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Wavelets : Tools for Science & Technology - Stephane Jaffard

Wavelets

Tools for Science & Technology

By: Stephane Jaffard, Yves Meyer, Robert D. Ryan

Hardcover | 29 July 2001 | Edition Number 2

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This long-awaited update of Meyer's Wavelets: Algorithms and Applications includes completely new chapters on four topics: wavelets and the study of turbulence, wavelets and fractals (which includes an analysis of Riemann's nondifferentiable function), data compression, and wavelets in astronomy. The chapter on data compression was the original motivation for this revised edition, and it contains up-to-date information on the interplay between wavelets and nonlinear approximation. The other chapters have been rewritten with comments, references, historical notes, and new material. Four appendices have been added: a primer on filters, key results (with proofs) about the wavelet transform, a complete discussion of a counterexample to the Marr-Mallat conjecture on zero-crossings, and a brief introduction to Holder and Besov spaces. In addition, all of the figures have been redrawn, and the references have been expanded to a comprehensive list of over 260 entries. The book includes several new results that have not appeared elsewhere.
Industry Reviews
"In many respects the book is a personal view of the field, and others would no doubt have tackled the undertaking quite differently; this actually adds to the book's interest.. I believe it is accessible to any scientifically minded reader with rudimentary knowledge of Fourier analysis; furthermore, the seasoned mathematician will find discussions of many interesting nonmathematical topics.. I recommend the book as a delightful introduction to wavelets." --Ingrid Daubechies, AT&T Bell Laboratories, Science, Vol. 262, December 3, 1993."

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