Analysis on h-Harmonics and Dunkl Transforms
Published on 21. January 2015
VIII, 118 pages
978-3-0348-0887-3 (ISBN)
Description
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.
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Feng Dai | Yuan Xu | Sergey Tikhonov
Analysis on h-Harmonics and Dunkl Transforms
Book
02/2015
Birkhäuser
€26.74
Shipment within 7-9 days
Content
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.
