Discrete bispectral Darboux transformations from Jacobi operators

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dc.creatorGrünbaum, F. Alberto
dc.creatorYakimov, Milen
dc.date2000-12-19
dc.date.accessioned2026-07-07T04:39:19Z
dc.date.available2026-07-07T04:39:19Z
dc.descriptionWe construct families of bispectral difference operators of the form a(n)T + b(n) + c(n) T^{-1} where T is the shift operator. They are obtained as discrete Darboux transformations from appropriate extensions of Jacobi operators. We conjecture that along with operators previously constructed by Grunbaum, Haine, Horozov, and Iliev they exhaust all bispectral regular (i.e. a(n)c(n) \neq 0, for all integer n) operators of the form above.
dc.description30 pages, AMS latex
dc.identifierhttps://arxiv.org/abs/math/0012191
dc.identifierhttp://arxiv.org/abs/math/0012191
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60615
dc.subjectClassical Analysis and ODEs
dc.titleDiscrete bispectral Darboux transformations from Jacobi operators
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