%0 Journal Article %T $L^p$-Spectral theory of locally symmetric spaces with $Q$-rank one %A Andreas Weber %J Mathematics %D 2007 %I arXiv %R 10.1007/s11040-007-9026-3 %X We study the $L^p$-spectrum of the Laplace-Beltrami operator on certain complete locally symmetric spaces $M=\Gamma\backslash X$ with finite volume and arithmetic fundamental group $\Gamma$ 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. %U http://arxiv.org/abs/0707.2477v1