8 citations · 22 across the 7 of their papers we have counts for
8 papers
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…
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…
spectrum and heat dynamics of locally symmetric spaces of higher rank
Lizhen Ji, Andreas Weber
The aim of this paper is to study the spectrum of the Laplacian and the dynamics of the heat semigroup on non-compact locally symmetric spaces of higher rank. Our work…
Tensor products of recurrent hypercyclic semigroups
Andreas Weber
We study tensor products of strongly continuous semigroups on Banach spaces that satisfy the hypercyclicity criterion, the recurrent hypercyclicity criterion or are chaotic.
spectral theory and heat dynamics of locally symmetric spaces
Lizhen Ji, Andreas Weber
In this paper we first derive several results concerning the spectrum of arithmetic locally symmetric spaces whose $\Q$-rank equals one. In particular, we show that there is…
Dynamics of the heat semigroup on symmetric spaces
Lizhen Ji, Andreas Weber
The aim of this paper is to show that the dynamics of heat semigroups () on a symmetric space of non-compact type is very different from the dynamics of the heat s…