Extension of Holomorphic Functions From One Side of a Hypersurface
Canadian mathematical bulletin, Tome 48 (2005) no. 4, pp. 500-504
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We give a new proof of former results by $\text{G}$ . 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.
Mots-clés :
32D10 32V25, analytic discs, Poisson integral, holomorphic extension
Baracco, Luca. Extension of Holomorphic Functions From One Side of a Hypersurface. Canadian mathematical bulletin, Tome 48 (2005) no. 4, pp. 500-504. doi: 10.4153/CMB-2005-046-6
@article{10_4153_CMB_2005_046_6,
author = {Baracco, Luca},
title = {Extension of {Holomorphic} {Functions} {From} {One} {Side} of a {Hypersurface}},
journal = {Canadian mathematical bulletin},
pages = {500--504},
year = {2005},
volume = {48},
number = {4},
doi = {10.4153/CMB-2005-046-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-046-6/}
}
TY - JOUR AU - Baracco, Luca TI - Extension of Holomorphic Functions From One Side of a Hypersurface JO - Canadian mathematical bulletin PY - 2005 SP - 500 EP - 504 VL - 48 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-046-6/ DO - 10.4153/CMB-2005-046-6 ID - 10_4153_CMB_2005_046_6 ER -
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