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Jun 4, 2011 at 3:18 comment added The Mathemagician @Peter,Mark Dietmar's books and especially Folland's,are both excellent suggestions. In fact,I'd recommend ANY of Folland's textbooks for graduate students of analysis.
Jun 3, 2011 at 11:09 comment added Mark Kim-Mulgrew Folland's A Course in Abstract Harmonic Analysis (1995) is another excellent recent text.
Jun 3, 2011 at 10:54 history made wiki Post Made Community Wiki by François G. Dorais
Jun 3, 2011 at 10:46 comment added Peter Humphries If you're looking at Fourier analysis on groups, there are a couple great books that are quite recent: Deitmar's A First Course in Harmonic Analysis (which is quite simple), then Deitmar and Echterhoff's Principles of Harmonic Analysis (which looks more at nonabelian groups).
Jun 3, 2011 at 10:26 history answered Alain Valette CC BY-SA 3.0