A Runge theorem for harmonic functions on closed subsets of Riemann surfaces-Reference-Cited by-同舟云学术

A Runge theorem for harmonic functions on closed subsets of Riemann surfaces

Published:1988 Issue:1 Volume:103 Page:160-164
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bagby Thomas

Abstract

Let F F be a closed subset of a Riemann surface Ω \Omega . It is shown that every function which is harmonic on a neighborhood of F F can be uniformly approximated on F F by functions which are harmonic on Ω \Omega except for poles.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-103-01/S0002-9939-1988-0938662-7/S0002-9939-1988-0938662-7.pdf

Reference7 articles.

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3. Uniform approximation on unbounded sets by harmonic functions with logarithmic singularities;Gauthier, P. M.;Trans. Amer. Math. Soc.,1980

4. Uniform approximation on closed sets by functions analytic on a Riemann surface;Gauthier, P. M.,1975

5. S\'{e}minaire de Math\'{e}matiques Sup\'{e}rieures [Seminar on Higher Mathematics];Gauthier, Paul M.,1982

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