Littlewood-Paley Theory and the Study of Function Spaces (Cbms Regional Conference Series in Mathema pdf epub mobi txt 电子书下载 2024

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Michael Frazier

Amer Mathematical Society

1991-05

132

USD 46.00

Paperback

CBMS Regional Conference Series in Mathematics

9780821807316

图书标签: scnu

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发表于2024-12-24

Littlewood-Paley Theory and the Study of Function Spaces (Cbms Regional Conference Series in Mathema epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Littlewood-Paley Theory and the Study of Function Spaces (Cbms Regional Conference Series in Mathema pdf epub mobi txt 电子书下载 2024

图书描述

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.

Littlewood-Paley Theory and the Study of Function Spaces (Cbms Regional Conference Series in Mathema 下载 mobi epub pdf txt 电子书