Some remarks on abstract universal series

DOI10.1016/j.jmaa.2011.09.047zbMath1266.30050OpenAlexW1982949485MaRDI QIDQ655494

Christos Papachristodoulos, Vassilis Nestoridis, Ioanna Kyrezi

Publication date: 4 January 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.09.047

zbMATH Keywords

Taylor seriesgeneric propertyuniversal seriesupper densityabstract theory of universal seriesBaire's category theoremlower density

Mathematics Subject Classification ID

Universal Taylor series in one complex variable (30K05) Universal holomorphic functions of one complex variable (30Kxx)

Related Items (4)

ON THE FREQUENT UNIVERSALITY OF UNIVERSAL TAYLOR SERIES IN THE COMPLEX PLANE ⋮ On random frequent universality ⋮ Upper frequent hypercyclicity and related notions ⋮ Frequently dense harmonic functions and universal martingales on trees

Cites Work

• Baire's category theorem and trigonometric series
• Abstract theory of universal series and an application to Dirichlet series
• On the existence of O-universal functions
• UPPER AND LOWER FREQUENTLY UNIVERSAL SERIES
• UNIVERSAL APPROXIMATION PROPERTIES OF OVERCONVERGENT POWER SERIES ON OPEN SETS
• Universal families and hypercyclic operators
• Abstract theory of universal series and applications
• UNIVERSAL OVERCONVERGENCE AND OSTROWSKI-GAPS
• Universality of Taylor series as a generic property of holomorphic functions

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