Power-series summability methods in de Branges-Rovnyak spaces

DOI10.1007/s00020-022-02698-0zbMath1500.40010arXiv2103.06631OpenAlexW3135097711WikidataQ114232087 ScholiaQ114232087MaRDI QIDQ2140263

Pierre-Olivier Parisé, Javad Mashreghi, Thomas Ransford

Publication date: 20 May 2022

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.06631

zbMATH Keywords

polynomial approximationsde Branges-Rovnyak spacessummability methodslogarithmic meansAbel meansBorel means

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by polynomials (41A10) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Abel, Borel and power series methods (40G10) Summability in abstract structures (40J05) Function-theoretic methods (including power series methods and semicontinuous methods) for summability (40C15)

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Cesaro summability of Taylor series in higher order weighted Dirichlet-type spaces

Cites Work

• Taylor coefficients and coefficient multipliers of Hardy and Bergman-type spaces
• Constructive approximation in de Branges-Rovnyak spaces
• De Branges-Rovnyak spaces and Dirichlet spaces
• Failure of approximation of odd functions by odd polynomials
• Linear polynomial approximation schemes in Banach holomorphic function spaces
• On the Relation between the Logarithmic and Borel-Type Summability Methods
• On Functional Transformations and Summability
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