Cover of Feng Dai, Yuan Xu, Sergey Tikhonov (EDT): Analysis on h-Harmonics and Dunkl Transforms

Feng Dai, Yuan Xu, Sergey Tikhonov (EDT) Analysis on h-Harmonics and Dunkl Transforms

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Springer Basel

2015

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978-3-0348-0887-3

3-0348-0887-9

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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.

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