Existence of universal Taylor series for nonsimply connected domains

DOI10.1007/s00365-011-9133-zzbMath1266.30002OpenAlexW1996732144MaRDI QIDQ2428576

Stephen J. Gardiner

Publication date: 26 April 2012

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10197/3842

zbMATH Keywords

Taylor serieslogarithmic capacityoverconvergenceuniversal approximationthin set

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items

Non-normality, topological transitivity and expanding families ⋮ Doubly universal Taylor series ⋮ On the behaviour of power series in the absence of Hadamard-Ostrowski gaps ⋮ Universal Taylor series on specific compact sets ⋮ Taylor Series, Universality and Potential Theory ⋮ Boundary behaviour of universal Taylor series on~multiply connected domains ⋮ Mixing Taylor shifts and universal Taylor series ⋮ Disjoint universality for families of Taylor-type operators ⋮ Smooth universal Taylor series on doubly connected domains ⋮ Overconvergence properties of Dirichlet series ⋮ Overconvergence of polynomial expansions of harmonic functions

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