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Oct 10, 2011 at 19:50 comment added 7-adic to BR and Emerton, thank you so much!
Oct 10, 2011 at 19:49 vote accept 7-adic
Oct 10, 2011 at 16:36 comment added B R Emerton, indeed! That's where I first went to find the statement of the theorem (which I then quoted in my original comments).
Oct 10, 2011 at 15:51 comment added Emerton If memory serves, then another reference (with no proof, of course, but with a discussion of Harish-Chandra's result and how it can be translated into the language of automorphic representations) is in the Borel--Jacquet article "Automorphic forms and automorphic representations" in the first of the Corvalis volumes.
Oct 10, 2011 at 13:51 history answered B R CC BY-SA 3.0