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Wavelets

Wavelets
Calderón-Zygmund and Multilinear Operators

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: September 2000
  • availability: Available
  • format: Paperback
  • isbn: 9780521794732

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  • 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.

    • Subject currently of itense interest to mathematicians
    • From authorities in the field
    • Subject is also of great interest to engineers and physicists
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    Reviews & endorsements

    '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

    • Date Published: September 2000
    • format: Paperback
    • isbn: 9780521794732
    • length: 336 pages
    • dimensions: 229 x 152 x 19 mm
    • weight: 0.5kg
    • contains: 3 b/w illus.
    • availability: Available
  • Table of Contents

    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.

  • Authors

    Yves Meyer, Université de Paris IX (Paris-Dauphine)

    Ronald Coifman, Yale University, Connecticut

    Translator

    David Salinger, University of Leeds

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