Could you suggest a textbook for integral operators (in the context of Arthur-Selberg trace formula)?
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$\begingroup$ Look at places where it is proved, like the book by Deitmar and Echterhoff. $\endgroup$– user1688Apr 29, 2015 at 8:35
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$\begingroup$ what abou math.uni-bonn.de/people/mueller/skripte/specauto.pdf $\endgroup$– shuApr 29, 2015 at 8:49
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$\begingroup$ There is a very good book of N.V.Kuznetsov Trace formulas and applications in analytical number theory-but it is in Russian. Note that a generalization of Selberg formula is called The Kuznetsov Trace formula (name due to Ivaniec, Huxley and Sarnak).Book of P.Sarnak Some applications of modular forms-the classical one. $\endgroup$– SergeiMay 14, 2015 at 18:07
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