Théorèmes de Borel avec contraintes

D. Cerveau and D. Garba Belko

Journal of Singularities
volume 17 (2018), 245-266

Received: 13 December 2017. Received in revised form: 4 July 2018

DOI: 10.5427/jsing.2018.17k

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Abstract:

A classical theorem due to Borel asserts that any formal series with real coefficients is the Taylor expansion of a germ of a smooth function. We study such a problem in the context of Lie algebras of vector fields or of groups of diffeomorphisms.


Author(s) information:

D. Cerveau D. Garba Belko
Université de Rennes1 Université Abdou Moumouni
IRMAR, CNRS UMR 6625 Faculté des Sciences
Campus de Beaulieu, Bât. 22-23 Département de Mathématiques
F-35042 Rennes Cedex, France B.P. 10662 Niamey, Niger
email: dominique.cerveau@univ-rennes1.fr email: garbabelkodjibrilla@yahoo.fr