An Introduction to Harmonic Analysis on Semisimple Lie Groups - Couverture souple

Varadarajan, V. S.

 
9780521663625: An Introduction to Harmonic Analysis on Semisimple Lie Groups
Couverture souple
ISBN 10 : 0521663628 ISBN 13 : 9780521663625
Editeur : Cambridge University Press, 2010

Synopsis

Now in paperback, this graduate-level textbook is an introduction to the representation theory of semi-simple Lie groups. As such, it will be suitable for research students in algebra and analysis, and for research mathematicians requiring a readable account of the topic. The author emphasizes the development of the central themes of the subject in the context of special examples, without losing sight of its general flow and structure. The author begins with an account of compact groups and discusses the Harish-Chandra modules of SL(2,R) and SL(2,C). Professor Varadarajan then introduces the Plancherel formula and Schwartz spaces, and shows how these lead to the Harish-Chandra theory of Eisenstein integrals. The final sections are devoted to considering the irreducible characters of semi-simple Lie groups, including explicit calculations of SL(2,R). The book concludes with appendices sketching some basic topics with a comprehensive guide to further reading.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Now in paperback, this graduate-level textbook is an introduction to the representation theory of semi-simple Lie groups. As such, it will be suitable for research students in algebra and analysis, and for research mathematicians requiring a readable account of the topic. The author emphasizes the development of the central themes of the subject in the context of special examples, without losing sight of its general flow and structure. The author begins with an account of compact groups and discusses the Harish-Chandra modules of SL(2,R) and SL(2,C). Professor Varadarajan then introduces the Plancherel formula and Schwartz spaces, and shows how these lead to the Harish-Chandra theory of Eisenstein integrals. The final sections are devoted to considering the irreducible characters of semi-simple Lie groups, including explicit calculations of SL(2,R). The book concludes with appendices sketching some basic topics with a comprehensive guide to further reading.

Revue de presse

"...expository writing traces the historical development of the subject and makes this a very readable account." American Mathematical Monthly

"...the best introduction to harmonic analysis on semisimple Lie groups from the analytic viewpoint." Joseph A. Wolf, Bulletin of the American Mathematical Society

"The author deserves gratitude for writing such a beautiful book for the beginner." Mathematical Reviews

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2010
Langue
anglais
ISBN 10 
0521663628
ISBN 13 
9780521663625
Reliure
Broché
Nombre de pages
328
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9780521341561: An Introduction to Harmonic Analysis on Semisimple Lie Groups

Edition présentée

ISBN 10 :  0521341566 ISBN 13 :  9780521341561
Editeur : Cambridge University Press, 1989
Couverture rigide