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

✍ Scribed by Franz Peherstorfer; Robert Steinbauer

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
192 KB
Volume
105
Category
Article
ISSN
0021-9045

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✦ Synopsis

In this paper we study orthogonal polynomials with asymptotically periodic reflection coefficients. It's 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.

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