Wavelets

Calderón-Zygmund and Multilinear Operators

AvYves Meyer,Ronald Coifman

Inbunden, Engelska, 1997

Del 48 i serien Cambridge Studies in Advanced Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1997-05-29
Mått:152 x 229 x 22 mm
Vikt:660 g
Format:Inbunden
Språk:Engelska
Serie:Cambridge Studies in Advanced Mathematics
Antal sidor:336
Förlag:Cambridge University Press
ISBN:9780521420013
Översättare:Salinger, David, Salinger, David (University of Leeds)

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

'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

Innehållsförteckning

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.