The Hadwiger theorem on convex functions, I

Autor:	Colesanti, Andrea, Ludwig, Monika, Mussnig, Fabian
Rok vydání:	2020
Předmět:	Mathematics - Functional Analysis Mathematics - Metric Geometry 52B45 (26B25 49Q20 52A41 52A39)
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.03702 Zobrazit plný text záznamu View this record from Arxiv