Moment problem for rational orthogonal functions on the unit circle

DOI10.1216/rmjm/1181071960zbMath0881.42019OpenAlexW2169737009MaRDI QIDQ1364291

O. Diekmann

Publication date: 25 August 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/VOL27-1/CONT27-1/CONT27-1.html

zbMATH Keywords

recurrence relationorthogonal rational functionsorthogonal functionsFavard-type theorem

Mathematics Subject Classification ID

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

Cites Work

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• A Favard theorem for orthogonal rational functions on the unit circle
• Solution of a problem of P. Turán on zeros of orthogonal polynomials on the unit circle
• On some open problems of approximation theory
• The computation of orthogonal rational functions and their interpolating properties
• Moment problems and orthogonal functions
• Schur recursions, error formulas, and convergence of rational estimators for stationary stochastic sequences
• Asymptotics for Orthogonal Rational Functions