59 citations · 174 across the 22 of their papers we have counts for
23 papers
The Schrödinger equation with fractional Laplacian on hyperbolic spaces and homogeneous trees
Jean-Philippe Anker, Guendalina Palmirotta, Yannick Sire
We investigate dispersive and Strichartz estimates for the Schrödinger equation involving the fractional Laplacian in real hyperbolic spaces and their discrete analogues, homogeneo…
Sharp estimates for distinguished random walks on affine buildings of type Ar
Jean-Philippe Anker, Bruno Schapira, Bartosz Trojan
We study a distinguished random walk on affine buildings of type Ar , which was already considered by Cartwright, Saloff-Coste and Woess. In rank r=2, it is the simple random walk…
Construction of Brooks-Lindenstrauss kernels on affine buildings of arbitrary reduced type, with applications
Jean-Philippe Anker, Bertrand Rémy, Bartosz Trojan
This article deals with harmonic analysis on affine buildings. Its main goal is to construct suitable kernels associated to a discrete multitemporal wave equations on the latter sp…
Optimal bounds for the Dunkl kernel in the dihedral case
Jean-Philippe Anker, Bartosz Trojan
We establish sharp upper and lower estimates of the Dunkl kernel in the case of dihedral groups.
Spectral projectors on hyperbolic surfaces
Jean-Philippe Anker, Pierre Germain, Tristan Léger
In this paper, we prove estimates, where , for spectral projectors on a wide class of hyperbolic surfaces. More precisely, we consider projections in small spect…
Asymptotic behavior of solutions to the heat equation on noncompact symmetric spaces
Jean-Philippe Anker, Effie Papageorgiou, Hong-Wei Zhang
This paper is twofold. The first part aims to study the long-time asymptotic behavior of solutions to the heat equation on Riemannian symmetric spaces of noncompact type and…