Book Review
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MathSciNet review:
1568025
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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.
Alfred S. Cavaretta, Wolfgang Dahmen, and Charles A. Micchelli, Stationary subdivision, Mem. Amer. Math. Soc. 93 (1991), no. 453, vi+186. MR 1079033, DOI 10.1090/memo/0453
Charles K. Chui, An introduction to wavelets, Wavelet Analysis and its Applications, vol. 1, Academic Press, Inc., Boston, MA, 1992. MR 1150048
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, DOI 10.1016/B978-0-12-174590-5.50029-0
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, DOI 10.1007/978-3-642-75988-8
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, DOI 10.1137/1.9781611970104
[8] I. Daubechies, S. Mallat, and A. Willsky (eds.), Special issue on wavelet transforms and multiresolution signal analysis, IEEE Trans. Inform. Theory 38 (1992).
David L. Donoho and Iain M. Johnstone, Minimax estimation via wavelet shrinkage, Ann. Statist. 26 (1998), no. 3, 879–921. MR 1635414, DOI 10.1214/aos/1024691081
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; by the American Mathematical Society, Providence, RI, 1991. MR 1107300, DOI 10.1090/cbms/079
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
[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).
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, DOI 10.1007/BFb0083512
Y. Meyer (ed.), Wavelets and applications, RMA: Research Notes in Applied Mathematics, vol. 20, Masson, Paris; Springer-Verlag, Berlin, 1992. MR 1276521
Mary Beth Ruskai and Gregory Beylkin (eds.), Wavelets and their applications, Jones and Bartlett Publishers, Boston, MA, 1992. MR 1187335
- [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:
https://doi.org/10.1090/S0273-0979-1993-00363-X
