Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients, I. The essential support of the measure
โ Scribed by Damanik, David; Munger, Paul; Yessen, William N.
- Book ID
- 123314644
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 650 KB
- Volume
- 173
- Category
- Article
- ISSN
- 0021-9045
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๐ SIMILAR VOLUMES
For a positive measure \(\mu\) on the unit circle \((\Gamma)\) in the complex plane, \(m\) points \(z_{j}\) off \(\Gamma\) and \(m\) positive numbers \(A_{j}, j=1,2, \ldots, m\), we investigate the asymptotic behavior of orthonormal polynomials \(\Phi_{n}(z)\) corresponding to \(d_{\mu} / 2 \pi+\) \
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