## Littlewood-Paley Theory and the Study of Function Spaces (Cbms Regional Conference Series in Mathematics)

### Bjorn Jawerth, and Guido Weiss Michael Frazier

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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.

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This monograph is an important and welcome addition to the growing literature in this area. -- Mathematical Reviews

Useful for graduate students and researchers with interest in function spaces, approximation theory or wavelet theory. --Zentralblatt für Mathematik

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## 1.Littlewood Paley Theory and the Study of Functional Spaces Papers: Regional Conference (Paperback)

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Book Description American Mathematical Society, United States, 1991. Paperback. Condition: New. Language: English . Brand New Book. 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. Seller Inventory # AAN9780821807316

US$57.95 Convert Currency Shipping: FREE From United Kingdom to U.S.A. Destination, Rates & Speeds ## 2.Littlewood Paley Theory and the Study of Functional Spaces Papers: Regional Conference (Paperback) Published by American Mathematical Society, United States (1991) ISBN 10: 0821807315 ISBN 13: 9780821807316 New Paperback Quantity Available: 1 Seller: Book Depository International (London, United Kingdom) Rating Book Description American Mathematical Society, United States, 1991. Paperback. Condition: New. Language: English . Brand New Book. Littlewood-Paley theory was developed to study function spaces in harmonic analysis and partial differential equations. Recently, it has contributed to the development of the$ 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$-transform, wavelet, and smooth atomic expansions are presented as natural extensions of the classical theory. Finally, applications to harmonic analysis (Calderon-Zygmund operators), signal processing (compression), and mathematical physics (potential theory) are discussed. Seller Inventory # AAN9780821807316 Buy New US$ 62.91
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## 4.Littlewood Paley Theory and the Study of Functional Spaces Papers: Regional Conference (CBMS Regional Conference Series in Mathematics)

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Book Description American Mathematical Society, 1991. Paperback. Condition: New. book. Seller Inventory # M0821807315