Title: A course in commutative Banach algebras /
Authors: Kaniuth, Eberhard.
Publisher: Springer,
Year: 2009
Subjects: Banach algebras.; Commutative algebra.
Abstract: "Requiring only a basic knowledge of functional analysis, topology, complex analysis, measure theory and group theory, this book provides a thorough and self-contained introduction to the theory of commutative Banach algebras. The core is formed by chapters on Gelfand's theory, regularity and spectral synthesis. Special emphasis is placed on applications in abstract harmonic analysis and on treating many special classes of commutative Banach algebras, such as uniform algebras, group algebras and Beurling algebras, and tensor products. Detailed proofs and a variety of exercises are given. The book aims at graduate students and can be used as a text for courses on Banach algebras, with various possible specializations, or a course in harmonic analysis based on Gelfand theory."--Jacket.