Wavelets
Calderón-Zygmund and Multilinear Operators

A classic exposition of the theory of wavelets from two of the subject's leading experts.

Yves Meyer (Author), Ronald Coifman (Author), David Salinger (Translated by)

9780521420013, Cambridge University Press

Hardback, published 29 May 1997

336 pages, 3 b/w illus.
22.9 x 15.2 x 2.2 cm, 0.66 kg

'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

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. 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.

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.

Subject Areas: Functional analysis & transforms [PBKF], Mathematics [PB]