Universality for locally Szegő measures

Authors:
Elliot Findley
Affiliations:
Department of Mathematics, University of South Florida, 4202 E. Fowler Ave., PHY114, Tampa, FL 33620, United States
Venue:
Journal of Approximation Theory
Year:
2008

Citing 3
Cited 2

Real and complex analysis, 3rd ed.

Real and complex analysis, 3rd ed.
Orthogonal polynomials: their growth relative to their sums

Journal of Approximation Theory
Applications of universality limits to zeros and reproducing kernels of orthogonal polynomials

Journal of Approximation Theory

Universality in the bulk holds close to given points

Journal of Approximation Theory
Full length article: A universality theorem for ratios of random characteristic polynomials

Journal of Approximation Theory

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, we use asymptotic estimates of the Christoffel functions associated with regular measures satisfying Szego's condition locally to extend a recent universality result by D.S. Lubinsky. As a consequence, we obtain under the same conditions an extension of a very precise zero-spacing result of Levin and Lubinsky.