The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Amp\`ere measures
Functional Analysis
2022-12-15 v2 Metric Geometry
Abstract
A complete family of functional Steiner formulas is established. As applications, an explicit representation of functional intrinsic volumes using special mixed Monge-Amp\`ere measures and a new version of the Hadwiger theorem on convex functions are obtained.
Keywords
Cite
@article{arxiv.2111.05648,
title = {The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Amp\`ere measures},
author = {Andrea Colesanti and Monika Ludwig and Fabian Mussnig},
journal= {arXiv preprint arXiv:2111.05648},
year = {2022}
}