Orthogonal Polynomials on the Unit Circle with Fibonacci Verblunsky Coefficients, II. Applications
β Scribed by Damanik, David; Munger, Paul; Yessen, William N.
- Book ID
- 121624862
- Publisher
- Springer
- Year
- 2013
- Tongue
- English
- Weight
- 785 KB
- Volume
- 153
- Category
- Article
- ISSN
- 0022-4715
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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 r
Orthogonal polynomials on the unit circle are fully determined by their reflection coefficients through the Szego recurrences. Assuming that the reflection coefficients converge to a complex number a with 0< |a| <1, or, in addition, they form a sequence of bounded variation, we analyze the orthogona