Universal functions on nonsimply connected domains

DOI10.5802/aif.1865zbMath0989.30003OpenAlexW2461861979MaRDI QIDQ5956579

Antonios D. Melas

Publication date: 21 February 2002

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

Full work available at URL: http://www.numdam.org/item?id=AIF_2001__51_6_1539_0

zbMATH Keywords

power seriesholomorphic functionuniversal function

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (20)

Non-normality, topological transitivity and expanding families ⋮ Universal Laurent series on domains of infinite connectivity ⋮ On the behaviour of power series in the absence of Hadamard-Ostrowski gaps ⋮ Universal Laurent expansions of harmonic functions ⋮ Universality and Cesàro summability ⋮ Universal functions as series of rational functions ⋮ Interpolation by universal, hypercyclic functions ⋮ Existence of universal Taylor series for nonsimply connected domains ⋮ Determination of a universal series ⋮ Taylor Series, Universality and Potential Theory ⋮ Boundary behaviour of universal Taylor series on~multiply connected domains ⋮ Universality properties of Taylor series inside the domain of holomorphy ⋮ Universal Taylor series for non-simply connected domains ⋮ Universal Taylor series on doubly connected domains with respect to every center ⋮ Construction of a universal Laurent series ⋮ Universal Faber series with Hadamard-Ostrowski gaps ⋮ A convergence theorem for harmonic measures with applications to Taylor series ⋮ Smooth universal Taylor series on doubly connected domains ⋮ Universal Taylor series on arbitrary planar domains ⋮ Potential theory and approximation: highlights from the scientific work of Stephen Gardiner

Cites Work

• Unnamed Item
• Universal Taylor series
• Baire's category theorem and trigonometric series
• A Universal Taylor Series in the Doubly Connected Domain C\{1}
• UNIVERSAL APPROXIMATION PROPERTIES OF OVERCONVERGENT POWER SERIES ON OPEN SETS
• Universal families and hypercyclic operators
• Some remarks on universal functions and Taylor series
• Universality of Taylor series as a generic property of holomorphic functions

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