Complex Analysis in Banach Spaces, Volume 120

1st Edition

Holomorphic Functions and Domains of Holomorphy in Finite and Infinite Dimensions

Authors: J. Mujica
Hardcover ISBN: 9780444878861
eBook ISBN: 9780080872315
Imprint: North Holland
Published Date: 1st November 1985
Page Count: 433
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Table of Contents

Chapters: 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 &dgr; Equation in Pseudoconvex Domains. X. The Levi Problem. XI. Riemann Domains. XII. The Levi Problem in Riemann Domains. XIII. Envelopes of Holomorphy. Bibliography. Index.

Description

Problems arising from the study of holomorphic continuation and holomorphic approximation have been central in the development of complex analysis in finitely many variables, and constitute one of the most promising lines of research in infinite dimensional complex analysis. This book presents a unified view of these topics in both finite and infinite dimensions.


Details

No. of pages:
433
Language:
English
Copyright:
© North Holland 1986
Published:
Imprint:
North Holland
eBook ISBN:
9780080872315
Hardcover ISBN:
9780444878861

About the Authors

J. Mujica Author