most recent 30 from http://mathoverflow.net 2013-05-19T12:27:16Z http://mathoverflow.net/feeds/question/4364 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/4364/texts-in-non-commutative-harmonic-analysis QPeng 2009-11-06T11:30:11Z 2012-06-29T18:24:05Z

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

http://mathoverflow.net/questions/4364/texts-in-non-commutative-harmonic-analysis/4414#4414 Fran Burstall 2009-11-06T18:56:12Z 2009-11-06T18:56:12Z

<p>I like Taylors <a href="http://books.google.co.uk/books?id=8y11t3mhLO8C&amp;lpg=PP1&amp;ots=5F9FYK2efG&amp;dq=Taylor%20noncommutative%20harmonic%20analysis&amp;pg=PA20#v=onepage&amp;q=&amp;f=false" rel="nofollow">Noncommutative Harmonic Analysis</a>.</p>

http://mathoverflow.net/questions/4364/texts-in-non-commutative-harmonic-analysis/4509#4509 Thomas Riepe 2009-11-07T08:03:24Z 2009-11-07T08:03:24Z

<p>I found <a href="http://mathdl.maa.org/images/upload_library/22/Chauvenet/Grosschv.pdf" rel="nofollow" title="BAMS scan">this historic survey</a> and <a href="http://www.ams.org/bull/1980-03-01/S0273-0979-1980-14783-7/S0273-0979-1980-14783-7.pdf" rel="nofollow" title="BAMS scan">this one</a> interesting.</p>

http://mathoverflow.net/questions/4364/texts-in-non-commutative-harmonic-analysis/4513#4513 Jose Brox 2009-11-07T08:20:27Z 2009-11-07T08:20:27Z

<p>The book </p> <p><a href="http://www.amazon.com/First-Course-Harmonic-Analysis-Universitext/dp/0387228373/ref=sr_1_1?ie=UTF8&amp;s=books&amp;qid=1257581850&amp;sr=8-1" rel="nofollow">A first course in Harmonic Analysis</a></p> <p>by Anton Deitmar has the noncommutative setting as one of its goals.</p> <p>(check Gigapedia, you can get it over there).</p>

http://mathoverflow.net/questions/4364/texts-in-non-commutative-harmonic-analysis/89005#89005 Marc Palm 2012-02-20T09:49:31Z 2012-02-20T09:49:31Z

<p>I especially like</p> <p>Lang: SL(2,R) (There is more than just SL(2,R) there)</p> <p>Folland: A course in abstract harmonic analysis (especially for quasi invariant measures on homogeneous spaces)</p> <p>Deitmar-Echterhoff: Principles of Harmonic Analysis (especially for the Selberg trace formula, structure of locally abelian groups and the measure theory part)</p> <p>Barut and Raczka: The Theory of group representations and applications (For Mackey's theory of induced representation)</p> <p>Montgomery, Zippin: Topological Transformation groups (Structure theory of locally compact groups and Hilbert 5th problem)</p>

http://mathoverflow.net/questions/4364/texts-in-non-commutative-harmonic-analysis/100968#100968 Kjetil B Halvorsen 2012-06-29T18:24:05Z 2012-06-29T18:24:05Z

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