Holomorphic continuation of smooth functions over Levi-flat hypersurfaces

Bedford, Eric

doi:10.1090/S0002-9947-1977-0481100-9

Holomorphic continuation of smooth functions over Levi-flat hypersurfaces
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Trans. Amer. Math. Soc. 232 (1977), 323-341 Request permission

Abstract:

Here we consider the singularities of a Levi-flat real hypersurface S in C that lie in an analytic variety of codimension 2. It is shown that, from the geometric point of view, there are two kinds of singularities, and the type of singularity determines whether S bounds a domain of holomorphy of type ${A^\infty }$.

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