Asymptotic behavior of orthogonal rational functions corresponding to measure with discrete part off the unit circle

DOI10.1216/rmjm/1181072002zbMath0878.42013OpenAlexW2036870486MaRDI QIDQ1360213

O. Diekmann

Publication date: 20 November 1997

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL26-4/CONT26-4/CONT26-4.html

zbMATH Keywords

orthogonal rational functionsrelative asymptotics

Mathematics Subject Classification ID

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

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
• Extensions of Szegö's theory of rational functions orthogonal on the unit circle
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS AND CONVERGENCE OF MULTIPOINT PADÉ APPROXIMANTS
• CONVERGENCE OF PADÉ APPROXIMANTS OF STIELTJES TYPE MEROMORPHIC FUNCTIONS AND COMPARATIVE ASYMPTOTICS FOR ORTHOGONAL POLYNOMIALS
• 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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