Spectral asymptotics for arithmetic quotients of ${\rm SL}(n,{\mathbb R})/\rm{SO}(n)$
Erez Lapid and Werner Müller
Source: Duke Math. J. Volume 149, Number 1 (2009), 117-155.
Abstract
In this article we study the asymptotic distribution of the cuspidal spectrum of arithmetic quotients of the symmetric space ${\rm SL}(n,{\mathbb R})/\operatorname{SO}(n)$. In particular, we obtain Weyl's law with an estimation on the remainder term. This extends some of the main results of Duistermaat, Kolk, and Varadarajan ([DKV1]) to this setting
Primary Subjects: 11F70
Secondary Subjects: 11F72
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1246453790
Digital Object Identifier: doi:10.1215/00127094-2009-037
Zentralblatt MATH identifier:
05588173
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