On the holomorphic extension of CR functions from non-generic CR submanifolds of ℂn

Abstract

We give a holomorphic extension result for continuous CR functions on a non-generic CR submanifold N of ℂⁿ to complex transversal wedges with edges containing N. We show that given any v∈ℂⁿ∖(T_pN+iT_pN), there exists a wedge of direction v whose edge contains a neighborhood of p in N, such that any continuous CR function defined locally near p extends holomorphically to that wedge.