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...
| Κύριοι συγγραφείς: | , |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Άλλοι συγγραφείς: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Basel :
Springer Basel : Imprint: Birkhäuser,
2015.
|
| Σειρά: | Advanced Courses in Mathematics - CRM Barcelona,
|
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.
