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BOUNDING MATRIX COEFFICIENTS FOR SMOOTH VECTORS OF TEMPERED REPRESENTATIONS

By Binyong Sun and Communicated Wen-ching Winnie Li

Abstract

Abstract. Let G be a Lie group. Let (π, V) be a unitary representation of G which is weakly contained in the regular representation. For smooth vectors u, v in V, we give an upper bound for the matrix coefficient 〈π(g)u, v〉, interms of Harish-Chandra’s Ξ-function. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.2195
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