Orthogonal rational functions with poles on the unit circle

DOI10.1006/jmaa.1994.1077zbMath0796.33003OpenAlexW2050409930MaRDI QIDQ1323208

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

Publication date: 25 September 1994

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://dare.uva.nl/personal/pure/en/publications/orthogonal-rational-functions-with-poles-on-the-unit-circle(060d9e7e-0a79-4968-9f00-2383b8b50df5).html

zbMATH Keywords

moment problemquadrature formulasorthogonal rational functionsinterpolation by rational functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximation by rational functions (41A20) Polynomials and rational functions of one complex variable (30C10)

Related Items (16)

Orthogonal rational functions and tridiagonal matrices ⋮ Growth properties of Nevanlinna matrices for rational moment problems ⋮ Positivity of continued fractions associated with rational Stieltjes moment problems ⋮ Biorthogonal rational functions of $R_{II}$-type ⋮ Quadrature and orthogonal rational functions ⋮ Determinacy of a rational moment problem ⋮ Asymptotics for Orthogonal Rational Functions ⋮ Rational functions with a general distribution of poles on the real line orthogonal with respect to varying exponential weights. I ⋮ Mellin-type differential equations and associated sampling expansions ⋮ Mellin-type differential equations and associated sampling expansions ⋮ Rational wavelets on the real line ⋮ Regularity of orthogonal rational functions with poles on the unit circle ⋮ Foreword to the proceedings of the OrthoQuad 2014 conference ⋮ Holomorphic functions associated with indeterminate rational moment problems ⋮ A rational Stieltjes moment problem. ⋮ Moment problems and orthogonal functions

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