$L^p$-Spectral theory of locally symmetric spaces with $Q$-rank one

Andreas Weber

doi:10.1007/s11040-007-9026-3

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arXiv · 0707.2477

$L^p$-Spectral theory of locally symmetric spaces with $Q$-rank one

Andreas Weber

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Abstract

We study the $L^p$-spectrum of the Laplace-Beltrami operator on certain complete locally symmetric spaces $M=Γ\backslash X$ with finite volume and arithmetic fundamental group $Γ$ whose universal covering $X$ is a symmetric space of non-compact type. We also show, how the obtained results for locally symmetric spaces can be generalized to manifolds with cusps of rank one.

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BibTeX RIS

Andreas Weber. 2007-07-17. $L^p$-Spectral theory of locally symmetric spaces with $Q$-rank one. https://doi.org/10.1007/s11040-007-9026-3

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