Minkowski valuations on convex functions
Functional Analysis
2021-01-25 v1 Metric Geometry
Abstract
A classification of SL 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 covariant Minkowski valuation on convex functions is defined and characterized.
Keywords
Cite
@article{arxiv.1707.05242,
title = {Minkowski valuations on convex functions},
author = {Andrea Colesanti and Monika Ludwig and Fabian Mussnig},
journal= {arXiv preprint arXiv:1707.05242},
year = {2021}
}