128 research outputs found
Endomorphismes de l'espace des germes de fonctions holomorphes en un point et opérateurs différentiels d'ordre infini
No full textNon-local pseudo-differential operators
No full textAbstractThe notion of non-local pseudo-differential operators, as well as their symbols and the operation on holomorphic functions, is established and the invertibility theorem for such operators is proved
Endomorphismes de l'espace des germes de fonctions holomorphes en un point et opérateurs différentiels d'ordre infini
No full textExistence locale de solutions holomorphes pour les équations différentielles d'ordre infini
No full textExistence locale de solutions holomorphes pour les équations différentielles d'ordre infini
No full textTRANSFORMATION DE FOURIER-SATO ET OPERATEURS PSEUDO-DIFFERENTIELS NON-LOCAUX
No full textIn this paper, first, we re-establish the notion of non-local pseudo-differential operators introduced by the author, more intrinsically by means of the Fourier-Sato transformation of the sheaf of holomorphic forms. By using this, we propose the construction of the composition of non-local pseudo-differential operators functorially
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