Abstract
A real analytic hypersurface M through 0 in C n is said to have the reflection property if any holomorphic mapping defined on one side of M, not totally degenerate at 0, and mapping M into another real analytic hypersurface in C n , extends holomorphically to a full neighborhood of 0 in C n . The main result of this paper is that a real analytic hypersurface in C 2 has the reflection property if and only if it is not Levi flat.
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