2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95338This 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.The different issues correspond only to slight misprint correctionsComplex VariablesAnalysis of PDEsClassical Analysis and ODEsPrimary 58J32, 32C25; Secondary 35R30On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operatortext