Geometric Analysis on Symmetric Spaces: No.39 (Mathematical Surveys and Monographs) - Softcover

Helgason, Sigurdur

 
9780821815380: Geometric Analysis on Symmetric Spaces: No.39 (Mathematical Surveys and Monographs)
Softcover
ISBN 10: 0821815385 ISBN 13: 9780821815380
Verlag: American Mathematical Society, 1994

Inhaltsangabe

This book gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of semisimple Lie groups. The book starts with modern integral geometry for double fibrations and treats several examples in detail. After discussing the theory of Radon transforms and Fourier transforms on symmetric spaces, Helgason examines applications to invariant differential equations on symmetric spaces, particularly potential theory and wave equations. The book concludes with a chapter on eigenspace representations--that is, representations on solution spaces of invariant differential equations. Known for his high-quality expositions, Helgason received the 1988 AMS Steele Prize for his earlier books "Differential Geometry, Lie Groups and Symmetric Spaces" and "Groups and Geometric Analysis". Containing exercises (with solutions) and references to further results, this new book would be suitable for advanced graduate courses in modern integral geometry, analysis on Lie groups, or representation theory of semisimple Lie groups.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

This book gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of semisimple Lie groups. The book starts with modern integral geometry for double fibrations and treats several examples in detail. After discussing the theory of Radon transforms and Fourier transforms on symmetric spaces, Helgason examines applications to invariant differential equations on symmetric spaces, particularly potential theory and wave equations. The book concludes with a chapter on eigenspace representations---that is, representations on solution spaces of invariant differential equations. Known for his high-quality expositions, Helgason received the 1988 AMS Steele Prize for his earlier books "Differential Geometry, Lie Groups and Symmetric Spaces" and "Groups and Geometric Analysis". Containing exercises (with solutions) and references to further results, this new book would be suitable for advanced graduate courses in modern integral geometry, analysis on Lie groups, or representation theory of semisimple Lie groups.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
American Mathematical Society
Erscheinungsdatum
1994
Sprache
Englisch
ISBN 10 
0821815385
ISBN 13 
9780821815380
Einband
Tapa blanda
Anzahl der Seiten
611
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

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