Mathematics – Spectral Theory
Scientific paper
2010-05-17
Mathematics
Spectral Theory
17 pp
Scientific paper
We prove pointwise bounds for $L^2$ eigenfunctions of the Laplace-Beltrami
operator on locally symmetric spaces with $\mathbb{Q}$-rank one if the
corresponding eigenvalues lie below the continuous part of the $L^2$ spectrum.
Furthermore, we use these bounds in order to obtain some results concerning the
$L^p$ spectrum.
Ji Lizhen
Weber Andreas
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