Function Theory Of Several Complex Variables

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Function Theory of Several Complex Variables

Author: Steven George Krantz
language: en
Publisher: American Mathematical Soc.
Release Date: 2001
Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.
Elementary Theory of Analytic Functions of One or Several Complex Variables

Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Analytic Functions of Several Complex Variables

Author: Robert Clifford Gunning
language: en
Publisher: American Mathematical Soc.
Release Date: 2009
The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. This title intends to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces.