A New Approach to Universality at the Edge of the Spectrum

Details A New Approach to Universality at the Edge of the Spectrum A New Approach to Universality at the Edge of the Spectrum

2007-01-05

arxiv.org/abs/math/0701169v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We 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.

Affiliated with

Also associated with

No associations

Rating

A New Approach to Universality at the Edge of the Spectrum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A New Approach to Universality at the Edge of the Spectrum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A New Approach to Universality at the Edge of the Spectrum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-16448