We offer a new and elementary proof of the convergence of the Lie series giving the flow of an analytic vector field as well as a natural deduction of such series.
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@article{CRMATH_2021__359_9_1155_0, author = {Carrillo, Sergio A.}, title = {A quick proof of the regularity of the flow of analytic vector fields}, journal = {Comptes Rendus. Math\'ematique}, pages = {1155--1159}, publisher = {Acad\'emie des sciences, Paris}, volume = {359}, number = {9}, year = {2021}, doi = {10.5802/crmath.271}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/crmath.271/} }
TY - JOUR AU - Carrillo, Sergio A. TI - A quick proof of the regularity of the flow of analytic vector fields JO - Comptes Rendus. Mathématique PY - 2021 SP - 1155 EP - 1159 VL - 359 IS - 9 PB - Académie des sciences, Paris UR - http://archive.numdam.org/articles/10.5802/crmath.271/ DO - 10.5802/crmath.271 LA - en ID - CRMATH_2021__359_9_1155_0 ER -
%0 Journal Article %A Carrillo, Sergio A. %T A quick proof of the regularity of the flow of analytic vector fields %J Comptes Rendus. Mathématique %D 2021 %P 1155-1159 %V 359 %N 9 %I Académie des sciences, Paris %U http://archive.numdam.org/articles/10.5802/crmath.271/ %R 10.5802/crmath.271 %G en %F CRMATH_2021__359_9_1155_0
Carrillo, Sergio A. A quick proof of the regularity of the flow of analytic vector fields. Comptes Rendus. Mathématique, Tome 359 (2021) no. 9, pp. 1155-1159. doi : 10.5802/crmath.271. http://archive.numdam.org/articles/10.5802/crmath.271/
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