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Problème de Plateau complexe feuilleté. Phénomènes de Hartogs-Severi et Bochner pour des feuilletages CR singuliers
The purpose of this paper is to generalise in a geometric setting theorems of Severi, Brown and Bochner about analytic continuation of real analytic functions which are holomorphic or harmonic with respect to one of its variables.We prove in particular that if N is a real analytic levi-flat annulus in …