%0 Journal Article
%T Regularity and the Cesaro-Nevai class
%A Barry Simon
%J Mathematics
%D 2007
%I arXiv
%X We consider OPRL and OPUC with measures regular in the sense of Ullman-Stahl-Totik and prove consequences on the Jacobi parameters or Verblunsky coefficients. For example, regularity on $[-2,2]$ implies $\lim_{N\to\infty} N^{-1} [\sum_{n=1}^N (a_n-1)^2 + b_n^2] =0$.
%U http://arxiv.org/abs/0711.2695v1