Edge of the Wedge Theory in Hypo-Analytic Manifolds

Details Edge of the Wedge Theory in Hypo-Analytic Manifolds Edge of the Wedge Theory in Hypo-Analytic Manifolds

2001-07-25

arxiv.org/abs/math/0107183v2

Mathematics

Complex Variables

29 Pages. This revision corrects an inaccurate historical statement in the introduction

Scientific paper

This paper studies microlocal regularity properties of the distributions f on a strongly noncharacteristic 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-Treves is constrained as a consequence of the fact that f extends as a solution to a wedge.

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