Doubly universal Taylor series

DOI10.1016/j.jat.2013.12.006zbMath1290.41009OpenAlexW2008260986MaRDI QIDQ2637500

George Costakis, Nikolaos Tsirivas

Publication date: 12 February 2014

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2013.12.006

zbMATH Keywords

universal Taylor seriesdegree of approximationdouble universalityWalsh-Bernstein theorem

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items (14)

Simultaneous universality ⋮ Disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators ⋮ Interpolation property for hypercyclic elements of the Taylor shift operator ⋮ Abel universal functions ⋮ On doubly universal functions ⋮ Universal Taylor series on specific compact sets ⋮ Taylor Series, Universality and Potential Theory ⋮ On countably universal series in the complex plane ⋮ Disjoint universality connected with differential operators ⋮ Holomorphic functions with universal boundary behaviour ⋮ Doubly universal Taylor series on simply connected domains ⋮ Universal Taylor series with respect to a prescribed subsequence ⋮ Universal Taylor series without Baire and the influence of J.-P. Kahane ⋮ Disjoint universality for families of Taylor-type operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Disjoint mixing operators
• Universal Taylor series, conformal mappings and boundary behaviour
• Linear chaos
• A generalization of universal Taylor series in simply connected domains
• Universal Taylor series
• Overconvergent series of rational functions and universal Laurent series
• Universal Taylor series for non-simply connected domains
• Topological dynamics and combinatorial number theory
• Multiply universal holomorphic functions
• Universal overconvergence of polynomial expansions of harmonic functions
• Universal polynomial expansions of harmonic functions
• Existence of universal Taylor series for nonsimply connected domains
• Approximation by overconvergence of a power series
• Disjointness in hypercyclicity
• ON POLYNOMIAL SEQUENCES WITH RESTRICTED GROWTH NEAR INFINITY
• UNIVERSAL APPROXIMATION PROPERTIES OF OVERCONVERGENT POWER SERIES ON OPEN SETS
• Boundary behaviour of functions which possess universal Taylor series
• Disjoint hypercyclic operators
• Universal overconvergence of homogeneous expansions of harmonic functions
• Abstract theory of universal series and applications
• UNIVERSAL OVERCONVERGENCE AND OSTROWSKI-GAPS
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

This page was built for publication: Doubly universal Taylor series