Universal Faber and Taylor series on an unbounded domain of infinite connectivity

DOI10.1080/17476933.2010.504832zbMath1223.30020OpenAlexW1966240738MaRDI QIDQ3013913

Nikolaos Tsirivas

Publication date: 19 July 2011

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2010.504832

zbMATH Keywords

universal Taylor seriesFaber seriesBaire's theoremalgebraic genericityRunge's approximation theorem

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Boundary behavior of power series in one complex variable; over-convergence (30B30) Universal Taylor series in one complex variable (30K05)

Related Items (11)

Universal Laurent series on domains of infinite connectivity ⋮ Replies to the comments on ``Faber series method for plane problems of an arbitrarily shaped inclusion ⋮ Universality and Cesàro summability ⋮ Universal functions as series of rational functions ⋮ Interpolation by universal, hypercyclic functions ⋮ Determination of a universal series ⋮ A General Lower Bound for the Asymptotic Convergence Factor ⋮ Mixing Taylor shifts and universal Taylor series ⋮ Universal Taylor series for non-simply connected domains ⋮ Universal Faber series with Hadamard-Ostrowski gaps ⋮ Universal Taylor series on arbitrary planar domains

Cites Work

• Universal Taylor series on doubly connected domains with respect to every center
• Boundedness, regularity and smoothness of universal Taylor series
• Universal Taylor series on doubly connected domains
• Baire's category theorem and trigonometric series
• Approximation by overconvergence of a power series
• On the existence of O-universal functions
• UNIVERSAL TAYLOR SERIES ON GENERAL DOUBLY CONNECTED DOMAINS
• Universal families and hypercyclic operators
• Densely hereditarily hypercyclic sequences and large hypercyclic manifolds
• Faber series with Ostrowski gaps
• A STRONG NOTION OF UNIVERSAL TAYLOR SERIES
• Some remarks on universal functions and Taylor series
• Universal Taylor series on non-simply connected domains
• Abstract theory of universal series and applications

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