Pointwise bounds for $L^2$ eigenfunctions on locally symmetric spaces

Lizhen Ji; Andreas Weber

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arXiv · 1005.2980

Pointwise bounds for $L^2$ eigenfunctions on locally symmetric spaces

Lizhen Ji·Andreas Weber

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Abstract

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.

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BibTeX RIS

Lizhen Ji, Andreas Weber. 2010-05-17. Pointwise bounds for $L^2$ eigenfunctions on locally symmetric spaces. https://arxiv.org/abs/1005.2980

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