On Kazhdan-Yom Din asymptotic Schur orthogonality for K-finite matrix coefficients

Autor:	Aubert, Anne-Marie, La Rosa, Alfio Fabio
Rok vydání:	2023
Předmět:	Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	In a recent article, D. Kazhdan and A. Yom Din conjectured the validity of an asymptotic form of Schur's orthogonality for tempered irreducible unitary representations of semisimple groups defined over local fields. In the non-Archimedean case, they established such an orthogonality for $K$-finite matrix coefficients. Building on their work, and exploiting the admissibility of irreducible unitary representations, we prove the analogous result in the Archimedean case. Comment: Re-written to fix a gap in the first version. Comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.11417 Zobrazit plný text záznamu View this record from Arxiv