Construction of rational interpolations using Mamquist-Takenaka systems

DOI10.33205/CMA.1251068zbMath1524.42052OpenAlexW4323848662MaRDI QIDQ6167441

Ferenc Weisz, Zsuzsanna Nagy-Csiha, Margit Pap

Publication date: 10 July 2023

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.1251068

zbMATH Keywords

rational interpolationHardy spacesMalmquist-Takenaka systemsdiscrete biorthogonality

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical interpolation (65D05) Numerical differentiation (65D25) Discrete potential theory (31C20) Hardy spaces (30H10) Blaschke products (30J10)

Cites Work

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• Discrete orthogonality of the Malmquist Takenaka system of the upper half plane and rational interpolation
• Hyperbolic wavelets and multiresolution in \(H^{2}(\mathbb{T})\)
• Equilibrium conditions for the Malmquist-Takenaka systems
• BIORTHOGONAL SYSTEMS OF RATIONAL FUNCTIONS AND BEST APPROXIMATION OF THE CAUCHY KERNEL ON THE REAL AXIS
• Barycentric Lagrange Interpolation
• Minimal Energy Point Systems on the Unit Circle and the Real Line

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