A Note on the Density of Rational Functions in A ∞(Ω)

DOI10.1007/978-1-4939-7543-3_2zbMath1417.30031OpenAlexW2795099616MaRDI QIDQ4625739

Ilias Zadik, Javier Falcó, Vassilis Nestoridis

Publication date: 25 February 2019

Published in: Fields Institute Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-7543-3_2

zbMATH Keywords

approximation by rational functionsFréchet algebra of holomorphic functions

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Algebras of analytic functions of one complex variable (30H50)

Cites Work

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• Universal Padé approximants of Seleznev type
• Padé approximants, density of rational functions in \(A^\infty(\varOmega)\) and smoothness of the integration operator
• Density of polynomials in classes of functions on products of planar domains
• A Runge type theorem for product of planar domains
• UNIVERSAL LAURENT SERIES
• Universal Taylor series on unbounded open sets
• Rational approximation on $A^{\infty }(\varOmega )$