ENGLISH

Several Complex Variables I: Introduction to Complex Analysis

By A. G. Vitushkin

Book information

Publisher
Springer
Year
1990
ISBN
0387170049, 9780387170046
LCC
QA331 .K738213 1990
Open Library ID
OL2043288M
Language
english
Format
PDF
Filesize
15 MB (16114872 bytes)
Series
Encyclopaedia of Mathematical Sciences - vol 7
Volume
Volume 1
Edition
1st
Pages
126\126
Library
mexmat
Time added
2009-07-20 03:45:11

Description

The first contribution describes basic concepts, facts and problems of the modern theory of entire functions of several complex variables. The second contribution deals with analogies of basic Nevanlinna's theorems about the distribution of values in the multidimensional case and various applications. The third contribution is devoted to invariant metrics and volumes and their applications in problems of function theory of several variables. The fourth contribution touches upon various results concerning the rigidity of holomorphic mappings of complex spaces beginnning with classical Liouville's and Picard's theorems. Contribution five presents results concerning extension of holomorphic mappings to the boundaries of domains, and results about correspondence of boundaries and equivalence of domains with respect to biholomorphic mappings. Contribution six dwells on the problem of biholomorphic equivalence of manifolds in this differential geometric aspect. The last contribution reviews applications of multidimensional complex geometry in modern physical theories - supergravitation and supergauge fields. This volume will be useful to complex analysts and physicists. It is rounded off by an extensive bibliography.

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