Shift-invariant Uniform Algebras on Groups

• Main Authors: Grigoryan, Suren A. (Author), Tonev, Thomas V. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2006.
• Series: Monografie Matematyczne, Instytut Matematyczny Polskiel Akademii Nauk (IMPAN) ; 68
• Subjects: Mathematics.; Functional analysis.; Functions of complex variables.; Operator theory.; Functional Analysis.; Functions of a Complex Variable.; Operator Theory.

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...

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.