Overconvergence of polynomial expansions of harmonic functions

DOI10.1080/17476933.2019.1627526zbMath1439.31004OpenAlexW2955996314WikidataQ127675479 ScholiaQ127675479MaRDI QIDQ4960395

Mayya Golitsyna

Publication date: 15 April 2020

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

Full work available at URL: https://doi.org/10.1080/17476933.2019.1627526

zbMATH Keywords

universal functionsharmonic functionsOstrowski gapshomogeneous polynomial expansions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Cites Work

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• Ostrowski-type theorems for harmonic functions
• Sets in \(\mathbb C^N\) with vanishing global extremal function and polynomial approximation
• Universal Taylor series for non-simply connected domains
• Universal Laurent expansions of harmonic functions
• Universal overconvergence of polynomial expansions of harmonic functions
• Universal polynomial expansions of harmonic functions
• Existence of universal Taylor series for nonsimply connected domains
• ON POLYNOMIAL SEQUENCES WITH RESTRICTED GROWTH NEAR INFINITY
• Universal overconvergence and Ostrowski gaps for holomorphic functions of several variables
• Universal overconvergence of homogeneous expansions of harmonic functions
• UNIVERSAL OVERCONVERGENCE AND OSTROWSKI-GAPS
• Universality of Taylor series as a generic property of holomorphic functions

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