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On the Hartogs-Bochner phenomenon for CR functions in |
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| Authors: | Roman Dwilewicz Joë l Merker |
| Institution: | Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, P.O. Box 137, 00-950 Warsaw, Poland ; Laboratoire d'Analyse, Topologie et Probabilités, Centre de Mathématiques et Informatique, UMR 6632, 39 rue Joliot Curie, F-13453 Marseille Cedex 13, France |
| Abstract: | Let  be a compact, connected,  -smooth and globally minimal hypersurface  in  which divides the projective space into two connected parts  and  . We prove that there exists a side,  or  , such that every continuous CR function on  extends holomorphically to this side. Our proof of this theorem is a simplification of a result originally due to F. Sarkis. |
| Keywords: | Smooth hypersurfaces of the complex projective space holomorphic extension of CR functions jump formula global minimality one-sided neighborhood |
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