Approximation by harmonic functions of closed subsets of Riemann surfaces
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Publication:1119775
DOI10.1007/BF02791126zbMath0671.30037OpenAlexW2050056620MaRDI QIDQ1119775
Thomas Bagby, Paul M. Gauthier
Publication date: 1988
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02791126
Related Items
Uniform harmonic approximation on Riemannian manifolds ⋮ 𝐿𝑖𝑝𝛼 harmonic approximation on closed sets ⋮ Submanifolds that are level sets of solutions to a second-order elliptic PDE ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ A Characterization of Harmonic Arakelyan Sets ⋮ Best Uniform Approximation by Solutions of Elliptic Differential Equations ⋮ Knots and links in steady solutions of the Euler equation ⋮ Solving Laplace Problems with Corner Singularities via Rational Functions ⋮ Best uniform approximation by harmonic functions on subsets of Riemannian manifolds
Cites Work
- Carleman approximation on Riemann surfaces
- Potentiel fin et algèbres de fonctions analytiques. I
- Simplicial cones in potential theory
- Uniform approximation by meromorphic functions having prescribed poles
- Thin sets in nonlinear potential theory
- A uniqueness theorem for harmonic functions on Riemann surfaces
- A Runge Theorem for Harmonic Functions on Closed Subsets of Riemann Surfaces
- Uniform Approximation on Unbounded Sets by Harmonic Functions with Logarithmic Singularities
- Approximation Harmonique Sur Les Surfaces de Riemann
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