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Geometry of Homogeneous Bounded Domains

Author : E. Vesentini

Publisher : Springer Science & Business Media

Page : 297 pages

File Size : 33,75 MB

Release : 2011-06-08

Category : Mathematics

ISBN : 3642110606

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Book Description

S.G. Gindikin, I.I. Pjateckii-Sapiro, E.B. Vinberg: Homogeneous Kähler manifolds.- S.G. Greenfield: Extendibility properties of real submanifolds of Cn.- W. Kaup: Holomorphische Abbildungen in Hyperbolische Räume.- A. Koranyi: Holomorphic and harmonic functions on bounded symmetric domains.- J.L. Koszul: Formes harmoniques vectorielles sur les espaces localement symétriques.- S. Murakami: Plongements holomorphes de domaines symétriques.- E.M. Stein: The analogues of Fatous’s theorem and estimates for maximal functions.



Theory of Complex Homogeneous Bounded Domains

Author : Yichao Xu

Publisher : Springer Science & Business Media

Page : 438 pages

File Size : 10,88 MB

Release : 2007-12-31

Category : Mathematics

ISBN : 140202133X

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Book 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.





Algebraic Structures of Symmetric Domains

Author : Ichiro Satake

Publisher : Princeton University Press

Page : 340 pages

File Size : 27,40 MB

Release : 2014-07-14

Category : Mathematics

ISBN : 1400856809

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Book Description

This book is a comprehensive treatment of the general (algebraic) theory of symmetric domains. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.



Topics in Complex Function Theory, Volume 3

Author : Carl Ludwig Siegel

Publisher : John Wiley & Sons

Page : 260 pages

File Size : 35,20 MB

Release : 1989-01-18

Category : Mathematics

ISBN : 9780471504016

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Book Description

Develops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular functions in several variables. The last topic originates with the author and appears here for the first time in book form.



Differential Geometry, Lie Groups, and Symmetric Spaces

Author : Sigurdur Helgason

Publisher : Academic Press

Page : 647 pages

File Size : 19,85 MB

Release : 1979-02-09

Category : Mathematics

ISBN : 0080873960

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Book Description

The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful.



Lie Groups, Lie Algebras, and Some of Their Applications

Author : Robert Gilmore

Publisher : Courier Corporation

Page : 610 pages

File Size : 17,6 MB

Release : 2012-05-23

Category : Mathematics

ISBN : 0486131564

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Book Description

This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.







Smooth Compactifications of Locally Symmetric Varieties

Author : Avner Ash

Publisher : Cambridge University Press

Page : 241 pages

File Size : 30,47 MB

Release : 2010-01-14

Category : Mathematics

ISBN : 0521739551

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Book Description

The new edition of this celebrated and long-unavailable book preserves the original book's content and structure and its unrivalled presentation of a universal method for the resolution of a class of singularities in algebraic geometry.