Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions

dc.creatorTrimèche, Khalifa
dc.date2008-09-29
dc.date.accessioned2026-07-07T10:06:14Z
dc.date.available2026-07-07T10:06:14Z
dc.descriptionIn this paper we prove inversion formulas for the Dunkl intertwining operator $V_k$ and for its dual ${}^tV_k$ and we deduce the expression of the representing distributions of the inverse operators $V_k^{-1}$ and ${}^tV_k^{-1}$, and we give some applications.
dc.descriptionThis is a contribution to the Special Issue on Dunkl Operators and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0809.5021
dc.identifierhttp://arxiv.org/abs/0809.5021
dc.identifierSIGMA 4 (2008), 067, 22 pages
dc.identifierdoi:10.3842/SIGMA.2008.067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170254
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.titleInversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions
dc.typetext

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