Wavelets: Calderon-Zygmund and Multilinear Operators

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Overview

Now in paperback, this remains one of the classic expositions of the theory of wavelets from two of the subject's leading experts. In this volume the theory of paradifferential operators and the Cauchy kernel on Lipschitz curves are discussed with the emphasis firmly on their connection with wavelet bases. Sparse matrix representations of these operators can be given in terms of wavelet bases which have important applications in image processing and numerical analysis. The 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.
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Editorial Reviews

From the Publisher
'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
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Product Details

Table of Contents

Translator's note
Preface to the English edition
Introduction
Introduction to Wavelets and Operators
The new Calderon-Zygmund operators
David and Journe's T(1) theorem
Examples of Caldron-Zygmund Operators
Operators corresponding to singular integrals: their continuity on Holder and Sobolev spaces
The T(b) theorem
Generalized Hardy spaces
Multilinear operators
Multilinear analysis of square roots of accretive operators
Potential theory in Lipschitz domains
Paradifferential operators
References and Bibliography
References and Bibliography for the English edition
Index
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