Theory of Complex Homogeneous Bounded Domains

Author: Yichao Xu
Publisher:
Publish Date: 2006-07-01
Features: The Theory of Complex Homogeneous Bounded Domains systematically studies the classification and function theory of complex homogeneous bounded domain systems for the first time. In the book, Siegel domains are discussed in detail. Proofs are given for — every homogeneous bounded domain is holomorphically isomorphic to a homogeneous Siegel domain, and — every homogeneous Siegel domain is affinely isomorphic to a normal Siegel domain. Using the normal Siegel domain to realize the homogeneous bounded domains, we can obtain more properties of the geometry and function theory on homogeneous bounded domains. This book is suitable for graduate students and researchers in mathematics.