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Progress in Mathematics

Compactifications of Symmetric Spaces

Authors: Guivarc'h, Yves, Ji, Lizhen, Taylor, John C.

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About this book

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 compactifications of symmetric spaces systematically and to uniformized the various points of view.

Key features:

* definition and detailed analysis of the Martin compactifications

* new geometric Compactification, defined in terms of the Tits building, that coincides with the Martin Compactification at the bottom of the positive spectrum.

* geometric, non-inductive, description of the Karpelevic Compactification

* study of the well-know isomorphism between the Satake compactifications and the Furstenberg compactifications

* systematic and clear progression of topics from geometry to analysis, and finally to random walks

The work is largely self-contained, with comprehensive references to the literature. It is an excellent resource for both researchers and graduate students.

Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $64.99
price for USA in USD
  • ISBN 978-1-4612-2452-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA in USD
  • ISBN 978-0-8176-3899-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $84.99
price for USA in USD
  • ISBN 978-1-4612-7542-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Compactifications of Symmetric Spaces
Authors
Series Title
Progress in Mathematics
Series Volume
156
Copyright
1998
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4612-2452-5
DOI
10.1007/978-1-4612-2452-5
Hardcover ISBN
978-0-8176-3899-3
Softcover ISBN
978-1-4612-7542-8
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XIII, 286
Topics

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