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math.SP2010
Pointwise bounds for eigenfunctions on locally symmetric spaces
Lizhen Ji, Andreas Weber
We prove pointwise bounds for eigenfunctions of the Laplace-Beltrami operator on locally symmetric spaces with -rank one if the corresponding eigenvalues lie belo…
math.SP2010★ 8 cited
Riesz Transform on Locally Symmetric Spaces and Riemannian Manifolds with a Spectral Gap
Lizhen Ji, Peer Kunstmann, Andreas Weber
In this paper we study the Riesz transform on complete and connected Riemannian manifolds with a certain spectral gap in the spectrum of the Laplacian. We show that on su…