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arXiv · 1707.05242

Minkowski valuations on convex functions

Andrea Colesanti·Monika Ludwig·Fabian Mussnig
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Abstract

A classification of SL$(n)$ 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 SL$(n)$ covariant Minkowski valuation on convex functions is defined and characterized.

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Andrea Colesanti, Monika Ludwig, Fabian Mussnig. 2017-07-17. Minkowski valuations on convex functions. https://doi.org/10.1007/s00526-017-1243-4

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