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ESTIMATES OF AUTOMORPHIC FUNCTIONS

, 2003
We present a new method to estimate trilinear period for automorphic representations of SL2(R). The method is based on the uniqueness principle in representation theory.
J. Bernstein, A. Reznikov
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Rankin – Selberg integrals , the descent method , and Langlands functoriality

, 2006
In this article I survey the descent method of Ginzburg, Rallis and Soudry and its main applications to the Langlands functorial lift of automorphic, cuspidal, generic representations on a classical group to (appropriate) GLn, and to establishing a local
D. Soudry
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On the Nonvanishing of the Central Value of the Rankin-Selberg L-functions II

, 2005
We characterize the nonvanishing of the central value of the Rankin-Selberg L-functions L(s, π × π′) in terms of the period of the GrossPrasad type for the case where π is an irreducible cuspidal automorphic representation of GL2r(A) of symplectic type ...
D. Ginzburg, Dihua Jiang, S. Rallis
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