ANALYSIS OF SEVERAL COMPLEX VARIABLES by Takeo Ohsawa ( 9780821820988 )

Item Details

Title:

ANALYSIS OF SEVERAL COMPLEX VARIABLES

By:

Takeo Ohsawa

Format:

Paperback

List price:

£45.95

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£44.57

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£1.38

ISBN 10:

0821820982

ISBN 13:

9780821820988

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Publisher:

AMERICAN MATHEMATICAL SOCIETY

Pub. date:

1 January, 2002

Series:

Translations of Mathematical Monographs No. 211

Pages:

144

Description:

One of the approaches to the study of functions of several complex variables is to use methods originating in real analysis. This book presents how these methods produce a variety of global existence theorems in the theory of functions (based on the characterization of holomorphic functions as weak solutions of the Cauchy-Riemann equations).

Synopsis:

One of the approaches to the study of functions of several complex variables is to use methods originating in real analysis. In this concise book, the author gives a lucid presentation of how these methods produce a variety of global existence theorems in the theory of functions (based on the characterization of holomorphic functions as weak solutions of the Cauchy-Riemann equations). Emphasis is on recent results, including an L2 extension theorem for holomorphic functions, that have brought a deeper understanding of pseudoconvexity and plurisubharmonic functions. Based on Oka's theorems and his schema for the grouping of problems, the book covers topics at the intersection of the theory of analytic functions of several variables and mathematical analysis. It is assumed that the reader has a basic knowledge of complex analysis at the undergraduate level. The book would make a fine supplementary text for a graduate-level course on complex analysis.

Illustrations:

bibliography, index

Publication:

Imprint:

American Mathematical Society

Returns:

Returnable

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L2 APPROACHES IN SEVERAL COMPLEX VARIABLES (HB)