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๐Ÿ“

Function Theory of Several Complex Variables

โœ Scribed by Steven G. Krantz


Publisher
American Mathematical Society
Year
2001
Tongue
English
Leaves
579
Series
Applied Mathematical Sciences Chelsea Publishing
Edition
2nd ed
Category
Library

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โœฆ Synopsis


This work departs from earlier treatments of the subject by emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics, and mapping theory. While due homage is paid to the more traditional algebraic theory (sheaves, Cousin problems, etc.), the student with a background in real and complex variable theory, harmonic analysis, and differential equations will be most comfortable with this treatment.


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โœ Toshio Nishino ๐Ÿ“‚ Library ๐Ÿ“… 2001 ๐Ÿ› AMS ๐ŸŒ English

``Kiyoshi Oka, at the beginning of his research, regarded the collection of problems which he encountered in the study of domains of holomorphy as large mountains which separate today and tomorrow. Thus, he believed that there could be no essential progress in analysis without climbing over these mo

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โœ Junjiro Noguchi and Takushiro Ochiai ๐Ÿ“‚ Library ๐Ÿ“… 1990 ๐Ÿ› American Mathematical Society ๐ŸŒ English

This is an expanded English-language version of a book by the same authors that originally appeared in the Japanese. The book serves two purposes. The first is to provide a self-contained and coherent account of recent developments in geometric function theory in several complex variables, aimed at