Asymptotics of orthonormal polynomials in the presence of a denumerable set of mass points

Let a be a positive measure whose support is an interval E plus a denumerable set of mass points which accumulate at the boundary points of E only. Under the assumptions that the mass points satisfy Blaschke's condition and that the absolutely continuous part of a satisfies Szegö's condition, asymptotics for the orthonormal polynomials on and off the support are given. So far asymptotics were only available if the set of mass points is finite.