On a problem by Steklov

DOI10.1090/JAMS/853zbMath1348.42024arXiv1402.1145OpenAlexW2208974626MaRDI QIDQ5741447

Alexander I. Aptekarev, D. N. Toulyakov, Sergey A. Denisov

Publication date: 25 July 2016

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1145

zbMATH Keywords

variational problemsorthogonal polynomials on the unit circleSteklov problemSteklov class of measures

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (10)

On the Christoffel function for the generalized Jacobi measures on a quasidisk ⋮ Asymptotics for orthogonal polynomials and separation of their zeros ⋮ Orthogonal polynomials on the circle for the weight \(w\) satisfying conditions \(w,w^{-1}\in \mathrm{BMO}\) ⋮ On Schur parameters in Steklov's problem ⋮ On recurrence coefficients of Steklov measures ⋮ The growth of polynomials orthogonal on the unit circle with respect to a weight $w$ that satisfies $w,w^{-1}\in L^\infty( {\mathbb{T}})$ ⋮ Randomized Verblunsky parameters in Steklov's problem ⋮ Entropy function and orthogonal polynomials ⋮ Bounds on orthogonal polynomials and separation of their zeros ⋮ Remark on the formula by Rakhmanov and Steklov's conjecture

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