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

Gennadi Henkin; Vincent Michel

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

Gennadi Henkin·Vincent Michel

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Abstract

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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Gennadi Henkin, Vincent Michel. 2005-10-03. On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator. https://arxiv.org/abs/math/0505321

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