Universal Taylor series have a strong form of universality

DOI10.1007/s11854-008-0017-5zbMath1156.30003OpenAlexW2070216539MaRDI QIDQ940785

Frederic Bayart, Vassilis Nestoridis

Publication date: 3 September 2008

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-008-0017-5

zbMATH Keywords

overconvergenceFaber seriesuniversal overconvergence

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Boundary behavior of power series in one complex variable; over-convergence (30B30) Analytic continuation of functions of one complex variable (30B40)

Related Items

Determination of a universal series ⋮ Universal Faber series with Hadamard-Ostrowski gaps ⋮ Universal Taylor series on arbitrary planar domains ⋮ Pointwise universal trigonometric series ⋮ Linear subsets of nonlinear sets in topological vector spaces

Cites Work

• Universal covering maps for variable regions
• Approximation by overconvergence of a power series
• Faber series with Ostrowski gaps
• A STRONG NOTION OF UNIVERSAL TAYLOR SERIES
• UNIVERSAL OVERCONVERGENCE AND OSTROWSKI-GAPS
• Universality of Taylor series as a generic property of holomorphic functions
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