Moment problems and orthogonal functions

DOI10.1016/0377-0427(93)90315-3zbMath0795.33003OpenAlexW2071081531MaRDI QIDQ1318443

Olav Njåstad, Adhemar Bultheel, Pablo González-Vera, Erik Hendriksen

Publication date: 27 April 1994

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(93)90315-3

zbMATH Keywords

orthogonal rational functionsNevanlinna-Pick problem

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) Moment problems and interpolation problems in the complex plane (30E05)

Related Items

On the convergence of the rational interpolation approximant of Carathéodory functions, Favard theorem for reproducing kernels, Convergence of modified approximants associated with orthogonal rational functions, Orthogonal rational functions and nested disks, Asymptotic behavior of orthogonal rational functions corresponding to measure with discrete part off the unit circle, On the orthogonal rational functions with arbitrary poles and interpolation properties, Moment problem for rational orthogonal functions on the unit circle, Orthogonal rational functions and modified approximants, Extensions of Szegö's theory of rational functions orthogonal on the unit circle, Convergence of orthogonal rational functions outside of the unit circle, On a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case. II, Rates of convergence of multipoint rational approximants and quadrature formulas on the unit circle, More on a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case, Asymptotics for Orthogonal Rational Functions, On the convergence of rational functions orthogonal on the unit circle, On maximal weight solutions of two matricial moment problems in the nondegenerate case, Some Müntz orthogonal systems, Foreword to the proceedings of the OrthoQuad 2014 conference, On Canonical Solutions of a Moment Problem for Rational Matrix-valued Functions

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