%0 Journal Article %T Bounded harmonic functions for the Heckman--Opdam Laplacian %A Bruno Schapira %J Mathematics %D 2008 %I arXiv %X We describe the set of bounded harmonic functions for the Heckman--Opdam Laplacian, when the multiplicity function is larger than 1/2. We prove that this set is a vector space of dimension the cardinality of the Weyl group. We give some consequences in terms of the associated hypergeometric functions. %U http://arxiv.org/abs/0809.4232v2