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Boundary asymptotics for rational orthonormal functions and Schur analysis L. Baratchart |
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Аннотация: Given a positive measure on the unit circle with Dini-smooth nonvanishing density, and a hyperbolically non-separated sequence of points in the unit disk that may tend to the unit circle, we show a Szegő-type theorem for the initial coecient of orthonormal rational functions with poles at the reflection of these points. This provides one with a convergence property of the multipoint Schur algorithm in the Язык доклада: английский |