A New Approach to Universality Limits involving Orthogonal Polynomials

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dc.creatorLubinsky, Doron S
dc.date2007-01-10
dc.date.accessioned2026-07-07T07:39:51Z
dc.date.available2026-07-07T07:39:51Z
dc.descriptionWe show how localization and smoothing techniques can be used to establish universality in the bulk of the spectrum for a fixed positive measure mu on [-1,1]. Assume that mu is a regular measure, and is absolutely continuous in an open interval containing some closed subinterval J of (-1,1). Assume that in J, the absolutely continuous component mu' is positive and continuous. Then universality in J for mu follows from universality for the classical Legendre weight. We also establish universality in an L_{p} sense under weaker assumptions on mu.
dc.identifierhttps://arxiv.org/abs/math/0701307
dc.identifierhttp://arxiv.org/abs/math/0701307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121606
dc.subjectClassical Analysis and ODEs
dc.subject41, 42
dc.titleA New Approach to Universality Limits involving Orthogonal Polynomials
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