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

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

2007-11-19

arxiv.org/abs/0711.2925v1

Mathematics

Representation Theory

31 pages

Scientific paper

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.

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