Shift-invariant Uniform Algebras on Groups

Shift-invariant algebras are uniform algebras of continuous functions de?ned on compactconnectedgroups,thatareinvariantundershiftsbygroupelements. They areoutgrowths of generalized analytic functions, introduced almost ?fty yearsago by Arens and Singer, and are the central object of this book. Assoc...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Grigoryan, Suren A. (Author), Tonev, Toma V. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2006.
Edition:1st ed. 2006.
Series:Monografie Matematyczne, 68
Subjects:
Functional analysis.
Functions of complex variables.
Operator theory.
Functional Analysis.
Functions of a Complex Variable.
Operator Theory.
Online Access:Texto Completo
Table of Contents:
  • Banach algebras and uniform algebras
  • Three classical families of functions
  • Groups and semigroups
  • Shift-invariant algebras on compact groups
  • Extension of semicharacters and additive weights
  • G-disc algebras
  • Harmonicity on groups and G-discs
  • Shift-invariant algebras and inductive limit algebras on groups.

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