Universal functions are automatically universal in the sense of Menchoff

DOI10.1080/17476930600961954zbMath1221.30085OpenAlexW2162924306MaRDI QIDQ5297062

George Koumoullis, Vassilis Nestoridis, Wolfgang Luh

Publication date: 18 July 2007

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930600961954

zbMATH Keywords

universal functionsgeneric propertyhypercyclic operatoruniversal trigonometric seriesalmost everywhere approximation

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15) Cyclic vectors, hypercyclic and chaotic operators (47A16) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (7)

Universal Padé approximants of Seleznev type ⋮ Lineability of universal divergence of Fourier series ⋮ Determination of a universal series ⋮ Universal Padé approximants with respect to the chordal metric ⋮ Universality and summability of Dirichlet series ⋮ Extended abstract theory of universal series and applications ⋮ Universal Taylor series on arbitrary planar domains

Cites Work

• Unnamed Item
• Universal Taylor series
• Holomorphic monsters
• Baire's category theorem and trigonometric series
• Universal overconvergence of polynomial expansions of harmonic functions
• Approximation by antiderivatives
• Approximation by overconvergence of a power series
• Universal families and hypercyclic operators
• UNIVERSAL OVERCONVERGENCE AND OSTROWSKI-GAPS
• An Introduction to Measure and Probability
• Universality of Taylor series as a generic property of holomorphic functions

This page was built for publication: Universal functions are automatically universal in the sense of Menchoff