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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:

Bibliography

[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)


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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