On the size of the polynomials orthonormal on the unit circle with respect to a measure which is a sum of the Lebesgue measure and $P$ point masses
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Abstract:
For the measures on the unit circle that are equal to the sum of Lebesgue measure and $p$ point masses, we give an estimate on the size of the corresponding orthonormal polynomials. As a simple corollary of the method, we obtain a bound for some exponential polynomials.References
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Additional Information
- S. Denisov
- Affiliation: Department of Mathematics, University of Wisconsin–Madison, 480 Lincoln Dr., Madison, Wisconsin 53706
- MR Author ID: 627554
- Email: denissov@math.wisc.edu
- Received by editor(s): November 13, 2014
- Published electronically: November 20, 2015
- Additional Notes: The author’s research was supported by NSF grant DMS-1067413, RScF-14-21-00025, and by the IdEx Bordeaux Visiting Professor Scholarship (2014)
- Communicated by: Alexander Iosevich
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 1029-1039
- MSC (2010): Primary 42C05
- DOI: https://doi.org/10.1090/proc/12976
- MathSciNet review: 3447657