Complex Analysis in Banach Spaces - Brossura

Mujica, Jorge

Brossura

ISBN 10: 0486474666 ISBN 13: 9780486474663

Casa editrice: Dover Pubns, 2010

Riassunto

The development of complex analysis is based on issues related to holomorphic continuation and holomorphic approximation. This volume presents a unified view of these topics in finite and infinite dimensions. A high-level tutorial in pure and applied mathematics, its prerequisites include a familiarity with the basic properties of holomorphic functions, the principles of Banach and Hilbert spaces, and the theory of Lebesgue integration.
The four-part treatment begins with an overview of the basic properties of holomorphic mappings and holomorphic domains in Banach spaces. The second section explores differentiable mappings, differentiable forms, and polynomially convex compact sets, in which the results are applied to the study of Banach and Fréchet algebras. Subsequent sections examine plurisubharmonic functions and pseudoconvex domains in Banach spaces, along with Riemann domains and envelopes of holomorphy. In addition to its value as a text for advanced graduate students of mathematics, this volume also functions as a reference for researchers and professionals.

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Contenuti

I Polynomials II Holomorphic Mappings III Domains of Holomorphy IV Differentiable Mappings V Differential Forms VI Polynomially Convex Domains VII Commutative Banach Algebras VIII Plurisubharmonic Functions IX The Equation in Pseudoconvex Domains X The Levi Problem XI Riemann Domains XII The Levi Problem in Rieman Domains XIII Envelopes of Holomorphy Bibliography Index Errata

Product Description

The development of complex analysis is based on issues related to holomorphic continuation and holomorphic approximation. This volume presents a unified view of these topics in finite and infinite dimensions. In addition to its value as a text for graduate students of mathematics, it functions as a reference for researchers and professionals. 1986 edition.

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 0486474666
• ISBN 13: 9780486474663
• Rilegatura: Copertina flessibile
• Numero di pagine: 440
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia