The growth of polynomials orthogonal on the unit circle with respect to a weight $w$ that satisfies $w,w^{-1}\in L^\infty( {\mathbb{T}})$

DOI10.1070/SM8876zbMath1405.42048arXiv1611.00267OpenAlexW2768486195MaRDI QIDQ4684230

Sergey A. Denisov

Publication date: 27 September 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00267

zbMATH Keywords

Steklov's conjecturepolynomials orthogonal on the circle

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (3)

On Schur parameters in Steklov's problem ⋮ Randomized Verblunsky parameters in Steklov's problem ⋮ Mate-Nevai-Totik theorem for Krein systems

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• ON STEKLOV'S CONJECTURE IN THE THEORY OF ORTHOGONAL POLYNOMIALS
• ESTIMATES OF THE GROWTH OF ORTHOGONAL POLYNOMIALS WHOSE WEIGHT IS BOUNDED AWAY FROM ZERO
• ON THE POSSIBLE RATE OF GROWTH OF POLYNOMIALS ORTHOGONAL WITH A CONTINUOUS POSITIVE WEIGHT
• On a problem by Steklov

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