Bounded harmonic functions for the Heckman--Opdam Laplacian
  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. 
Bruno Schapira (LM-Orsay)