Wavelets : Caldéron-Zygmund and multilinear operators

By: Yves MeyerContributor(s): Ronald CoifmanMaterial type: TextTextSeries: Cambridge Studies in Advanced Mathematics ; 48Publication details: Cambridge, U.K.: Cambridge University Press, [c1990]Description: 314 pISBN: 9780521794732Subject(s): MathematicsLOC classification: QA403.3
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.
Summary: 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. --- summary provided by publisher
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Mathematic Rack No 6 QA403.3 (Browse shelf (Opens below)) Available Invoice no. IN00 7069 ; Date 21-02-2019 01727
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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.

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. --- summary provided by publisher

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