Littlewood-Paley theory and the study of functional spaces}, Amer. Math. Soc., Providence, RI, 1991. MR 1107300
[11]
P. G. Lemari\'e, \emph{Existence de \RM {``}fonction p\`ere\RM {"} pour les ondelettes \`a support compact}, Gauthier-Villars, Paris, 1992 pp.~17--19. MR
[12]
P. G. Lemari\'e, \emph{Les ondelettes en \RM {1989}}, Springer-Verlag, Berlin. MR
[13]
Y. Meyer, Les ondelettes, algorithmes et applications, Armand Colin, 1992 (an English translation will be published by SIAM). MR
[14]
Y. Meyer, Ondelettes et op\'erateurs. \RM {vol. I, II}, et \RM {III}, Hermann, Paris, 1990. Vol. I English translation is published by Cambridge Univ. Press. MR 1085487
[15]
Y. Meyer (ed.), Wavelets and applications, \RM {Res. Notes Appl. Math., vol. 20}, Masson and Springer-Verlag, Paris, 1991. MR 1276521
[16]
M. B. Ruskai, Wavelets and their applications, Jones and Bartlett, 1992. MR 1187335


Additional Information:

Reviewer(s):
Yves Meyer

Review Information:
Journal: Bull. Amer. Math. Soc. 28 (1993), 350-360.
DOI: 10.1090/S0273-0979-1993-00363-X
PII: S 0273-0979(1993)00363-X


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