Mathematics – Spectral Theory
Scientific paper
2007-07-17
Math. Phys. Anal. Geom. 10 (2007), no. 2, 135--154.
Mathematics
Spectral Theory
Scientific paper
10.1007/s11040-007-9026-3
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.
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