Geometric Function Theory
Geometric Function Theory

Author: Steven G. Krantz

Publisher: Springer Science & Business Media

Published: 2007-09-19

Total Pages: 311

ISBN-13: 0817644407

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* Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research * Methodically designed with individual chapters containing a rich collection of exercises, examples, and illustrations

Geometric Theory of Functions of a Complex Variable
Geometric Theory of Functions of a Complex Variable

Author: G. M. Goluzin

Publisher: American Mathematical Soc.

Published: 1969

Total Pages: 676

ISBN-13: 9780821815762

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This book is based on lectures on geometric function theory given by the author at Leningrad State University. It studies univalent conformal mapping of simply and multiply connected domains, conformal mapping of multiply connected domains onto a disk, applications of conformal mapping to the study of interior and boundary properties of analytic functions, and general questions of a geometric nature dealing with analytic functions. The second Russian edition upon which this English translation is based differs from the first mainly in the expansion of two chapters and in the addition of a long survey of more recent developments. The book is intended for readers who are already familiar with the basics of the theory of functions of one complex variable.

Function Theory of Several Complex Variables
Function Theory of Several Complex Variables

Author: Steven George Krantz

Publisher: American Mathematical Soc.

Published: 2001

Total Pages: 586

ISBN-13: 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.

Geometric Function Theory in Several Complex Variables
Geometric Function Theory in Several Complex Variables

Author: Junjirō Noguchi

Publisher: American Mathematical Soc.

Published: 1990

Total Pages: 292

ISBN-13: 9780821845332

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An English translation of a book that first appeared in Japanese. It provides an account of recent developments in geometric function theory in several complex variables and presents fundamental descriptions of positive currents, plurisubharmonic functions and meromorphic mappings.

Analytic Functions of Several Complex Variables
Analytic Functions of Several Complex Variables

Author: Robert Clifford Gunning

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 338

ISBN-13: 0821821652

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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.

Several Complex Variables III
Several Complex Variables III

Author: G.M. Khenkin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 265

ISBN-13: 364261308X

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We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1. Second, for n> 1 there exist several different natural ways of exhausting the space