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|Posted: Mon Jul 13, 1992 9:01 pm
Subject: Book Announcement
Ten Lectures on Wavelets
CBMS-NSF Regional Conference Series in Applied Mathematics 61
Wavelets are a mathematical development that may revolutionize
the world of information storage and retrieval according to many
experts. They are a fairly simple mathematical tool now being
applied to the compression of data--such as fingerprints, weather
satellite photographs, and medical x-rays--that were previously
thought to be impossible to condense without losing crucial
The author has worked on several aspects of the wavelet transform
and has developed a collection of wavelets that are remarkably
efficient. This monograph contains 10 lectures presented by Dr.
Daubechies as the principal speaker at the 1990 CBMS-NSF
Conference on Wavelets and Applications.
Although it is only in the past 10 years that interest in
wavelets has experienced explosive growth, they are the result
of a synthesis of ideas that originated during the last 20 or 30
years in fields ranging from engineering to pure mathematics.
Because of their interdisciplinary origins, wavelets appeal to
scientists and engineers of many different backgrounds.
Introduction; Preliminaries and Notation; The What, Why, and How
of Wavelets; The Continuous Wavelet Transform; Discrete Wavelet
Transforms: Frames; Time-Frequency Density and Orthonormal Bases;
Orthonormal Bases of Wavelets and Multiresolutional Analysis;
Orthonormal Bases of Compactly Supported Wavelets; More About the
Regularity of Compactly Supported Wavelets; Symmetry for
Compactly Supported Wavelet Bases; Characterization of Functional
Spaces by Means of Wavelets; Generalizations and Tricks for
Orthonormal Wavelet Bases; References; Indexes.
- Only comprehensive book in English on this subject.
- Ideal for mapping out a graduate course or a seminar on the
- Includes an extensive bibliography.
Mathematicians or other scientists and engineers interested in
the applications (in signal analysis, time-frequency methods,
numerical analysis, etc.) of wavelets will benefit most from this
book. A background in Fourier analysis and some real analysis is
suggested. This volume is also appropriate for graduate or
advanced undergraduate courses on wavelets.
About the Author
Ingrid Daubechies is a member of the technical staff at AT&T Bell
Laboratories while on leave from her tenured position in the
theoretical physics department at the Free University, Brussels.
She is a full professor in the mathematics department at Rutgers
University. She is a frequent lecturer and has published 46
1992 / xix + 357 pages / Softcover / ISBN 0-89871-274-2
For additional information please contact SIAM Customer Service
Department, 3600 University City Science Center, Philadelphia, PA
19104-2688; 215-382-9800; fax: 215-386-7999; e-mail:
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