Fourier transforms related to a root system of rank 1

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dc.creatorGroenevelt, Wolter
dc.date2005-11-03
dc.date.accessioned2026-07-07T08:07:21Z
dc.date.available2026-07-07T08:07:21Z
dc.descriptionWe introduce an algebra $\mathcal H$ consisting of difference-reflection operators and multiplication operators that can be considered as a $q=1$ analogue of Sahi's double affine Hecke algebra related to the affine root system of type $(C^\vee_1, C_1)$. We study eigenfunctions of a Dunkl-Cherednik-type operator in the algebra $\mathcal H$, and the corresponding Fourier transforms. These eigenfunctions are non-symmetric versions of the Wilson polynomials and the Wilson functions.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/0511079
dc.identifierhttp://arxiv.org/abs/math/0511079
dc.identifierTransform. Groups 12 (2007), no. 1, 77-116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130914
dc.subjectRepresentation Theory
dc.subjectClassical Analysis and ODEs
dc.titleFourier transforms related to a root system of rank 1
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