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On the complex $${\mathcal C}_\Lambda$$ attached to a certain class of Lagrangian set. (English) Zbl 0679.58042
From the introduction: On a real manifold X, we prove that there exist microlocally simple sheaves along some kind of Lagrangian sets $$\Lambda$$ $$\subset TX$$, and that such sheaves are unique up to shifts. This has been shown by M. Kashiwara and P. Shapira when $$\Lambda$$ is smooth,...we treat some cases when $$\Lambda$$ is not smooth as well. As an application we can give a microlocal definition of the complex $$C_{\Omega /X}$$, which is introduced by P. Shapira for the microlocal study of boundary value problems.
Reviewer: O.Liess

##### MSC:
 58J15 Relations of PDEs on manifolds with hyperfunctions
##### Keywords:
microlocalization of sheaves
Full Text:
##### References:
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