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

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home

EMIS Home

 		 

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
USA
kroetz@math.ohio-state.edu
otto@math.ohio-state.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 Howe-Moore type and one for cusp forms, are proved.

Full text of the article:

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

© 2002 Heldermann Verlag
© 2002 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition