Local asymptotics for orthonormal polynomials on the unit circle via universality

Let µ be a positive measure on the unit circle that is regular in the sense of Stahl, Totik, and Ullmann. Assume that in some subarc J, µ is absolutely continuous, while µ ′ is positive and continuous. Let { φ n } be the orthonormal polynomials for µ . We show that for appropriate ζ n ∈ J , { φ n (...

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Veröffentlicht in:	Journal d'analyse mathématique (Jerusalem) 2020-09, Vol.141 (1), p.285-304
1. Verfasser:	Lubinsky, Doron S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Analysis Dynamical Systems and Ergodic Theory Functional Analysis Mathematics Mathematics and Statistics Partial Differential Equations Polynomials
Online-Zugang:	Volltext
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