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＜E-Book＞
Convolution Operators on Groups / by Antoine Derighetti
(Lecture Notes of the Unione Matematica Italiana. ISSN:18629121 ; 11)

Edition	1st ed. 2011.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2011
Language	English
Size	XII, 171 p : online resource
Authors	*Derighetti, Antoine author SpringerLink (Online service)
Subjects	LCSH:Harmonic analysis FREE:Abstract Harmonic Analysis
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-642-20656-6

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