Geodesic
The concept of duality in convex analysis, and the characterization of the Legendre transform
Shiri Artstein-Avidan1 ; Vitali Milman1
1 School of Mathematical Sciences<br/>Tel Aviv University<br/>Tel Aviv 69978<br/>Israel
Annals of mathematics, Tome 169 (2009) no. 2, pp. 661-674.

Voir la notice de l'article provenant de la source Annals of Mathematics website

In the main theorem of this paper we show that any involution on the class of lower semi-continuous convex functions which is order-reversing, must be, up to linear terms, the well known Legendre transform.
DOI : 10.4007/annals.2009.169.661

Shiri Artstein-Avidan 1 ; Vitali Milman 1

1 School of Mathematical Sciences<br/>Tel Aviv University<br/>Tel Aviv 69978<br/>Israel 
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Shiri Artstein-Avidan; Vitali Milman. The concept of duality in convex analysis, and the characterization of the Legendre transform. Annals of mathematics, Tome 169 (2009) no. 2, pp. 661-674. doi : 10.4007/annals.2009.169.661. http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.169.661/

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