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Preprints, Working Papers, ... Year : 2016

Support properties of the intertwining and the mean value operators in Dunkl's analysis

Abstract

In this paper we show that the Dunkl intertwining operator has a compact support which is invariant by the associated Coxeter-Weyl group. This property enables us to determine explicitely the support of the volume mean value operator, a fundamental tool for the study of harmonic functions relative to the Dunkl-Laplacian operator.
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Dates and versions

hal-01331693 , version 1 (14-06-2016)

Identifiers

  • HAL Id : hal-01331693 , version 1

Cite

Léonard Gallardo, Chaabane Rejeb. Support properties of the intertwining and the mean value operators in Dunkl's analysis. 2016. ⟨hal-01331693⟩
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