An Introduction to Harmonic Analysis on Semisimple Lie Groups (Cambridge Studies in Advanced Mathematics, Series Number 16) - Hardcover

Varadarajan, V. S.

Hardcover

ISBN 10: 0521341566 ISBN 13: 9780521341561

Publisher: Cambridge University Press, 1989

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.

About this title

Review

"...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

Book Description

Now in paperback, this graduate-level textbook introduces the representation theory of semi-simple Lie groups. Containing appendices sketching some basic topics with a comprehensive guide to further reading, it is suitable for research students in algebra and analysis, and for research mathematicians requiring a readable account of the topic.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1989
• ISBN 10: 0521341566
• ISBN 13: 9780521341561
• Binding: Hardcover
• Language: English
• Number of pages: 328