| EBENFELT, Peter, Ilya KOSSOVSKIY a Bernhard LAMEL. Regularity of CR-mappings between Fuchsian type hypersurfaces in C2. Complex Analysis and its Synergies. Springer Nature Switzerland AG, 2020, roč. 6, č. 2, s. 17-27. ISSN 2197-120X. Dostupné z: https://dx.doi.org/10.1007/s40627-020-00051-y. |
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@article{1707119,
author = {Ebenfelt, Peter and Kossovskiy, Ilya and Lamel, Bernhard},
article_number = {2},
doi = {http://dx.doi.org/10.1007/s40627-020-00051-y},
keywords = {CR-mapping; Fuchsian differential equations; holomorphic mappings; real hypersurfaces},
language = {eng},
issn = {2197-120X},
journal = {Complex Analysis and its Synergies},
title = {Regularity of CR-mappings between Fuchsian type hypersurfaces in C2},
url = {https://doi.org/10.1007/s40627-020-00051-y},
volume = {6},
year = {2020}
}
TY - JOUR
ID - 1707119
AU - Ebenfelt, Peter - Kossovskiy, Ilya - Lamel, Bernhard
PY - 2020
TI - Regularity of CR-mappings between Fuchsian type hypersurfaces in C2
JF - Complex Analysis and its Synergies
VL - 6
IS - 2
SP - 17-27
EP - 17-27
PB - Springer Nature Switzerland AG
SN - 2197120X
KW - CR-mapping
KW - Fuchsian differential equations
KW - holomorphic mappings
KW - real hypersurfaces
UR - https://doi.org/10.1007/s40627-020-00051-y
L2 - https://doi.org/10.1007/s40627-020-00051-y
N2 - 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.
ER -
EBENFELT, Peter, Ilya KOSSOVSKIY a Bernhard LAMEL. Regularity of CR-mappings between Fuchsian type hypersurfaces in C2. \textit{Complex Analysis and its Synergies}. Springer Nature Switzerland AG, 2020, roč.~6, č.~2, s.~17-27. ISSN~2197-120X. Dostupné z: https://dx.doi.org/10.1007/s40627-020-00051-y.
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