Inversion of the Dunkl-Hermite semigroup

zbMath1266.47062MaRDI QIDQ411973

Néjib Ben Salem, Walid Nefzi

Publication date: 3 May 2012

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: http://math.usm.my/bulletin/html/vol35_2_6.html

zbMATH Keywords

Hilbert spaces of entire functionsDunkl operatorDunkl-Hermite polynomialsDunkl-Hermite semigroup

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Groups and semigroups of linear operators (47D03) Linear operators on function spaces (general) (47B38) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

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On the images of Dunkl-Sobolev spaces under the Schrödinger semigroup associated to Dunkl operators

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