Theory of Complex Homogeneous Bounded Domains / Edition 1

Theory of Complex Homogeneous Bounded Domains / Edition 1

by Yichao Xu
     
 

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

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Overview

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

Product Details

ISBN-13:
9781402021329
Publisher:
Springer Netherlands
Publication date:
04/03/2008
Series:
Mathematics and Its Applications (closed) Series, #569
Edition description:
2005
Pages:
428
Product dimensions:
9.21(w) x 6.14(h) x 1.00(d)

Table of Contents

1. Siegel Domains and sub chapters, 2. Homogeneous Siegel Domains and sub chapters, 3. Normal Siegel Domains and sub chapters, 4. Other Realizations and sub chapters, 5. Automorphism Group and sub chapters, 6. Classification of Square Domains and sub chapters , 7. Symmetric Bounded Domains and sub chapters , 8. Szegö Kernel and Poisson Kernel and sub chapters, 9. Homogeneous Bounded Domains and sub chapters, References, Index

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