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Formal microlocalization. (English. Abridged French version) Zbl 0945.58019
Let \(X\) be a complex analytic manifold. A functor of formal cohomology on \(X\) has previously been considered by M. Kashiwara and P. Schapira [Mém. Soc. Math. Fr., Nouv. Sér. 64, 76 p.(1996; Zbl 0881.58060), Suppl. Bull. Soc. Math. Fr. 124, No. 1 (1996)].
In this note, a microlocal version of this functor is presented, an associated Sato triangle is given, and the existence of a natural action of the ring \({\mathcal E}^{R,f}_X\) is concluded.

58J15 Relations of PDEs on manifolds with hyperfunctions
32C38 Sheaves of differential operators and their modules, \(D\)-modules
18E30 Derived categories, triangulated categories (MSC2010)
46F20 Distributions and ultradistributions as boundary values of analytic functions
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