Overview

​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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9783034808866

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This well-written book gives a readable introduction to Dunkl harmonics and Dunkl transforms ... . the authors have collected a small compendium of results which will appeal to mathematicians interested in Dunkl analysis. ... The authors have done a commendable job in making this little book self-contained and quite readable. It will certainly serve as a starting point for graduate students and researchers interested in learning Dunkl harmonics and Dunkl transforms. (Sundaram Thangavelu, Mathematical Reviews, December, 2015)

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