Boundary Behavior of Analytic Functions, Analytic Wave Front Sets and the Intersection Problem of Ehrenpreis

摘要

Theorems concerning the boundary behavior of analytic functions are reviewed and results for the intersection problem are described. An application to Bochner's tube theorem and the Cameron Storvick theorem is outlined. Equivalence of definitions of the analytic wave front set is considered. Proofs are organized such that a local form of Martineau's version of the edge-of-the-wegde theorem is obtained as a byproduct, and such that a variant of a result that any hyperfunction u is locally of the form u = J (D) f, f is a member of C sup inf, J (D) an infinite order (infraexponential) differential operator, is proved.