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arXiv:0711.2925 [math.RT]AbstractReferencesReviewsResources

Spectral asymptotics for arithmetic quotients of SL(n,R)/SO(n)

Erez Lapid, Werner Mueller

Published 2007-11-19Version 1

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.

Comments: 31 pages
Categories: math.RT, math.SP
Subjects: 11F70, 11F72
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