Favard theorem for reproducing kernels

DOI10.1016/0377-0427(93)E0234-DzbMath0851.30001MaRDI QIDQ1893567

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

Publication date: 4 July 1995

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

zbMATH Keywords

orthogonal rational functionsreproducing kernelFavard theorem

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (1)

Foreword to the proceedings of the OrthoQuad 2014 conference

Cites Work

• A Favard theorem for orthogonal rational functions on the unit circle
• A moment problem associated to rational Szegö functions
• Orthogonal rational functions and quadrature on the unit circle
• The computation of orthogonal rational functions and their interpolating properties
• Moment problems and orthogonal functions
• Orthogonal rational functions and tridiagonal matrices
• Lossless inverse scattering, digital filters, and estimation theory
• On the role of the Nevanlinna–Pick problem in circuit and system theory
• Schur recursions, error formulas, and convergence of rational estimators for stationary stochastic sequences
• On a generalized Szegö- Levinson realization algorithm for optimal linear predictors based on a network synthesis approach
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