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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Dai, Feng (Autor), Xu, Yuan (Autor)
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Tikhonov, Sergey (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2015.
Edición:1st ed. 2015.
Colección:Advanced Courses in Mathematics - CRM Barcelona,
Temas:
Approximation theory.
Harmonic analysis.
Mathematical analysis.
Functional analysis.
Approximations and Expansions.
Abstract Harmonic Analysis.
Integral Transforms and Operational Calculus.
Functional Analysis.
Acceso en línea:Texto Completo
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.

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