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

By:

Derighetti, Antoine [author.]

Contributor(s):

SpringerLink (Online service)

Series: Lecture Notes of the Unione Matematica Italiana ; 11Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: XII, 171p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783642206566

Subject(s):

Genre/Form:

Electronic books.

Additional physical formats: Printed edition:: No titleDDC classification:

515.785 23

LOC classification:

QA403-403.3

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.

Item type:

eBooks

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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.