Bishop-Runge approximations and inversion of a Riemann-Klein theorem. (28th February 2015)

• Record Type: Journal Article
• Authors: Henkin, G M; Michel, V
• Is Part Of: Sbornik. Volume 206:Number 2(2015)
• Page Start: 311
• Page End: 332
• Publication Date: 2015-02-28
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1070/SM2015v206n02ABEH004459
• Languages: English
• ISSNs: 1064-5616

Abstract

<abstract xml:lang="en"> <title>Abstract</title> <p>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.</p> <p>Bibliography: 37 titles. </p> </abstract>