Spectral asymptotics for arithmetic quotients of SL(n,R)/SO(n)
Representation Theory
2019-12-19 v1 Spectral Theory
Abstract
In this paper we study the asymptotic distribution of the cuspidal spectrum of arithmetic quotients of the symmetric space S=SL(n,R)/SO(n). In particular, we obtain Weyl's law with an estimation on the remainder term. This extends results of Duistermaat-Kolk-Varadarajan on spectral asymptotics for compact locally symmetric spaces to this non-compact setting.
Keywords
Cite
@article{arxiv.0711.2925,
title = {Spectral asymptotics for arithmetic quotients of SL(n,R)/SO(n)},
author = {Erez Lapid and Werner Mueller},
journal= {arXiv preprint arXiv:0711.2925},
year = {2019}
}
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31 pages