Bispectral Operators of Rank 1 and Dual Isomonodromic Deformations

dc.creatorHarnad, J.
dc.date1996-12-26
dc.date.accessioned2026-07-07T09:17:56Z
dc.date.available2026-07-07T09:17:56Z
dc.descriptionA comparison is made between bispectral operator pairs and dual pairs of isomonodromic deformation equations. Through examples, it is shown how operators belonging to rank one bispectral algebras may be viewed equivalently as defining 1-parameter families of rational first order differential operators with matricial coefficients on the Riemann sphere, whose monodromy is trivial. By interchanging the rôles of the two variables entering in the bispectral pair, a second 1-parameter family of operators with trivial monodromy is obtained, which may be viewed as the dual isomonodromic deformation system.
dc.description16pgs, AMSTeX
dc.identifierhttps://arxiv.org/abs/solv-int/9612012
dc.identifierhttp://arxiv.org/abs/solv-int/9612012
dc.identifierCRM Proc. Lecture Notes 11, 155-167 (Amer. Math. Soc., Providence RI, 1997)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153850
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.titleBispectral Operators of Rank 1 and Dual Isomonodromic Deformations
dc.typetext

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