Geodesic
Bishop-Runge approximations and inversion of a~Riemann-Klein theorem
Sbornik. Mathematics, Tome 206 (2015) no. 2, pp. 311-332

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In this paper we give results about projective embeddings of Riemann surfaces, smooth or nodal, which we apply to the inverse Dirichlet-to-Neumann problem and to the inversion of a Riemann-Klein theorem. To produce useful embeddings, we adapt a technique of Bishop in the open bordered case and use a Runge-type harmonic approximation theorem in the compact case. Bibliography: 36 titles.
Keywords: Riemann surface, projective embedding. Bishop approximation, Dirichlet-to-Neumann problem, Riemann-Klein theorem. 
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V. Michel; G. M. Henkin. Bishop-Runge approximations and inversion of a~Riemann-Klein theorem. Sbornik. Mathematics, Tome 206 (2015) no. 2, pp. 311-332. http://geodesic.mathdoc.fr/item/SM_2015_206_2_a6/