Cesàro Asymptotics for Orthogonal Polynomials on the Unit Circle and Classes of Measures
✍ Scribed by Leonid Golinskii; Sergei Khrushchev
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 310 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Ratio and relative asymptotics are given for sequences of polynomials orthogonal with respect to measures supported on an arc of the unit circle, where their absolutely continuous component is positive almost everywhere. The results obtained extend to this setting known ones given by Rakhmanov and M
Starting from the Delsarte Genin (DG) mapping of the symmetric orthogonal polynomials on an interval (OPI) we construct a one-parameter family of polynomials orthogonal on the unit circle (OPC). The value of the parameter defines the arc on the circle where the weight function vanishes. Some explici