Verblunsky coefficients related with periodic real sequences and associated measures on the unit circle

DOI10.1016/j.jmaa.2016.08.009zbMath1373.60012OpenAlexW2516340143MaRDI QIDQ323857

Cleonice F. Bracciali, Jairo S. Silva, Daniel O. Veronese, A. Sri Ranga

Publication date: 10 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.08.009

zbMATH Keywords

probability measureschain sequencesperiodic real sequencesperiodic Verblunsky coefficients

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spaces of measures, convergence of measures (28A33) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

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• Orthogonal polynomials on the unit circle and chain sequences
• Orthogonal polynomials on the unit circle: Verblunsky coefficients with some restrictions imposed on a pair of related real sequences
• Perturbation of orthogonal polynomials on an arc of the unit circle. II
• Ratio asymptotics for polynomials orthogonal on arcs on the unit circle
• Asymptotic behaviour of orthogonal polynomials on the unit circle with asymptotically periodic reflection coefficients
• Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure
• Perturbation of orthogonal polynomials on an arc of the unit circle
• Orthogonal polynomials on arcs of the unit circle. I
• A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula
• Para-orthogonal polynomials from constant Verblunsky coefficients
• A class of orthogonal functions given by a three term recurrence formula
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• Orthogonal polynomials
• Zeros of a family of hypergeometric para‐orthogonal polynomials on the unit circle

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