Analysis on h-Harmonics and Dunkl Transforms

As a unique case in this Advanced Courses book series, the authors have jointly written this 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 we...

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Bibliographic Details
Main Authors: Dai, Feng, Xu, Yuan (Author)
Other Authors: Tikhonov, Sergey (Editor)
Format: eBook
Published: Basel Birkhäuser 2015, 2015
Edition:1st ed. 2015
Series:Advanced Courses in Mathematics - CRM Barcelona
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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