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On Kazhdan–Yom Din
asymptotic orthogonality for $K$-finite matrix coefficients
of tempered representations
Anne-Marie Aubert and Alfio Fabio La Rosa |
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Vol. 339 (2025), No. 1, 23–72
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Abstract |
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Recently, D. Kazhdan and A. Yom Din conjectured the validity of an asymptotic form of Schur orthogonality for tempered, irreducible, unitary representations of semisimple groups defined over local fields. In the non-Archimedean case, they established it for -finite matrix coefficients. In this article we prove the analogous result in the Archimedean case. |
Keywords
real Lie group, tempered representation, asymptotic Schur
orthogonality
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Mathematical Subject Classification
Primary: 22D10
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Milestones
Received: 5 May 2023
Revised: 8 August 2025
Accepted: 8 August 2025
Published: 1 September 2025
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Authors |
| Anne-Marie Aubert | |
| Institut de Mathématiques de Jussieu
- Paris Rive Gauche CNRS, Sorbonne Université and Université de Paris Paris France |
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| Alfio Fabio La Rosa | |
| Institute for the Advanced Study of
Mathematics Zhejiang University Hangzhou China |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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