Bounding matrix coefficients for smooth vectors of tempered representations
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- by Binyong Sun PDF
- Proc. Amer. Math. Soc. 137 (2009), 353-357 Request permission
Abstract:
Let $G$ be a Lie group. Let $(\pi ,V)$ 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 $\langle \pi (g)u,v\rangle$, in terms of Harish-Chandra’s $\Xi$-function.References
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Additional Information
- Binyong Sun
- Affiliation: Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China
- MR Author ID: 805605
- Email: sun@math.ac.cn
- Received by editor(s): September 7, 2007
- Published electronically: August 6, 2008
- Additional Notes: This work was supported by the Knowledge Innovation Program of the Chinese Academy of Sciences.
- Communicated by: Wen-Ching Winnie Li
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 353-357
- MSC (2000): Primary 22E45; Secondary 22E30
- DOI: https://doi.org/10.1090/S0002-9939-08-09598-1
- MathSciNet review: 2439460