Littlewood Paley Theory and the Study of Functional Spaces: Regional Conference: Papers (BOK)

Littlewood Paley Theory and the Study of Functional Spaces: Regional Conference: Papers (BOK)

Guido Weiss, Michael Frazier, Bjorn Jawerth

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Littlewood-Paley theory was developed to study function spaces in harmonic analysis and partial differential equations. Recently, it has contributed to the development of the $\varphi$-transform and wavelet decompositions. Based on lectures presented at the NSF-CBMS Regional Research Conference on Harmonic Analysis and Function Spaces, held at Auburn University in July 1989, this book is aimed at mathematicians, as well as mathematically literate scientists and engineers interested in harmonic analysis or wavelets. The authors provide not only a general understanding of the area of harmonic analysis relating to Littlewood-Paley theory and atomic and wavelet decompositions, but also some motivation and background helpful in understanding the recent theory of wavelets.The book begins with some simple examples which provide an overview of the classical Littlewood-Paley theory. The $\varphi$-transform, wavelet, and smooth atomic expansions are presented as natural extensions of the classical theory. Finally, applications to harmonic analysis (Calderon-Zygmund operators), signal processing (compression), and mathematical physics (potential theory) are discussed.

Produktfakta

Språk Engelsk Engelsk Innbinding Heftet
Utgitt 1991 Forfatter Bjorn Jawerth, Guido Weiss, Michael Frazier
Forlag
Turpin DEDS Orphans
ISBN 9780821807316
Antall sider 132 Dimensjoner 15cm x 19cm x 2,2cm
Vekt 263 gram Leverandør Bertram Trading Ltd
Emner og form Calculus & mathematical analysis