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# Extension of Holomorphic Functions From One Side of a Hypersurface

Published:2005-12-01
Printed: Dec 2005
• Luca Baracco
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## Abstract

We give a new proof of former results by G. Zampieri and the author on extension of holomorphic functions from one side $\Omega$ of a real hypersurface $M$ of $\mathbb{C}^n$ in the presence of an analytic disc tangent to $M$, attached to $\bar\Omega$ but not to $M$. Our method enables us to weaken the regularity assumptions both for the hypersurface and the disc.
 Keywords: analytic discs, Poisson integral, holomorphic extension
 MSC Classifications: 32D10 - Envelopes of holomorphy 32V25 - Extension of functions and other analytic objects from CR manifolds