On the Holomorphic Extension of Cr Distributions from Non Generic Cr Submanifolds of C
نویسنده
چکیده
We give a holomorphic extension result from non generic CR submanifold of C of positive CR dimension. We consider N a non generic CR submanifold given by N = {N, h(N)} where N is a generic submanifold of some C and h is a CR map from N into C. We prove that if N is a hypersurface then any CR distribution on N extends holomorphically to a complex transversal wedge, we then generalize this result for arbitrary N in the case where the graphing function h is decomposable at some p ∈ N. We show that any CR distribution on N that is decomposable at p = (p, h(p)) extends holomorphically to a complex transversal wedge.
منابع مشابه
Holomorphic Extension of Decomposable Distributions from a Cr Submanifold of C
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 ...
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