Bishop-Runge approximations and inversion of a Riemann-Klein theorem

Gennadi Henkin; Vincent Michel

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arXiv · 1311.6164

Bishop-Runge approximations and inversion of a Riemann-Klein theorem

Gennadi Henkin·Vincent Michel

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Abstract

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 Runge type harmonic approximation theorem in the compact case.

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Gennadi Henkin, Vincent Michel. 2013-11-24. Bishop-Runge approximations and inversion of a Riemann-Klein theorem. https://arxiv.org/abs/1311.6164

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