Uniform approximation by meromorphic functions having prescribed poles

DOI10.1007/BF01420209zbMath0393.30031MaRDI QIDQ1252445

Stephen Scheinberg

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182803

zbMATH Keywords

Riemann SurfaceUniform Approximation Meromorphic Functions

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Approximation in the complex plane (30E10) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (11)

Simultaneous approximation on two subsets of an open Riemann surface ⋮ Uniform harmonic approximation on Riemannian manifolds ⋮ Uniform approximation in the spherical distance by functions meromorphic on Riemann surfaces ⋮ Uniform approximation by complete minimal surfaces of finite total curvature in ℝ³ ⋮ Approximation by harmonic functions of closed subsets of Riemann surfaces ⋮ On a characterization of Arakelian sets ⋮ Exotic minimal surfaces ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ The spectrum and eigenspaces of a meromorphic operator-valued function ⋮ Analytic knots, satellites and the 4-ball genus ⋮ Uniform approximation by meromorphic functions on Riemann surfaces

Cites Work

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• The structure of certain measures
• Subalgebras of functions on a Riemann surface
• Boundary measures of analytic differentials
• Uniform approximation by functions analytic on a Riemann surface
• Boundary measures of analytic differentials and uniform approximation on a Riemann surface
• Entwicklung analytischer Funktionen auf Riemannschen Flächen
• Uniform And Tangential Approximations By Meromorphic Functions on Closed Sets

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