A New Approach to Universality at the Edge of the Spectrum

dc.creatorLubinsky, Doron S
dc.date2007-01-05
dc.date.accessioned2026-07-07T07:38:51Z
dc.date.available2026-07-07T07:38:51Z
dc.descriptionWe show how localization and smoothing techniques can be used to establish universality at the edge of the spectrum for a fixed positive measure on [-1,1]. Assume that the measure is a regular measure, and is absolutely continuous in some closed neighborhood J of 1. Assume that in J, w = h * Jacobi, where h(1)>0 and h is continuous at 1. Then universality at 1 for ourgiven measure follows from universality at 1 for the classical Jacobi weight. Note that no smoothness is required of h, only continuity.
dc.identifierhttps://arxiv.org/abs/math/0701169
dc.identifierhttp://arxiv.org/abs/math/0701169
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121242
dc.subjectClassical Analysis and ODEs
dc.subject41, 42
dc.titleA New Approach to Universality at the Edge of the Spectrum
dc.typetext

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