Asymptotic Behaviour of Orthogonal Polynomials on the Unit Circle with Asymptotically Periodic Reflection Coefficients: II. Weak Asymptotics Original Research Article

In this paper we study orthogonal polynomials with asymptotically periodic reflection coefficients. Itʹs known that the support of the orthogonality measure of such polynomials consists of several arcs. We are mainly interested in the asymptotic behaviour on the support and derive weak convergence results for the orthogonal polynomials and also for the Christoffel function.