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math.CV2000
On the analyticity of CR mappings between nonminimal hypersurfaces
Peter Ebenfelt
Let M be a connected real-analytic hypersurface in two dimensional complex space, , containing a connected complex hypersurface E, and let f be a smooth CR mapping sen…
math.CV2000
Dynamics of the Segre varieties of a real submanifold in complex space
M. S. Baouendi, P. Ebenfelt, Linda Preiss Rothschild
Iterated Segre mappings of real analytic generic submanifolds in complex space have been an essential tool in the study of holomorphic, formal, and CR mappings between such manifol…
math.CV2000
Finite jet determination of holomorphic mappings at the boundary
Peter Ebenfelt
Let M,M' be smooth real hypersurfaces in N-dimensional space and assume that M is k-nondegenerate at a point p in M. We prove that holomorphic mappings that extend smoothly to M, s…