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What texts/books are available for progressing into non-commutative harmonic analysis?

edited Feb 20 2012 at 14:48

quid

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3 revisions, 2 users
QPeng 100%

"Soft questions" (question that don't really have an answer) should generally be made "community wiki". I've converted this one to wiki, but in the future you should check the "community wiki" box in the lower right hand corner of the input field. Of course, specific questions that "have answers" should usually not be community wiki. – Anton Geraschenko♦ Nov 6 2009 at 17:48

Fran Burstall · Answer 1 · 2009-11-06 18:56:12Z UTC

2

I like Taylors Noncommutative Harmonic Analysis.

answered Nov 6 2009 at 18:56

Fran Burstall

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Thomas Riepe · Answer 2 · 2009-11-07 08:03:24Z UTC

2

I found this historic survey and this one interesting.

answered Nov 7 2009 at 8:03

Thomas Riepe

community wiki

Marc Palm · Answer 3 · 2012-02-20 09:49:31Z UTC

I especially like

Lang: SL(2,R) (There is more than just SL(2,R) there)

Folland: A course in abstract harmonic analysis (especially for quasi invariant measures on homogeneous spaces)

Deitmar-Echterhoff: Principles of Harmonic Analysis (especially for the Selberg trace formula, structure of locally abelian groups and the measure theory part)

Barut and Raczka: The Theory of group representations and applications (For Mackey's theory of induced representation)

Montgomery, Zippin: Topological Transformation groups (Structure theory of locally compact groups and Hilbert 5th problem)

Jose Brox · Answer 4 · 2009-11-07 08:20:27Z UTC

1

The book

A first course in Harmonic Analysis

by Anton Deitmar has the noncommutative setting as one of its goals.

(check Gigapedia, you can get it over there).

answered Nov 7 2009 at 8:20

Jose Brox

community wiki

Kjetil B Halvorsen · Answer 5 · 2012-06-29 18:24:05Z UTC

0

" Engineering Applications of Noncommutative Harmonic Analysis: With Emphasis on Rotation and Motion Groups " by Gregory S. Chirikjian and Alexander B. Kyatkin.

answered Jun 29 at 18:24

Kjetil B Halvorsen

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Texts In Non-Commutative Harmonic Analysis

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