Abstract

Let G be a reductive algebraic group defined over a global field k.Denote by A(G) the set of all automorphic representations of G(A). Denote by A S(G) the set of all unitary automorphic representations which occur in Langlands’ spectral decomposition of L 2(G(k)\G(A)) and A d(G) those which occur discretely. Throughout this paper, cuspidal automorphic representations will mean unitary cuspidal automorphic representations.

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