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Regularity of CR-mappings between Fuchsian type hypersurfaces in C2
Autoři | |
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Rok publikování | 2020 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Complex Analysis and its Synergies |
Fakulta / Pracoviště MU | |
Citace | |
www | https://doi.org/10.1007/s40627-020-00051-y |
Doi | http://dx.doi.org/10.1007/s40627-020-00051-y |
Klíčová slova | CR-mapping; Fuchsian differential equations; holomorphic mappings; real hypersurfaces |
Popis | We investigate regularity of CR-mappings between real-analytic infinite type hypersurfaces in C2. We show that, under the Fuchsian type condition, all (respectively formal or smooth) CR-diffeomorphisms between them are automatically analytic. The Fuchsian condition appears to be in a certain sense optimal for the regularity problem. |
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