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Sur une variété différentiable , l’introduction d’un élément géométrique équivalent à une connexion sans torsion permet de définir globalement une classe d’opérateurs pseudo-différentiels sur et une correspondance essentiellement bijective entre cette classe et une classe de symboles, fonctions sur l’espace cotangent à possédant des propriétés de régularité et de croissance convenables. Ces opérateurs sont localement ceux qui ont été étudiés par la plupart des auteurs (y compris nous-mêmes)...
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