Complex Analysis in Banach Spaces :Holomorphic Functions and Domains of Holomorphy in Finite and Infinite Dimensions ( Volume 120 )

Publication subTitle :Holomorphic Functions and Domains of Holomorphy in Finite and Infinite Dimensions

Publication series :Volume 120

Author: Mujica   J.  

Publisher: Elsevier Science‎

Publication year: 1985

E-ISBN: 9780080872315

P-ISBN(Paperback): 9780444878861

P-ISBN(Hardback):  9780444878861

Subject: O174.52 integer function theory, for meromorphic function and meromorphic function On (On)

Language: ENG

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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.

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 10

Contents

pp.:  10 – 14

CHAPTER I. POLYNOMIALS

pp.:  14 – 46

CHAPTER II. HOLOMORPHIC MAPPINGS

pp.:  46 – 92

CHAPTER III. DOMAINS OF HOLOMORPHY

pp.:  92 – 112

CHAPTER IV. DIFFERENTIABLE MAPPINGS

pp.:  112 – 152

CHAPTER V. DIFFERENTIAL FORMS

pp.:  152 – 190

CHAPTER VI. POLYNOMIALLY CONVEX DOMAINS

pp.:  190 – 224

CHAPTER VII. COMMUTATIVE BANACH ALGEBRAS

pp.:  224 – 258

CHAPTER VIII. PLURISUBHARMONIC FUNCTIONS

pp.:  258 – 300

CHAPTER IX. THE ∂ EQUATION IN PSEUDOCONVEX DOMAINS

pp.:  300 – 324

CHAPTER X. THE LEVI PROBLEM

pp.:  324 – 344

CHAPTER XI. RIEMANN DOMAINS

pp.:  344 – 374

CHAPTER XII. THE LEVI PROBLEM IN RIEMANN DOMAINS

pp.:  374 – 410

CHAPTER XIII. ENVELOPES OF HOLOMORPHY

pp.:  410 – 434

BIBLIOGRAPHY

pp.:  434 – 444

INDEX

pp.:  444 – 448

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