Mass points of measures on the unit circle and reflection coefficients
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- by Leonid Golinskii PDF
- Proc. Amer. Math. Soc. 131 (2003), 1771-1776 Request permission
Abstract:
Measures on the unit circle and orthogonal polynomials are completely determined by their reflection coefficients through the Szegő recurrences. We find the conditions on the reflection coefficients which provide the lack of a mass point at $\zeta =1$. We show that the result is sharp in a sense.References
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Additional Information
- Leonid Golinskii
- Affiliation: Mathematics Division, Institute for Low Temperature Physics and Engineering, 47 Lenin Avenue, Kharkov 61103, Ukraine
- MR Author ID: 196910
- Email: golinskii@ilt.kharkov.ua
- Received by editor(s): December 13, 2001
- Received by editor(s) in revised form: January 14, 2002
- Published electronically: October 1, 2002
- Additional Notes: This material is based on work supported by the INTAS Grant 2000-272
- Communicated by: Andreas Seeger
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1771-1776
- MSC (2000): Primary 42C05
- DOI: https://doi.org/10.1090/S0002-9939-02-06706-0
- MathSciNet review: 1955264