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A Course in Commutative Banach Algebras (Graduate Texts in Mathematics, Band 246) - Softcover

Buch 65 von 180: Graduate Texts in Mathematics

Kaniuth, Eberhard

 
9781441924797: A Course in Commutative Banach Algebras (Graduate Texts in Mathematics, Band 246)
Softcover
ISBN 10: 1441924795 ISBN 13: 9781441924797
Verlag: Springer, 2010

Inhaltsangabe

This book provides a thorough and self-contained introduction to the theory of commutative Banach algebras. The author has carefully chosen the most important topics within Banach algebra theory. At the core of this text are the 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 is intended for graduate students taking a course on Banach algebras, with various possible specializations, or a Gelfand theory based course in harmonic analysis.

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Von der hinteren Coverseite

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 are 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 Gelfand theory based course in harmonic analysis.

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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
1441924795
ISBN 13 
9781441924797
Einband
Taschenbuch
Anzahl der Seiten
368
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