%0 Journal Article %A Daniel Azagra %A Carlos Mudarra %T Convex $C^1$ extensions of $1$-jets from compact subsets of Hilbert spaces %J Comptes Rendus. Mathématique %D 2020 %P 551-556 %V 358 %N 5 %I Académie des sciences, Paris %R 10.5802/crmath.62 %G en %F CRMATH_2020__358_5_551_0