The theory of ultraspherical multipliers /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Connett, William C. (William Carroll), 1939- (Autor), Schwartz, Alan L. (Alan Lee), 1941- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 1977.
Colección:Memoirs of the American Mathematical Society ; Volume 9, Issue 2, no. 183.
Temas:
Multipliers (Mathematical analysis)
Spherical functions.
Sobolev spaces.
Besov spaces.
Multiplicateurs (Analyse mathématique)
Fonctions sphériques.
Espaces de Sobolev.
Espaces de Besov.
Besov spaces
Sobolev spaces
Spherical functions
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Table of Contents
  • 0. Introduction
  • I. The interpolation of ""local"" spaces
  • 1. Notations and definitions
  • 2. Stability under complex interpolation
  • 3. Interpolation of multiplier theorems
  • II. Families of Banach spaces
  • 4. Taibelson spaces and spaces of Bessel potentials
  • 5. The properties of localizations of spaces of Lipschitz type
  • 6. Spaces of sequences
  • III. The theory of ultraspherical multipliers
  • 7. The ultraspherical convolution
  • 8. A Littlewood-Paley Theory for ultraspherical series
  • 9. A full range multiplier Theorem for q = 2.
  • 10. The interpolation of ultraspherical multiplier theorems
  • 11. Some of these results are best possible
  • IV. Applications to other expansions
  • 12. Multiplier theorems for Hankel transforms and spaces of radial functions
  • 13. Multipliers for spherical harmonic expansions
  • 14. Multipliers for Jacob! expansions
  • Figures
  • Table of notation
  • Bibliography.

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