Valuations on the space of quasi-concave functions
Metric Geometry
2015-12-02 v1
Abstract
We characterize the valuations on the space of quasi-concave functions defined on the -dimensional Euclidean space, that are rigid motion invariant and continuous with respect to a suitable topology. Among them we also provide a specific description of those which are additionally monotone.
Cite
@article{arxiv.1512.00231,
title = {Valuations on the space of quasi-concave functions},
author = {Andrea Colesanti and Nico Lombardi},
journal= {arXiv preprint arXiv:1512.00231},
year = {2015}
}