A Runge Theorem for Harmonic Functions on Closed Subsets of Riemann Surfaces

DOI10.2307/2047545zbMath0656.31001OpenAlexW4250284534MaRDI QIDQ3803410

Thomas Bagby

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047545

zbMATH Keywords

Riemann surfacepolesharmonicRunge's theoremuniformly approximated

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Harmonic functions on Riemann surfaces (30F15)

Related Items

Uniform harmonic approximation on Riemannian manifolds ⋮ Approximation by harmonic functions of closed subsets of Riemann surfaces ⋮ Submanifolds that are level sets of solutions to a second-order elliptic PDE

Cites Work

• Uniform Approximation on Unbounded Sets by Harmonic Functions with Logarithmic Singularities
• Approximation Harmonique Sur Les Surfaces de Riemann
• Uniform approximation on closed sets by solutions of elliptic partial differential equations
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