Volume, Polar Volume and Euler Characteristic for Convex Functions
Metric Geometry
2019-01-18 v1 Functional Analysis
Abstract
Functional analogs of the Euler characteristic and volume together with a new analog of the polar volume are characterized as non-negative, continuous, and translation invariant valuations on the space of finite, convex and coercive functions on .
Cite
@article{arxiv.1806.11084,
title = {Volume, Polar Volume and Euler Characteristic for Convex Functions},
author = {Fabian Mussnig},
journal= {arXiv preprint arXiv:1806.11084},
year = {2019}
}