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Minkowski valuations on convex functions.
Calculus of Variations and Partial Differential Equations ( IF 2.1 ) Pub Date : 2017-10-23 , DOI: 10.1007/s00526-017-1243-4
Andrea Colesanti 1 , Monika Ludwig 2 , Fabian Mussnig 2
Affiliation  

A classification of [Formula: see text] contravariant Minkowski valuations on convex functions and a characterization of the projection body operator are established. The associated LYZ measure is characterized. In addition, a new [Formula: see text] covariant Minkowski valuation on convex functions is defined and characterized.

中文翻译:

Minkowski 对凸函数的估值。

建立了[公式:见正文]关于凸函数的逆变Minkowski估值的分类和投影体算子的表征。表征相关的 LYZ 测量。此外,定义和表征了一个新的 [公式:见正文] 凸函数上的协变 Minkowski 估值。
更新日期:2019-11-01
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