Complex Analysis in Banach Spaces

Jorge Mujica

ISBN 10: 0486474666 / ISBN 13: 9780486474663

Published by Dover Publications, New York, 2010

About this Item

440pp. A clean sound copy. Condition near fine.

Seller Inventory # 100215504

Bibliographic Details

• Title: Complex Analysis in Banach Spaces
• Publisher: Dover Publications, New York
• Publication Date: 2010
• Language: English
• ISBN 10: 0486474666
• ISBN 13: 9780486474663
• Binding: PaperBack
• Condition: Very Good
• Seller catalogs:
  • Sciences

About this title

Synopsis

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.