Wavelets
Calderon-Zygmund and Multilinear Operators
Published on 29. May 1997
Book
Hardback
336 pages
978-0-521-42001-3 (ISBN)
Description
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.
Reviews / Votes
'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 SocietyMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
3 Line drawings, unspecified
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 24 mm
Weight
697 gr
ISBN-13
978-0-521-42001-3 (9780521420013)
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Schweitzer Classification
Persons
Content
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 Hoelder 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.