Geometric Theory of Functions of a Complex Variable
Author | : Gennadiĭ Mikhaĭlovich Goluzin |
Publisher | : American Mathematical Soc. |
Total Pages | : 690 |
Release | : 1969 |
Genre | : Functions of complex variables |
ISBN | : 9780821886557 |
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Author | : Gennadiĭ Mikhaĭlovich Goluzin |
Publisher | : American Mathematical Soc. |
Total Pages | : 690 |
Release | : 1969 |
Genre | : Functions of complex variables |
ISBN | : 9780821886557 |
Author | : Steven G. Krantz |
Publisher | : Springer Science & Business Media |
Total Pages | : 311 |
Release | : 2007-09-19 |
Genre | : Mathematics |
ISBN | : 0817644407 |
* 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
Author | : G. M. Goluzin |
Publisher | : American Mathematical Soc. |
Total Pages | : 676 |
Release | : 1969 |
Genre | : Mathematics |
ISBN | : 9780821815762 |
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.
Author | : Steven George Krantz |
Publisher | : American Mathematical Soc. |
Total Pages | : 586 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 0821827243 |
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.
Author | : Claire Chapman |
Publisher | : |
Total Pages | : |
Release | : 2018 |
Genre | : Functions of complex variables |
ISBN | : 9781684696796 |
Author | : Junjirō Noguchi |
Publisher | : American Mathematical Soc. |
Total Pages | : 292 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : 9780821845332 |
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.
Author | : Robert Clifford Gunning |
Publisher | : American Mathematical Soc. |
Total Pages | : 338 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 0821821652 |
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.
Author | : Gennadij Michailowitsch Golusin |
Publisher | : |
Total Pages | : 676 |
Release | : 1969 |
Genre | : |
ISBN | : |
Author | : G.M. Khenkin |
Publisher | : Springer Science & Business Media |
Total Pages | : 265 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 364261308X |
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