ENGLISH

Theory of Complex Homogeneous Bounded Domains

By Yichao Xu (auth.)

Book information

Publisher
Springer Netherlands
Year
2005
ISBN
9781402021329, 1-4020-2132-1, 7030123352, 9787030123350, 140202133X, 9781402021336
DOI
10.1007/1-4020-2133-X
Open Library ID
OL8371060M
Language
english
Format
PDF
Filesize
14 MB (15022467 bytes)
Series
Mathematics and Its Applications 569
Edition
1
Pages
428\438
Library
mexmat
Time added
2009-07-20 03:45:11
Analysis; Non-associative Rings and Algebras; TopoLie Groups; Global Analysis and Analysis on Manifo

Description

Theory of Complex Homogeneous Bounded Domains studies the classification and function theory of complex homogeneous bounded domains systematically for the first time. In the book, the Siegel domains are discussed in detail. Proofs are given for 1: every homogeneous bounded domain is holomorphically isomorphic to a homogeneous Siegel domain, and 2: every homogeneous Siegel domain is affine isomorphic to a normal Siegel domain. Using the normal Siegel domains to realize the homogeneous bounded domains, we can obtain more property of the geometry and the function theory on homogeneous bounded domains.

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