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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

58J15 Relations of PDEs on manifolds with hyperfunctions
Full Text: DOI
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