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arXiv · 2209.05158

Singular valuations and the Hadwiger theorem on convex functions

Jonas Knoerr
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Abstract

We give a characterization of smooth, rotation and dually epi-translation invariant valuations and use this result to obtain a new proof of the Hadwiger theorem on convex functions. We also give a description of the construction of the functional intrinsic volumes using integration over the differential cycle and provide a new representation of these functionals as principal value integrals with respect to the Hessian measures.

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Jonas Knoerr. 2022-09-12. Singular valuations and the Hadwiger theorem on convex functions. https://arxiv.org/abs/2209.05158

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