Perturbation of orthogonal polynomials on an arc of the unit circle. II

DOI10.1006/jath.1998.3208zbMath0958.42016OpenAlexW2045983151MaRDI QIDQ1279877

Ferenc Pintér, Paul G. Nevai, Leonid B. Golinskii, Walter Van Assche

Publication date: 9 April 2001

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1998.3208

zbMATH Keywords

perturbationsunit circlereflection coefficientsSzegő recurrencesSzegő orthogonal polynomials

Mathematics Subject Classification ID

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

Related Items (10)

Otto Blumenthal (1876--1944) in retrospect ⋮ Freud equations for Legendre polynomials on a circular arc and solution of the Grünbaum-Delsarte-Janssen-Vries problem. ⋮ Verblunsky coefficients related with periodic real sequences and associated measures on the unit circle ⋮ Spectral transformations for Hermitian Toeplitz matrices ⋮ Universality at an endpoint for orthogonal polynomials with Geronimus-type weights ⋮ Mass points of measures and orthogonal polynomials on the unit circle ⋮ Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure ⋮ Asymptotics for polynomial zeros: Beware of predictions from plots ⋮ Commutation relations for unitary operators. II ⋮ Para-orthogonal polynomials from constant Verblunsky coefficients

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