Plancherel density theorem for automorphic representations

Sug Woo Shin (University of Chicago)

 

Let S be a finite set of finite primes. Let G be a connected reductive group over Q such that G(R) has a discrete series. I prove that the S-components of discrete automorphic representations of G(A) are equidistributed with respect to the Plancherel measure on the unitary dual of G(Q_S). One immediate corollary is an existence theorem for automorphic representations.

 


 


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