A Note on the Asymptotic Expansion of Matrix Coefficients over $p$-adic Fields
Number Theory
2023-03-24 v2 Representation Theory
Abstract
In this note, presented as a ``community service", followed by the PhD research of the author, we draw the relation between Casselman's theorem regarding the asymptotic behavior of matrix coefficients of reductive algebraic groups over -adic fields and its expression as a finite sum of finite functions. In addition, we write the expansion explicitly for general linear groups.
Keywords
Cite
@article{arxiv.2211.15822,
title = {A Note on the Asymptotic Expansion of Matrix Coefficients over $p$-adic Fields},
author = {Zahi Hazan},
journal= {arXiv preprint arXiv:2211.15822},
year = {2023}
}
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8 pages