Work

The Hadwiger Theorem on Convex Functions, I

Year: 2024

Type: article

Abstract: A complete classification of all continuous, epi-translation and rotation invariant valuations on the space of super-coercive convex functions on ${\mathbb{R}}^{n}$ is established. The valuations obtained are functional versions of the classical intrinsic volumes. For their definition, singular Hessian valuations are introduced.

Source: Geometric and Functional Analysis

DOI: 10.1007/s00039-024-00693-8

Authors: Andrea Colesanti, Monika Ludwig, Fabian Mussnig

Institutions: University of Florence, TU Wien, Tel Aviv University

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: European Commission