Analysis on h-Harmonics and Dunkl Transforms by Feng DaiAnalysis on h-Harmonics and Dunkl Transforms by Feng Dai

Analysis on h-Harmonics and Dunkl Transforms

byFeng Dai, Yuan XuEditorSergey Tikhonov

Paperback | February 13, 2015

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This book provides an introduction to h-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and Fourier transforms, in which the usual Lebesgue measure is replaced by a reflection-invariant weighted measure. The authors' focus is on the analysis side of both h-harmonics and Dunkl transforms. Graduate students and researchers working in approximation theory, harmonic analysis, and functional analysis will benefit from this book.
Title:Analysis on h-Harmonics and Dunkl TransformsFormat:PaperbackDimensions:118 pages, 24 × 16.8 × 0.01 inPublished:February 13, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3034808860

ISBN - 13:9783034808866

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Table of Contents

Preface.- Spherical harmonics and Fourier transform.- Dunkl operators associated with reflection groups.- h-Harmonics and analysis on the sphere.- Littlewood-Paley theory and the multiplier theorem.- Sharp Jackson and sharp Marchaud inequalities.- Dunkl transform.- Multiplier theorems for the Dunkl transform.- Bibliography.