On zeros of polynomials orthogonal with respect to a quasi-definite inner product on the unit circle

DOI10.1007/BF02850838zbMath0841.42010OpenAlexW1980319208MaRDI QIDQ1897638

Jesús María Montaner, María Pilar Alfaro

Publication date: 4 September 1995

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02850838

zbMATH Keywords

orthogonal polynomialszerosToeplitz matricesquasi-definite linear functionals

Mathematics Subject Classification ID

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

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Cites Work

• On two theorems of M. G. Krein concerning polynomials orthogonal on the unit circle
• Solution of a problem of P. Turán on zeros of orthogonal polynomials on the unit circle
• On some open problems of approximation theory
• Orthogonal polynomials on the unit circle: distribution of zeros
• A class of orthogonal polynomials
• On the distribution of zeros of polynomials orthogonal on the unit circle
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• Maximum entropy and the moment problem
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