Universality Under Szeg?'s Condition

Canadian mathematical bulletin

Vilmos Totik¹ 

[1] Department of Mathematics and Statistics , University of South Florida , 4202 E. Fowler Ave, CMC342 , Tampa, FL 33620-5700, USA

关键词: universality;    random matrices;    Christoffel functions;    asymptotics;    potential theory;   

DOI  :  10.4153/CMB-2015-043-5

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

This paper presents atheorem on universality on orthogonal polynomials/random matricesunder a weak local condition on the weight function $w$.With a new inequality forpolynomials and with the use of fast decreasing polynomials,it is shown that an approach ofD. S. Lubinsky is applicable. The proof worksat all points which are Lebesgue-points bothfor the weight function $w$ and for $log w$.

【 授权许可】

Unknown