Theory of Complex Homogeneous Bounded Domains

This book is the first to systematically explore the classification and function theory of complex homogeneous bounded domains. The Siegel domains are discussed in detail, and proofs are presented. 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.

Contenu

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.