2017/02/28 by S. Ivashkovich
Mathematics · #Analytic and geometric function theory #Analytic function #Computer science #Constant (computer programming) #Holomorphic and Operator Theory #Holomorphic function #Hypersurface #Mathematical analysis #Mathematics #Meromorphic and Entire Functions #Meromorphic function #Pure mathematics #math.CV
paper · pdf · doi:10.1007/s12220-018-0032-4
1 figure
arxiv created 2018/05/07 · arxiv updated 2018/05/08 · openalex publication_date 2018/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove that a meromorphic mapping, which sends a peace of a real analytic strictly pseudoconvex hypersurface in \cc2 to a compact subset of \ccN which doesn't contain germs of non-constant complex curves is continuous from the concave side of the hypersurface. This implies the analytic continuability along CR-paths of germs of holomorphic mappings from real analytic hypersurfaces with non-vanishing Levi form to the locally spherical ones in all dimensions.