The Nevai Condition

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dc.creatorBreuer, Jonathan
dc.creatorLast, Yoram
dc.creatorSimon, Barry
dc.date2008-09-12
dc.date.accessioned2026-07-07T10:02:34Z
dc.date.available2026-07-07T10:02:34Z
dc.descriptionWe study Nevai's condition that for orthogonal polynomials on the real line, $K_n(x,x_0)^2 K_n(x_0,x_0)^{-1} dρ(x)\toδ_{x_0}$ where $K_n$ is the CD kernel. We prove that it holds for the Nevai class of a finite gap set uniformly on the spectrum and we provide an example of a regular measure on $[-2,2]$ where it fails on an interval.
dc.identifierhttps://arxiv.org/abs/0809.2255
dc.identifierhttp://arxiv.org/abs/0809.2255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169019
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject42C05, 39A10, 30C10
dc.titleThe Nevai Condition
dc.typetext

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