Convolution Operators on Groups

2011
ISBN: 978-3-642-20655-9
Verlag: Springer

Buch, Englisch, Band 11, 171 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 295 g

Reihe: Lecture Notes of the Unione Matematica Italiana

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.

Zielgruppe

Research

Autoren/Hrsg.

Derighetti, Antoine

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Inhaltsverzeichnis

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).