Several Complex Variables III: Geometric
โ G. M. Khenkin
๐ Library
๐
1989
๐ Springer
๐ English
โฆ LIBER โฆ
๐
Geometric Function Theory in Several Complex Variables
โ Scribed by Junjiro Noguchi and Takushiro Ochiai
- Publisher
- American Mathematical Society
- Year
- 1990
- Tongue
- English
- Leaves
- 298
- Series
- Translations of Mathematical Monographs, v.80
- Category
- Library
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โฆ Synopsis
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 those who have already mastered the basics of complex function theory and the elementary theory of differential and complex manifolds. The second goal is to present, in a self-contained way, fundamental descriptions of the theory of positive currents, plurisubharmonic functions, and meromorphic mappings, which are today indispensable in the analytic and geometric theories of complex functions of several variables. The book should prove useful for researchers and graduate students alike.
๐ SIMILAR VOLUMES
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โ Toshio Nishino
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2001
๐ AMS
๐ 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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โ Sheng Gong, Carl H. FitzGerald
๐ Library
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2004
๐ World Scientific Publishing Company
๐ English
The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observat
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โ Steven G. Krantz
๐ Library
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2001
๐ Wadsworth & Brooks/Cole Advanced Books & Software
๐ English
Function Theory of Several Complex Varia
โ Steven G. Krantz
๐ Library
๐
2001
๐ American Mathematical Society
๐ English
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.
Several Complex Variables II: Function T
โ L. A. Aizenberg, A. K. Tsikh, A. P. Yuzhakov (auth.), G. M. Khenkin, A. G. Vitus
๐ Library
๐
1994
๐ Springer-Verlag Berlin Heidelberg
๐ English
<p>Plurisubharmonic functions playa major role in the theory of functions of several complex variables. The extensiveness of plurisubharmonic functions, the simplicity of their definition together with the richness of their properties and. most importantly, their close connection with holomorphic fu