Feng Dai, Yuan Xu, Sergey Tikhonov, "Analysis on h-Harmonics and Dunkl Transforms"
English | 2015 | pages: 124 | ISBN: 3034808860 | PDF | 1,1 mb
English | 2015 | pages: 124 | ISBN: 3034808860 | PDF | 1,1 mb
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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