Littlewood Paley Theory and the Study of Functional Spaces Papers : Regional Conference Free Download
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Format files: PDF, EPUB, TXT, DOC
The size of the: 31.23 MB
City - Country: Providence, United States
The author of the book: Michael Frazier
Edition: American Mathematical Society
Date of issue: 15 Jun 1991
Full description of the book "Littlewood Paley Theory and the Study of Functional Spaces Papers : Regional Conference":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 PDF 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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