EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 12, No. 2, pp. 409--421 (2002)

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Vanishing properties of analytically continued matrix coefficients

Bernhard Krötz and Michael Otto

B. Krötz, M. Otto
The Ohio State University
Department of Mathematics
231 West 18th Avenue
Columbus, OH 43210-1174

Abstract: We consider (generalized) matrix coefficients associated to irreducible unitary representations of a simple Lie group %${G}$ $G$ which admit holomorphic continuation to a complex semigroup domain %${S\subseteq G_\C}$. $S\subseteq G_\C$. Vanishing theorems for these analytically continued matrix coefficients, one of Howe-Moore type and one for cusp forms, are proved.

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Electronic fulltext finalized on: 6 May 2002. This page was last modified: 21 May 2002.

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