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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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