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Convolution Operators on Groups

This volume is devoted to a systematic study of the Banach algebra of the convolution operators of a locally compact group. Inspired by classical Fourier analysis we consider operators on Lp spaces, arriving at a description of these operators and Lp versions of the theorems of Wiener and Kaplansky-...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Derighetti, Antoine (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Lecture Notes of the Unione Matematica Italiana, 11
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 Elementary Results
  • 2 An Approximation Theorem for CV2(G)
  • 3 The Figa-Talamanca Herz Algebra
  • 4 The Dual of Ap(G)
  • 5 CVp(G) as a Module on Ap(G)
  • 6 The Support of a Convolution Operator
  • 7 Convolution Operators Supported by Subgroups
  • 8 CVp(G) as a Subspace of CV2(G).