Complex Analysis in Banach Spaces
Holomorphic Functions and Domains of Holomorphy in Finite and Infinite Dimensions
- 1st Edition, Volume 120 - April 27, 2012
- Author: J. Mujica
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 4 - 5 5 8 1 9 - 0
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 8 7 2 3 1 - 5
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… Read more
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.
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.
- Edition: 1
- Volume: 120
- Published: April 27, 2012
- Language: English
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