Theory of Complex Homogeneous Bounded Domains [electronic resource] /
Xu, Yichao.author.
Presents a study of the classification and function theory of complex homogeneous bounded domains. This book discusses the Siegel domains in detail. It states that every homogeneous bounded domain is holomorphically isomorphic to a homogeneous Siegel domain, and every homogeneous Siegel domain is affine isomorphic to a normal Siegel domain.
Presents a study of the classification and function theory of complex homogeneous bounded domains. This book discusses the Siegel domains in detail. It states that every homogeneous bounded domain is holomorphically isomorphic to a homogeneous Siegel domain, and every homogeneous Siegel domain is affine isomorphic to a normal Siegel domain.
"Updated and revised translation of the original Chinese publication"--T.p. verso.
Includes bibliographical references and index.
Siegel Domains -- Homogeneous Siegel Domains -- Normal Siegel Domains -- Other Realizations -- Automorphism Group -- Classification of Square Domains -- Symmetric Bounded Domains -- Szegö Kernel and Poisson Kernel -- Homogeneous Bounded Domains.
Mathematical analysis.
Calculus.
Nonassociative rings.
Rings (Algebra).
Topological groups.
Lie groups.
Global analysis (Mathematics).
Manifolds (Mathematics).
Differential geometry.
Analysis.
Non-associative Rings and Algebras.
Topological Groups, Lie Groups.
Global Analysis and Analysis on Manifolds.
Differential Geometry.
Mathematics and its applications