On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator

Gennadi Henkin (IMJ); Vincent Michel (IMJ)

arxiv: math/0505321 · v6 · submitted 2005-05-16 · 🧮 math.CV · math.AP· math.CA

On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator

Gennadi Henkin (IMJ) , Vincent Michel (IMJ) This is my paper

classification 🧮 math.CV math.APmath.CA

keywords dirichlet-neumannoperatorproblemreconstructionsurfaceanalysisapproachedarticle

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This article gives a complex analysis lighting on the problem which consists in restoring a bordered connected riemaniann surface from its boundary and its Dirichlet-Neumann operator. The three aspects of this problem, unicity, reconstruction and characterization are approached.

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On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator

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