Fine structure of the zeros of orthogonal polynomials, III. Periodic recursion coefficients

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dc.creatorSimon, Barry
dc.date2004-12-16
dc.date.accessioned2026-07-07T05:15:22Z
dc.date.available2026-07-07T05:15:22Z
dc.descriptionWe discuss asymptotics of the zeros of orthogonal polynomials on the real line and on the unit circle when the recursion coefficients are periodic. The zeros on or near the absolutely continuous spectrum have a clock structure with spacings inverse to the density of zeros. Zeros away from the a.c. spectrum have limit points mod p and only finitely many of them.
dc.identifierhttps://arxiv.org/abs/math/0412336
dc.identifierhttp://arxiv.org/abs/math/0412336
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73609
dc.subjectSpectral Theory
dc.subjectPrimary 26C10; Secondary 48J53, 35Q58
dc.titleFine structure of the zeros of orthogonal polynomials, III. Periodic recursion coefficients
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