Uniform Algebras

2. Auflage 2005
ISBN: 978-0-8218-4049-8
Verlag: American Mathematical Society

Buch, Englisch, 269 Seiten, Gewicht: 532 g

Reihe: AMS Chelsea Publishing

From the Preface:

`The functional-analytic approach to uniform algebras is inextricably interwoven with the theory of analytic functions. [T]he concepts and techniques introduced to deal with these problems [of uniform algebras], such as ``peak points' and ``parts,' provide new insights into the classical theory of approximation by analytic functions. In some cases, elegant proofs of old results are obtained by abstract methods. The new concepts also lead to new problems in classical function theory, which serve to enliven and refresh that subject. In short, the relation between functional analysis and the analytic theory is both fascinating and complex, and it serves to enrich and deepen each of the respective disciplines.' This volume includes a Bibliography, List of Special Symbols, and an Index. Each of the chapters is followed by notes and numerous exercises.

Autoren/Hrsg.

Gamelin, Theodore W.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis