Universal polynomial expansions of harmonic functions

DOI10.1007/s11118-012-9303-zzbMath1271.31003OpenAlexW1985537595MaRDI QIDQ1949217

Myrto Manolaki

Publication date: 6 May 2013

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-012-9303-z

zbMATH Keywords

harmonic functionharmonic approximationuniversal serieshomogeneous harmonic polynomials

Mathematics Subject Classification ID

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

Related Items

Doubly universal Taylor series ⋮ Universal Laurent expansions of harmonic functions ⋮ Universal Taylor series on specific compact sets ⋮ Boundary behaviour of universal Taylor series ⋮ Taylor Series, Universality and Potential Theory ⋮ On the higher-dimensional harmonic analog of the Levinson \(\log\log\) theorem ⋮ Disjoint universality for families of Taylor-type operators ⋮ Overconvergence of polynomial expansions of harmonic functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ostrowski-type theorems for harmonic functions
• Universal overconvergence of polynomial expansions of harmonic functions
• Universal harmonic functions on the hyperbolic space
• ON POLYNOMIAL SEQUENCES WITH RESTRICTED GROWTH NEAR INFINITY
• UNIVERSAL APPROXIMATION PROPERTIES OF OVERCONVERGENT POWER SERIES ON OPEN SETS
• Logarithmic Convexity for Supremum Norms of Harmonic Functions
• Universal overconvergence of homogeneous expansions of harmonic functions
• Abstract theory of universal series and applications
• UNIVERSAL OVERCONVERGENCE AND OSTROWSKI-GAPS
• Power Series Expansions for Harmonic Functions
• Universality of Taylor series as a generic property of holomorphic functions