Bounded harmonic functions for the Heckman--Opdam Laplacian

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dc.creatorSchapira, Bruno
dc.date2008-09-24
dc.date2008-10-21
dc.date.accessioned2026-07-07T10:11:25Z
dc.date.available2026-07-07T10:11:25Z
dc.descriptionWe 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.
dc.description[V2]: terminology "radial function" changed in "W-invariant function". One reference added
dc.identifierhttps://arxiv.org/abs/0809.4232
dc.identifierhttp://arxiv.org/abs/0809.4232
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171857
dc.subjectProbability
dc.subjectClassical Analysis and ODEs
dc.subject33C67; 60J45; 60J50
dc.titleBounded harmonic functions for the Heckman--Opdam Laplacian
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