Function Theory of Several Complex Variables

Function Theory of Several Complex Variables
Author: Steven George Krantz
Publisher: American Mathematical Soc.
Total Pages: 586
Release: 2001
Genre: Mathematics
ISBN: 0821827243


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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.


Function Theory of Several Complex Variables
Language: en
Pages: 586
Authors: Steven George Krantz
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: American Mathematical Soc.

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Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invari
Methods of the Theory of Functions of Many Complex Variables
Language: en
Pages: 370
Authors: Vasiliy Sergeyevich Vladimirov
Categories: Mathematics
Type: BOOK - Published: 2007-01-01 - Publisher: Courier Corporation

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This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field
Elementary Theory of Analytic Functions of One or Several Complex Variables
Language: en
Pages: 242
Authors: Henri Cartan
Categories: Mathematics
Type: BOOK - Published: 2013-04-22 - Publisher: Courier Corporation

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Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and La
Entire Functions of Several Complex Variables
Language: en
Pages: 283
Authors: Pierre Lelong
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain appl
Holomorphic Functions and Integral Representations in Several Complex Variables
Language: en
Pages: 405
Authors: R. Michael Range
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough d