Universality limits for generalized Jacobi measures

被引：3

作者：

Danka, Tivadar ^{[1
]}

机构：

[1] Univ Szeged, Bolyai Inst, Aradi V Tere 1, H-6720 Szeged, Hungary

来源：

ADVANCES IN MATHEMATICS | 2017年 / 316卷

基金：

欧洲研究理事会;

关键词：

Universality; Orthogonal polynomials; Christoffel-Darboux kernel; Generalized Jacobi measure; Riemann-Hilbert method; Christoffel functions; ORTHOGONAL POLYNOMIALS; STRONG ASYMPTOTICS; RESPECT;

D O I：

10.1016/j.aim.2017.06.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper universality limits are studied in connection with measures which exhibit power-type singular behavior somewhere in their support. We extend the results of Lubinsky for Jacobi measures supported on [-1,1] to generalised Jacobi measures supported on a compact subset of the real line, where the singularity can be located in the interior or at an endpoint of the support. The analysis is based upon the Riemann Hilbert method, Christoffel functions, the polynomial inverse image method of Totik and the normal family approach of Lubinsky. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：613 / 666

页数：54