Extremal extension for m-jets of one variable with range in a Hilbert space

Erwan Le Gruyer (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We generalize to Hilbert spaces a theorem of Glaeser concerning minimal Lipschitz extensions of m-jets of one variable with range in R. The results contained in this paper can be seen as a small contribution to the general problem of the minimal Lipschitz extensions from m-jets for a Hilbert space to another Hilbert space.

Mots clés: differentiable function; m-jets; interpolation; minimal; Lipschitz; extension

Domaines: Analyse numérique [math.NA]

Erwan Le Gruyer. Extremal extension for m-jets of one variable with range in a Hilbert space. Advances in Mathematics, 2015, 281, pp.1274-1284. ⟨10.1016/j.aim.2015.06.009⟩. ⟨hal-01186597⟩