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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF

Book Information

Author: David F. Walnut
Title: An introduction to wavelet analysis
Additional book information Applied and Numerical Harmonic Analysis, Birkhäuser, Boston--Basel--Berlin, 2002, xx+449 pp., ISBN 0-8176-3962-4, $69.95


References [Enhancements On Off] (What's this?)

  • 1. J.J. Benedetto, Ten books on wavelets, SIAM Rev. 42 (2000), 127-138.
  • 2. M. Berry, Making light of mathematics, Bull. Amer. Math. Soc. (N.S.) 40 (2003), 229-237.
  • 3. O. Bratteli and P.E.T. Jorgensen, Wavelets through a Looking Glass: The World of the Spectrum, Applied and Numerical Harmonic Analysis, Birkhäuser, Boston, 2002.
  • 4. 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)
  • 5. D. Esteban and C. Galand, Application of quadrature mirror filters to split band voice coding systems, IEEE International Conference on Acoustics, Speech, and Signal Processing (Washington, DC, May 1977), Institute of Electrical and Electronics Engineers, Piscataway, NJ, 1977, pp. 191-195.
  • 6. A. Haar, Zur Theorie der orthogonalen Funktionensysteme, Math. Ann. 69 (1910), 331-371.
  • 7. Stéphane Mallat, A wavelet tour of signal processing, Academic Press, Inc., San Diego, CA, 1998. MR 1614527 (99m:94012)
  • 8. D. Marr, Vision: A Computational Investigation into the Human Representation and Processing of Visual Information, W.H. Freeman, San Francisco, 1982.
  • 9. Yves Meyer, Wavelets, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1993. Algorithms & applications; Translated from the French and with a foreword by Robert D. Ryan. MR 1219953 (95f:94005)
  • 10. Gilbert Strang and Truong Nguyen, Wavelets and filter banks, Wellesley-Cambridge Press, Wellesley, MA, 1996. MR 1411910 (98b:94003)


Review Information

Reviewer: Palle E. T. Jorgensen
Affiliation: University of Iowa
Email: jorgen@math.uiowa.edu
Journal: Bull. Amer. Math. Soc. 40 (2003), 421-427
PII: S 0273-0979(03)00986-8
Published electronically: April 17, 2003
Additional Notes: We are pleased to thank Brian Treadway for excellent typsetting, and helpful suggestions.
Work supported in part by the U.S. National Science Foundation under grants DMS-9987777 and DMS-0139473(FRG)
Review copyright: © Copyright 2003 American Mathematical Society