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In this paper, first, we re-establish the notion of non-local pseudodifferential 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.

TRANSFORMATION DE FOURIER-SATO ET OPÉRATEURS PSEUDO-DIFFÉRENTIELS NON-LOCAUX