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On the Explicit Reconstruction of a Riemann surface from its Dirichlet–Neumann operator

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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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Authors and Affiliations

  1. Université Pierre et Marie Curie, 4 place Jussieu, 75252, Paris Cedex 05, France

    Gennadi Henkin & Vincent Michel

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  1. Gennadi Henkin
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  2. Vincent Michel
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Correspondence to Gennadi Henkin.

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Received: May 2005 Revision: October 2005 Accepted: October 2005

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Henkin, G., Michel, V. On the Explicit Reconstruction of a Riemann surface from its Dirichlet–Neumann operator. GAFA, Geom. funct. anal. 17, 116–155 (2007). https://doi.org/10.1007/s00039-006-0590-7

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  • DOI: https://doi.org/10.1007/s00039-006-0590-7

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