Strictly nilpotent elements and bispectral operators in the Weyl algebra

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dc.creatorHorozov, Emil
dc.date2002-06-18
dc.date.accessioned2026-07-07T04:29:16Z
dc.date.available2026-07-07T04:29:16Z
dc.descriptionIn this paper we give another characterization of the strictly nilpotent elements in the Weyl algebra, which (apart from the polynomials) turn out to be all bispectral operators with polynomial coefficients. This also allows to reformulate in terms of bispectral operators the famous conjecture, that all the endomorphisms of the Weyl algebra are automorphisms (Dixmier, Kirillov, etc).
dc.description11 pages, to appear in Bull. Sci. Math
dc.identifierhttps://arxiv.org/abs/math-ph/0206030
dc.identifierhttp://arxiv.org/abs/math-ph/0206030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57089
dc.subjectMathematical Physics
dc.titleStrictly nilpotent elements and bispectral operators in the Weyl algebra
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