Introduction to harmonic analysis on semisimple lie groups

By:

Varadarajan, V.S

Material type: Book

BookSeries: Cambridge studies in advanced mathematics ; 16Publication details: Cambridge: Cambridge University Press, 1999.Edition: 1stDescription: x, 316 p. : ill. ; pb. 23 cmISBN:

9780521663625

Subject(s):

DDC classification:

515.2433 VAR

Summary: 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.

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	515.2433 VAR (Browse shelf(Opens below))	1	Available		030052

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Previous	515.2433 RUD Fourier analysis on groups	515.2433 SIL Harmonic analysis on finite groups	515.2433 VAR Introduction to harmonic analysis on semisimple Lie groups	515.2433 VAR Introduction to harmonic analysis on semisimple lie groups	515.2433 VAS Bellman function technique in harmonic analysis	515.2433 WAL Harmonic analysis on homogeneous spaces	515.26 ALS When less is more: visualizing basic inequalities	Next

Originally published: 1989. Includes bibliographical references (p. [310]-312) and index

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.

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