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Compactifications of symmetric spaces

Author: Y Guivarc'h; Lizhen Ji; J C Taylor
Publisher: Boston : Birkhäuser, ©1998.
Series: Progress in mathematics (Boston, Mass.), v. 156.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
The concept of symmetric space is of central importance in many branches of mathematics. Compactifications of these spaces have been studied from the points of view of representation theory, geometry, and random walks. This work is devoted to the study of the interrelationships among these various compactifications and, in particular, focuses on the Martin compactifications. It is the first exposition to treat  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Y Guivarc'h; Lizhen Ji; J C Taylor
ISBN: 0817638997 9780817638993 3764338997 9783764338992 9781461224525 1461224527 9781461275428 1461275423
OCLC Number: 37353739
Description: x, 284 pages : illustrations ; 25 cm.
Contents: Ch. I. Introduction --
Ch. II. Subalgebras and parabolic subgroups --
Ch. III. Geometrical constructions of compactifications --
Ch. IV. The Satake-Furstenberg compactifications --
Ch. V. The Karpelevic compactification --
Ch. VI. Martin compactifications --
Ch. VII. The Martin compactification X[actual symbol not reproducible]X([lambda][subscript 0]) --
Ch. VIII. The Martin compactification X[actual symbol not reproducible]X([lambda][subscript 0]) --
Ch. IX. An intrinsic approach to the boundaries of X --
Ch. X. Compactification via the ground state --
Ch. XI. Harnack inequality, Martin's method and the positive spectrum for random walks --
Ch. XII. The Furstenberg boundary and bounded harmonic functions --
Ch. XIII. Integral representation of positive eigenfunctions of convolution operators --
Ch. XIV. Random walks and ground state properties --
Ch. XV. Extension to semisimple algebraic groups defined over a local field.
Series Title: Progress in mathematics (Boston, Mass.), v. 156.
Responsibility: Yves Guivarc'h, Lizhen Ji, J.C. Taylor.

Abstract:

This text is devoted to the study of the interrelationships between these various compactifications. It should be of interest to researchers and graduate students.  Read more...

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