Extensions of Szegö's theory of rational functions orthogonal on the unit circle

DOI10.1016/0377-0427(94)00107-XzbMath0852.42010MaRDI QIDQ1917833

Yanyan Li

Publication date: 8 December 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptoticsorthogonal rational functionsSzegö polynomialsSzegö theory

Mathematics Subject Classification ID

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

Related Items (6)

Modified Moments and Orthogonal Rational Functions ⋮ Asymptotic behavior of orthogonal rational functions corresponding to measure with discrete part off the unit circle ⋮ Convergence of orthogonal rational functions outside of the unit circle ⋮ The convergence properties of orthogonal rational functions on the extended real line and analytic on the upper half plane ⋮ Rates of convergence of multipoint rational approximants and quadrature formulas on the unit circle ⋮ Some Müntz orthogonal systems

Cites Work

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• A Favard theorem for orthogonal rational functions on the unit circle
• Asymptotics of polynomials orthogonal with respect to varying measures
• The computation of orthogonal rational functions and their interpolating properties
• On orthogonal systems of rational functions on the unit circle and polynomials orthogonal with respect to varying measures
• Moment problems and orthogonal functions
• Moment problem for rational orthogonal functions on the unit circle
• Strong and weak convergence of orthogonal systems of rational functions on the unit circle
• Orthogonal rational functions and tridiagonal matrices
• Schur recursions, error formulas, and convergence of rational estimators for stationary stochastic sequences
• Asymptotics for Orthogonal Rational Functions

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