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

Denisov, S.

doi:10.1090/proc/12976

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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Proc. Amer. Math. Soc. 144 (2016), 1029-1039 Request permission

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.

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