The Hadwiger theorem on convex functions, I
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866913579324669952 |
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| author | Colesanti, Andrea Ludwig, Monika Mussnig, Fabian |
| author_facet | Colesanti, Andrea Ludwig, Monika Mussnig, Fabian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_03702 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The Hadwiger theorem on convex functions, I Colesanti, Andrea Ludwig, Monika Mussnig, Fabian Functional Analysis Metric Geometry 52B45 (26B25, 49Q20, 52A41, 52A39) 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. |
| title | The Hadwiger theorem on convex functions, I |
| topic | Functional Analysis Metric Geometry 52B45 (26B25, 49Q20, 52A41, 52A39) |
| url | https://arxiv.org/abs/2009.03702 |