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arXiv · 2009.03702

The Hadwiger theorem on convex functions, I

Andrea Colesanti·Monika Ludwig·Fabian Mussnig
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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.

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Andrea Colesanti, Monika Ludwig, Fabian Mussnig. 2022-12-15. The Hadwiger theorem on convex functions, I. https://doi.org/10.1007/s00039-024-00693-8

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