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

作者：Henkin G M^*; Michel V

来源：Sbornik: Mathematics , 2015, 206(2): 311-332.

DOI：10.1070/SM2015v206n02ABEH004459

• Riemann surface
• projective embedding. Bishop approximation
• Dirichlet-to-Neumann problem
• Riemann-Klein theorem

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.

• 出版日期2015