Asymptotics of orthogonal polynomials beyond the scope of Szego's theorem

F. Peherstorfer, A. Volberg, P. Yuditskii

First we give here a simple proof of a remarkable result of Videnskii and Shirokov: let $B$ be a Blaschke product with $n$ zeros, then there exists an outer function $\varphi ,\varphi (0)=1$, s…