Edge of the Wedge Theory in Hypo-analytic Manifolds

Abstract

This article studies microlocal regularity properties of the distributions fon a strongly noncharacteristic submanifold Eof a hypo-analytic manifold Mthat arise as the boundary values of solutions on wedges in Mwith edge E. The hypo-analytic wave-front set of fin the sense of Baouendi-Chang-Treves is constrained as a consequence of the fact that fextends as a solution to a wedge.