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arXiv · 0809.4232

Bounded harmonic functions for the Heckman--Opdam Laplacian

Bruno Schapira
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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.

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Bruno Schapira. 2008-10-21. Bounded harmonic functions for the Heckman--Opdam Laplacian. https://arxiv.org/abs/0809.4232

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