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.

List of contents

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.

Summary

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.

Product details

• Authors: Yichao Xu
• Publisher: Springer Netherlands
• Languages: English
• Product format: Paperback / Softback
• Released: 20.10.2010
• EAN: 9789048165964
• ISBN: 978-90-481-6596-4
• No. of pages: 428
• Dimensions: 155 mm x 23 mm x 235 mm
• Weight: 663 g
• Illustrations: X, 428 p.
• Series: Mathematics and Its Applications; Mathematics and Its Applications
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Analysis, Algebra, B, Mathematics and Statistics, Differential Geometry, Topological Groups, Lie Groups, Manifolds (Mathematics), Topological groups, Non-associative Rings and Algebras, Lie groups, Topological Groups and Lie Groups, Nonassociative rings, Global analysis (Mathematics), Global Analysis and Analysis on Manifolds, Calculus and mathematical analysis, Differential and Riemannian geometry, Groups and group theory, Geometry, Differential