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Edge of the wedge theory in hypo-analytic manifolds. (English) Zbl 1063.32009

This article studies microlocal regularity properties of the distributions \(f\) on a strongly non-characteristic submanifold \(E\) of a hypo-analytic manifold \(M\) that arise as the boundary values of solutions on wedges in \(M\) with edge \(E\). The hypo-analytic wave-front set of \(f\) in the sense of Baouendi-Chang-Trèves is constrained as a consequence of the fact that \(f\) extends as a solution to a wedge.

MSC:

32V25 Extension of functions and other analytic objects from CR manifolds
35A27 Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs
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References:

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