Holomorphic extension from a convex hypersurface

Details Holomorphic extension from a convex hypersurface Holomorphic extension from a convex hypersurface

2009-11-08

arxiv.org/abs/0911.1521v2

Mathematics

Complex Variables

5 pages

Scientific paper

We discuss a general result of holomorphic extension of a real analytic
function $f$ defined on the boundary $\partial D$ of a real analytic strictly
convex subset $D\subset\subset \C^n$. We show that this follows from the
hypothesis of separate holomorphic extension along stationary/extremal discs.

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