Rank one perturbations and the zeros of paraorthogonal polynomials on the unit circle

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dc.creatorSimon, Barry
dc.date2006-06-01
dc.date.accessioned2026-07-07T07:14:44Z
dc.date.available2026-07-07T07:14:44Z
dc.descriptionWe prove several results about zeros of paraorthogonal polynomials using the theory of rank one perturbations of unitary operators. In particular, we obtain new details on the interlacing of zeros for successive POPUC.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0606037
dc.identifierhttp://arxiv.org/abs/math/0606037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113000
dc.subjectSpectral Theory
dc.subjectClassical Analysis and ODEs
dc.subject05E35, 30C15, 47B36
dc.titleRank one perturbations and the zeros of paraorthogonal polynomials on the unit circle
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