%0 Journal Article
%T On tilings defined by discrete reflection groups
%A Pavel V. Bibikov
%A Vladimir S. Zhgoon
%J Mathematics
%D 2009
%I arXiv
%X The recent articles of Waldspurger and Meinrenken contained the results of tilings formed by the sets of type $(1-w)C^\circ$, $w\in W$, where $W$ is a linear or affine Weyl group, and $C^\circ$ is an open kernel of a fundamental chamber $C$ of the group $W$. In this article we generalize these results to cocompact hyperbolic reflection groups. We also give more clear and simple proofs of the Waldspurger and Meinrenken theorems.
%U http://arxiv.org/abs/0911.3919v1