On uniform boundedness and uniform asymptotics for orthogonal polynomials on the unit circle

DOI10.1006/jmaa.1997.5841zbMath0912.42013OpenAlexW1980692844MaRDI QIDQ1270851

Boris Golinskii, Leonid B. Golinskii

Publication date: 27 April 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5841

zbMATH Keywords

uniform boundednessunit circleorthonormal polynomialsuniform asymptotics

Mathematics Subject Classification ID

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

Related Items (1)

Asymptotic behaviour of Verblunsky coefficients

Cites Work

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• On two basic conditions for the asymptotic representation of polynomials on the unit circle
• Perturbation of orthogonal polynomials on an arc of the unit circle
• A class of orthogonal polynomials
• ON THE POSSIBLE RATE OF GROWTH OF POLYNOMIALS ORTHOGONAL WITH A CONTINUOUS POSITIVE WEIGHT
• Subsequences of the partial sums of a trigonometric series which are everywhere convergent to zero
• A Convergence Equivalence Related to Polynomials Orthogonal on the Unit Circle

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