Construction of Brooks-Lindenstrauss kernels on affine buildings of arbitrary reduced type, with applications

Abstract

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 spaces, the long-standing motivation being to contribute to progress in arithmetic quantum unique ergodicity (AQUE) on certain Riemannian manifolds.

To appear in Mathematische Annalen