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...
Main Authors: | , |
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Other Authors: | |
Format: | eBook |
Language: | English |
Published: |
Basel
Birkhäuser
2015, 2015
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Edition: | 1st ed. 2015 |
Series: | Advanced Courses in Mathematics - CRM Barcelona
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Subjects: | |
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