Bounded harmonic functions for the Heckman--Opdam Laplacian
Résumé
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.
Origine | Fichiers produits par l'(les) auteur(s) |
---|