Universal Taylor series, conformal mappings and boundary behaviour

DOI10.5802/aif.2849zbMath1310.30050arXiv1301.2082OpenAlexW3021407336MaRDI QIDQ486753

Stephen J. Gardiner

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2082

zbMATH Keywords

conformal mappingsuniversal Taylor seriesangular boundary behavior

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) Universal Taylor series in one complex variable (30K05)

Related Items (14)

Universal radial approximation in spaces of analytic functions ⋮ Doubly universal Taylor series ⋮ Simultaneous zero-free approximation and universal optimal polynomial approximants ⋮ Universal Taylor series on specific compact sets ⋮ A strong form of Plessner's theorem ⋮ Taylor Series, Universality and Potential Theory ⋮ Boundary behaviour of universal Taylor series on~multiply connected domains ⋮ On countably universal series in the complex plane ⋮ On the boundary behaviour of derivatives of functions in the disc algebra ⋮ A convergence theorem for harmonic measures with applications to Taylor series ⋮ Universal Taylor series without Baire and the influence of J.-P. Kahane ⋮ Disjoint universality for families of Taylor-type operators ⋮ One-sided extendability of bounded functions ⋮ Boundary behaviour of Dirichlet series with applications to universal series

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