Compactifications of Symmetric Spaces: 156 - Brossura

Guivarc'h, Yves; Ji, Lizhen; Taylor, John C.

Brossura

ISBN 10: 1461275423 ISBN 13: 9781461275428

Casa editrice: Birkhauser, 2011

Riassunto

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

Su questo libro

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: Birkhauser
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 1461275423
• ISBN 13: 9781461275428
• Rilegatura: Copertina flessibile
• Numero di pagine: 298
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile