Commuting difference operators with polynomial eigenfunctions

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dc.creatorvan Diejen, J. F.
dc.date1993-06-07
dc.date.accessioned2026-07-07T09:13:25Z
dc.date.available2026-07-07T09:13:25Z
dc.descriptionWe present explicit generators of an algebra of commuting difference operators with trigonometric coefficients. The operators are simultaneously diagonalized by recently discovered q-polynomials (viz. Koornwinder's multivariable generalization of the Askey-Wilson polynomials). From the viewpoint of physics the algebra can be interpreted as consisting of the quantum integrals of a novel difference-type integrable sytem. This system generalizes the Calogero-Moser systems associated with non-exceptional root systems.
dc.description24 pp. (printing format: landscape), Latex (+ amssymbols.sty)
dc.identifierhttps://arxiv.org/abs/funct-an/9306002
dc.identifierhttp://arxiv.org/abs/funct-an/9306002
dc.identifierComp. Math. 95 (1995) 183-233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152318
dc.subjectFunctional Analysis
dc.subjectHigh Energy Physics - Theory
dc.subjectOperator Algebras
dc.subjectExactly Solvable and Integrable Systems
dc.titleCommuting difference operators with polynomial eigenfunctions
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