Convergence of orthogonal rational functions outside of the unit circle

DOI10.1016/0377-0427(95)00046-1zbMath0856.42016OpenAlexW1988769103MaRDI QIDQ1919490

Yanyan Li

Publication date: 23 July 1996

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

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00046-1

zbMATH Keywords

orthogonal rational functionslimit relationsSzegö's condition

Mathematics Subject Classification ID

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

Related Items (3)

Modified Moments and Orthogonal Rational Functions ⋮ Convergence of orthogonal rational functions outside of the unit circle ⋮ Some Müntz orthogonal systems

Cites Work

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• 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
• Extensions of Szegö's theory of rational functions orthogonal on the unit circle
• Convergence of orthogonal rational functions outside of the unit circle
• Schur recursions, error formulas, and convergence of rational estimators for stationary stochastic sequences
• ORTHOGONAL RATIONAL FUNCTIONS AND INTERPOLATORY PRODUCT RULES ON THE UNIT CIRCLE
• Strong and Weak Convergence of Rational Functions Orthogonal on the Circle

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