Strong and weak convergence of orthogonal systems of rational functions on the unit circle

DOI10.1016/0377-0427(93)90038-DzbMath0785.42009MaRDI QIDQ1801857

Yanyan Li

Publication date: 21 March 1994

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

zbMATH Keywords

strong convergenceweak convergencerational functionsorthogonal systems

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items

Extensions of Szegö's theory of rational functions orthogonal on the unit circle ⋮ Convergence of orthogonal rational functions outside of the unit circle ⋮ Approximation based on orthogonal and almost orthogonal functions ⋮ The convergence properties of orthogonal rational functions on the extended real line and analytic on the upper half plane ⋮ Asymptotics for Orthogonal Rational Functions ⋮ On Orthogonal Polynomials with Respect to Varying Measures on the Unit Circle ⋮ On the convergence of rational functions orthogonal on the unit circle ⋮ Some Müntz orthogonal systems ⋮ On orthogonal systems of rational functions on the unit circle and polynomials orthogonal with respect to varying measures

Cites Work

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• Asymptotics of polynomials orthogonal with respect to varying measures
• On characterization theorems for measures associated with orthogonal systems of rational functions on the unit circle
• Characterization of measures associated with orthogonal polynomials on the unit circle
• On Nevai's characterization of measures with almost everywhere positive derivative
• A class of orthogonal polynomials
• Lossless inverse scattering, digital filters, and estimation theory
• Strong and Weak Convergence of Orthogonal Polynomials
• Positive multipoint Padé continued fractions
• On a generalized Szegö- Levinson realization algorithm for optimal linear predictors based on a network synthesis approach