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arXiv · 1710.09322

Th\'eor\`emes de Borel avec contraintes

D. Cerveau·D. Garba Belko
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Abstract

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

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D. Cerveau, D. Garba Belko. 2017-10-25. Th\'eor\`emes de Borel avec contraintes. https://arxiv.org/abs/1710.09322

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