Universal overconvergence of homogeneous expansions of harmonic functions

DOI10.1524/ANLY.2006.26.99.287zbMath1132.31002OpenAlexW2000889913MaRDI QIDQ5437289

Innocent Tamptse, Paul M. Gauthier

Publication date: 18 January 2008

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2006.26.99.287

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Approximation by polynomials (41A10)

Related Items (7)

Doubly universal Taylor series ⋮ Universal Laurent expansions of harmonic functions ⋮ Universal polynomial expansions of harmonic functions ⋮ Boundary behaviour of universal Taylor series ⋮ Taylor Series, Universality and Potential Theory ⋮ On the higher-dimensional harmonic analog of the Levinson \(\log\log\) theorem ⋮ Overconvergence of polynomial expansions of harmonic functions

Cites Work

• Universal overconvergence of polynomial expansions of harmonic functions
• Approximation by overconvergence of a power series
• Universality of Taylor series as a generic property of holomorphic functions

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