Holomorphic Extension of Decomposable Distributions from a Cr Submanifold of C
نویسنده
چکیده
Given N a non generic smooth CR submanifold of C, N = {(N, h(N))} where N is generic in C and h is a CR map from N into C. We prove, using only elementary tools, that if h is decomposable at p′ ∈ N then any decomposable CR distribution on N at p = (p′, h(p′)) extends holomorphically to a complex transversal wedge. This gives an elementary proof of the well known equivalent for totally real non generic submanifolds, i.e if N is a smooth totally real submanifold of C any continuous function on N admits a holomorphic extension to a complex transverse wedge.
منابع مشابه
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تاریخ انتشار 2005