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MR2480615 (2010a:26017) 26B25 (46B99 52A41 90C25)
Artstein-Avidan, Shiri; Milman, Vitali The concept of duality in convex analysis, and the characterization of the Legendre transform. Ann. of Math. (2) 169 (2009), no. 2, 661–674.
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