On the convergence of rational functions orthogonal on the unit circle

DOI10.1016/S0377-0427(96)00116-1zbMath0866.42015OpenAlexW2011877209MaRDI QIDQ5961664

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Publication date: 7 July 1997

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(96)00116-1

zbMATH Keywords

asymptoticsorthogonal rational functionsSzegö polynomialsSzegö theory

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by rational functions (41A20)

Related Items (5)

Modified Moments and Orthogonal Rational Functions ⋮ Wall rational functions and Khrushchev's formula for orthogonal rational functions ⋮ Multipoint Schur algorithm and orthogonal rational functions. I: Convergence properties ⋮ The convergence properties of orthogonal rational functions on the extended real line and analytic on the upper half plane ⋮ Some Müntz orthogonal systems

Cites Work

• A Favard theorem for orthogonal rational functions on the unit circle
• The computation of orthogonal rational functions and their interpolating properties
• Moment problems and orthogonal functions
• Strong and weak convergence of orthogonal systems of rational functions on the unit circle
• Orthogonal rational functions and tridiagonal matrices
• On certain properties of motion in the presence of gyroscopic forces
• Schur recursions, error formulas, and convergence of rational estimators for stationary stochastic sequences
• Strong and Weak Convergence of Rational Functions Orthogonal on the Circle
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