The Hadwiger theorem on convex functions, I
Functional Analysis
2024-11-19 v2 Metric Geometry
Abstract
A complete classification of all continuous, epi-translation and rotation invariant valuations on the space of super-coercive convex functions on is established. The valuations obtained are functional versions of the classical intrinsic volumes. For their definition, singular Hessian valuations are introduced.
Cite
@article{arxiv.2009.03702,
title = {The Hadwiger theorem on convex functions, I},
author = {Andrea Colesanti and Monika Ludwig and Fabian Mussnig},
journal= {arXiv preprint arXiv:2009.03702},
year = {2024}
}