On the asymptotics of Hecke operators for reductive groups
Number Theory
2019-09-20 v2 Representation Theory
Abstract
In this paper, we study the asymptotic behavior of the traces of Hecke operators for spherical discrete automorphic representations of fixed level on general split reductive groups over . Under a condition on the analytic behavior of intertwining operators, which is known for the classical groups and the exceptional group , we obtain the expected asymptotics in terms of the spherical Plancherel measure and an explicit estimate for the remainder.
Cite
@article{arxiv.1905.09078,
title = {On the asymptotics of Hecke operators for reductive groups},
author = {Tobias Finis and Jasmin Matz},
journal= {arXiv preprint arXiv:1905.09078},
year = {2019}
}