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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Holomorphic continuation of smooth functions over Levi-flat hypersurfaces


Author: Eric Bedford
Journal: Trans. Amer. Math. Soc. 232 (1977), 323-341
MSC: Primary 32D15; Secondary 32L05
MathSciNet review: 0481100
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1977-0481100-9
PII: S 0002-9947(1977)0481100-9
Article copyright: © Copyright 1977 American Mathematical Society



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