Theory of complex homogeneous bounded domains

Author(s)

    • Xu, Yichao

Bibliographic Information

Theory of complex homogeneous bounded domains

by Yichao Xu

(Mathematics and its applications, v. 569)

Science Press , Kluwer Academic, c2005

  • : Science Press
  • : hb

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Note

Includes bibliographical references (p. 411-424) and index

Description and Table of Contents

Description

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.

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. Szegoe Kernel and Poisson Kernel and sub chapters, 9. Homogeneous Bounded Domains and sub chapters, References, Index

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