Holomorphic Functions and Integral Representations in Several Complex Variables

ISBN-10: 038796259X

ISBN-13: 9780387962597

Edition: 1986

Authors: R. Michael Range

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Description:

This is an introductory text in several complex variables, using methods of integral representations. It begins with elementary local results, discusses basic new concepts of the multi-dimensional theory such as pseudoconvexity and holomorphic convexity, and leads up to complete proofs of fundamental global results, both classical and new. The use of integral representation techniques makes it possible to treat the subject with a minimum of prerequisites, and it has the further advantage that it uses the multivariable forms of theorem with which the students are already acquainted. This book also provides a systematic introduction to integral representation methods and their applications, including a simplified proof of C. Fefferman's famous mapping theorem.
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Book details

List price: $99.00
Copyright year: 1986
Publisher: Springer
Publication date: 6/26/1998
Binding: Hardcover
Pages: 392
Size: 6.50" wide x 9.75" long x 1.00" tall
Weight: 1.628
Language: English

Elementary Local Properties of Holomorphic Functions
Domains of Holomorphy and Pseudoconvexity
Differential Forms and Hermitian Geometry
Integral Representations in C^n
The Levi Problem and the Solution of __ on Strictly Pseudoconvex Domains
Function Theory on Domains of Holomorphy in C^n
Topics in Function Theory on Strictly Pseudoconvex Domains
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