An Introduction to Harmonic Analysis on Semisimple Lie Groups (Paperback)

V.S. Varadarajan

ISBN 10: 0521663628 / ISBN 13: 9780521663625

Editore: Cambridge University Press, Cambridge, 1999

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Paperback. 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. Now in paperback, this graduate-level textbook is an excellent introduction to the representation theory of semi-simple Lie groups. Professor Varadarajan emphasizes the development of central themes in the context of special examples. He begins with an account of compact groups and discusses the Harish-Chandra modules of SL(2, R) and SL(2, C). Subsequent chapters introduce the Plancherel formula and Schwartz spaces, and show how these lead to the Harish-Chandra theory of Eisenstein integrals. The final sections consider the irreducible characters of semi-simple Lie groups, and include explicit calculations of SL(2, R). The book concludes with appendices sketching some basic topics and with a comprehensive guide to further reading. This superb volume is highly suitable for students in algebra and analysis, and for mathematicians requiring a readable account of the topic. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9780521663625

Dati bibliografici

• Titolo: An Introduction to Harmonic Analysis on Semisimple Lie Groups (Paperback)
• Editore: Cambridge University Press, Cambridge
• Data di pubblicazione: 1999
• Lingua: Inglese
• ISBN 10: 0521663628
• ISBN 13: 9780521663625
• Rilegatura: Paperback
• Condizione: new

Descrizione articolo

Riassunto

Now in paperback, this graduate-level textbook introduces the representation theory of semi-simple Lie groups.

Recensione

"...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