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arXiv · 0711.2925

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

Erez Lapid·Werner Mueller
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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.

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BibTeXRIS

Erez Lapid, Werner Mueller. 2007-11-19. Spectral asymptotics for arithmetic quotients of SL(n,R)/SO(n). https://doi.org/10.1215/00127094-2009-037

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