Edge of the Wedge Theory in Hypo-Analytic Manifolds

2001/07/25 by Michael G. Eastwood, Eastwood, Michael G., C. Robin Graham +1
Economics, Econometrics and Finance · Mathematics · #35D18 (Primary) 35A27 32V99 (Secondary) #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Stochastic processes and financial applications #advanced mathematical theories #math.CV #msc:32V99 #msc:35A27 #msc:35D18

paper · pdf · doi:10.48550/arxiv.math/0107183

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

openalex publication_date 2001/07/25 · arxiv created 2001/07/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• The involutive structure on the blow-up of Rⁿ in Cⁿ

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