Bounded harmonic functions for the Heckman--Opdam Laplacian
Probability
2008-10-21 v2 Classical Analysis and ODEs
Abstract
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.
Keywords
Cite
@article{arxiv.0809.4232,
title = {Bounded harmonic functions for the Heckman--Opdam Laplacian},
author = {Bruno Schapira},
journal= {arXiv preprint arXiv:0809.4232},
year = {2008}
}
Comments
[V2]: terminology "radial function" changed in "W-invariant function". One reference added