English

Th\'eor\`emes de Borel avec contraintes

Dynamical Systems 2017-10-26 v1

Abstract

A classical theorem due to Borel asserts that any formal serie with real coefficients is the Taylor expansion of a germ of Cfunction\mathcal{C}^{\infty}- {\rm function}. We study such a problem in the context of Lie algebras of vector fields or of groups of diffeomorphisms.

Keywords

Cite

@article{arxiv.1710.09322,
  title  = {Th\'eor\`emes de Borel avec contraintes},
  author = {D. Cerveau and D. Garba Belko},
  journal= {arXiv preprint arXiv:1710.09322},
  year   = {2017}
}

Comments

in French

R2 v1 2026-06-22T22:25:35.156Z