Complex Analysis in Banach Spaces

Holomorphic Functions and Domains of Holomorphy in Finite and Infinite Dimensions


  • J. Mujica

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.
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Book information

  • Published: November 1985
  • Imprint: NORTH-HOLLAND
  • ISBN: 978-0-444-87886-1

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.