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.
Table of Contents
7. The new Calderon-Zygmund operators; 8. David and Journe's T(1) theorem; 9. Examples of Calderon-Zygmund operators; 10. Operators corresponding to singular integrals: their continuity on Holder 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.
