Spurious limit functions of Taylor series

DOI10.1007/s13324-019-00322-wzbMath1429.30057OpenAlexW2944933401MaRDI QIDQ2318071

Yanyan Li

Publication date: 13 August 2019

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

Full work available at URL: https://doi.org/10.1007/s13324-019-00322-w

zbMATH Keywords

universal functionsboundary behaviournontangential limits

Mathematics Subject Classification ID

Boundary behavior of power series in one complex variable; over-convergence (30B30) Hardy spaces (30H10) Universal Taylor series in one complex variable (30K05)

Related Items (3)

Universal radial approximation in spaces of analytic functions ⋮ Generic Boundary Behaviour of Taylor Series in Banach Spaces of Holomorphic Functions ⋮ Simultaneous zero-free approximation and universal optimal polynomial approximants

Cites Work

• Generic boundary behaviour of Taylor series in Hardy and Bergman spaces
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• Über die Summierbarkeit beschränkter und stetiger Potenzreihen an der Konvergenzgrenze
• A convergence theorem for harmonic measures with applications to Taylor series
• The Elements of Cantor Sets
• The Structure of the Real Line
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• On Lacunary Trigonometric Series
• Taylor Series, Universality and Potential Theory
• Mixing Taylor shifts and universal Taylor series
• Universally divergent Fourier series via Landau's extremal functions
• A Primer on the Dirichlet Space
• Abstract theory of universal series and applications
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