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Convolution Operators on Groups [electronic resource] / by Antoine Derighetti.

By: Derighetti, Antoine [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes of the Unione Matematica Italiana: 11Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: XII, 171p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642206566.Subject(s): Mathematics | Harmonic analysis | Mathematics | Abstract Harmonic AnalysisDDC classification: 515.785 Online resources: Click here to access online
Contents:
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).
In: Springer eBooksSummary: 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-Helson.
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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).

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-Helson.

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