Journal of Lie Theory Vol. 13, No. 1, pp. 133--154 (2003) |
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Kazhdan Constants and Matrix Coefficients of Sp(n,{\bf R})Markus NeuhauserM. NeuhauserTechnische Universität München Zentrum Mathematik Arcisstr.\ 21 D-80290 München GERMANY neuhausm@mathematik.tu-muenchen.de Abstract: An infinitesimal Kazhdan constant of Sp(2,{\bf R}) is computed. The methods used to prove this can also be employed to determine a quantitative estimate of the asymptotics of the matrix coefficients of Sp($n$,{\bf R}) in an elementary manner. An application of the result gives explicit Kazhdan constants for Sp($n$,{\bf R}), $n\geq 2$. Full text of the article:
Electronic fulltext finalized on: 22 Nov 2002. This page was last modified: 3 Jan 2003.
© 2002 Heldermann Verlag
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