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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| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Basel :
Springer Basel
2015.
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| Colección: | Advanced Courses in Mathematics, CRM Barcelona.
Springer eBooks. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b3291636x*spi |
Tabla de Contenidos:
- 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.
