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

Michael Frazier, Björn Jawerth: University of South Carolina, Columbia, SC,Guido Weiss: Washington University, St. Louis, MO

出版者:Amer Mathematical Society

作者:Michael Frazier

页数:132

出版时间:1991-05

价格:USD 46.00

装帧:Paperback

isbn号码:9780821807316

丛书系列:CBMS Regional Conference Series in Mathematics

图书标签:scnu

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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 φ-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 φ-transform, wavelet, and smooth atomic expansions are presented as natural extensions of the classical theory. Finally, applications to harmonic analysis (Calderón-Zygmund operators), signal processing (compression), and mathematical physics (potential theory) are discussed.