Wavelets: Calderón-Zygmund and Multilinear Operators

by Yves Meyer, Ronald Coifman, David Salinger (Translator)

Overview

Now in paperback, this remains one of the classic expositions of the theory of wavelets from two of the subject's leading experts. This volume discusses the theory of paradifferential operators and the Cauchy kernel on Lipschitz curves with the emphasis firmly on their connection with wavelet bases. Sparse matrix representations of these operators can be given in terms of wavelet bases that have important applications in image processing and numerical analysis. This method is now widely studied and can be used to tackle a wide variety of problems arising in science and engineering. Put simply, this is an essential purchase for anyone researching the theory of wavelets.

Product Details

ISBN-13:	9780521420013
Publisher:	Cambridge University Press
Publication date:	05/29/1997
Series:	Cambridge Studies in Advanced Mathematics , #48
Pages:	336
Product dimensions:	5.98(w) x 9.02(h) x 0.87(d)

Table of Contents

7. The new Calderón-Zygmund operators; 8. David and Journé's T(1) theorem; 9. Examples of Calderón-Zygmund operators; 10. Operators corresponding to singular integrals: their continuity on Hölder and Sobolev spaces; 11. The T(b) theorem; 12. Generalized Hardy spaces; 13. Multilinear operators; 14. Multilinear analysis of square roots of accretive operators; 15. Potential theory in Lipshitz domains; 16. Paradifferential operators.

Editorial Reviews

'The best way of stressing the importance of this work is to say that it was conceived as the manifesto of a radical revolutionary movement, and even before its publication in English it had become a time-honoured classic.' N. H. Katz, Bulletin of the London Mathematical Society

From the Publisher