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Soit une variété analytique complexe et son fibre cotangent. Soit un module cohérent sur l’anneau des opérateurs microdifférentiels formels sur . Dans le cas ou le support (ou variété caractéristique) de est une hypersurface, B. Malgrange a démontre que se décompose en systèmes élémentaires au point générique et après tensorisation par l’anneau des opérateurs microdifférentiels d’ordre - fractionnaire avec approprie.
Dans ce travail, on généralise le résultat cité : d’abord...
In this note, we investigate non-locally-convex topological vector spaces for which the closed graph theorem holds. In doing so, we introduce new classes of topological vector spaces. Our study includes a direct extension of Pták duality to the non-locally-convex situation.
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