Journal of Lie Theory Vol. 12, No. 2, pp. 409421 (2002) 

Vanishing properties of analytically continued matrix coefficientsBernhard Krötz and Michael OttoB. Krötz, M. OttoThe Ohio State University Department of Mathematics 231 West 18th Avenue Columbus, OH 432101174 USA kroetz@math.ohiostate.edu otto@math.ohiostate.edu 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 HoweMoore type and one for cusp forms, are proved. Full text of the article:
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© 2002 Heldermann Verlag
