Monic non-commutative orthogonal polynomials

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dc.creatorAnshelevich, Michael
dc.date2007-02-06
dc.date.accessioned2026-07-07T09:30:14Z
dc.date.available2026-07-07T09:30:14Z
dc.descriptionAmong all states on the algebra of non-commutative polynomials, we characterize the ones that have monic orthogonal polynomials. The characterizations involve recursion relations, Hankel-type determinants, and a representation as a joint distribution of operators on a Fock space.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0702157
dc.identifierhttp://arxiv.org/abs/math/0702157
dc.identifierProc. Amer. Math. Soc. 136 (2008), 2395-2405
dc.identifierdoi:10.1090/S0002-9939-08-09306-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158064
dc.subjectCombinatorics
dc.subjectOperator Algebras
dc.subjectPrimary 05E35; Secondary 46N
dc.titleMonic non-commutative orthogonal polynomials
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