The Hadwiger theorem on convex functions, II: Cauchy-Kubota formulas
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866911076139925504 |
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| author | Colesanti, Andrea Ludwig, Monika Mussnig, Fabian |
| author_facet | Colesanti, Andrea Ludwig, Monika Mussnig, Fabian |
| contents | A new version of the Hadwiger theorem on convex functions is established and an explicit representation of functional intrinsic volumes is found using new functional Cauchy-Kubota formulas. In addition, connections between functional intrinsic volumes and their classical counterparts are obtained and non-negative valuations are classified. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_09434 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The Hadwiger theorem on convex functions, II: Cauchy-Kubota formulas Colesanti, Andrea Ludwig, Monika Mussnig, Fabian Functional Analysis Metric Geometry 52B45 (Primary) 26B25, 49Q20, 52A41, 52A39 (Secondary) A new version of the Hadwiger theorem on convex functions is established and an explicit representation of functional intrinsic volumes is found using new functional Cauchy-Kubota formulas. In addition, connections between functional intrinsic volumes and their classical counterparts are obtained and non-negative valuations are classified. |
| title | The Hadwiger theorem on convex functions, II: Cauchy-Kubota formulas |
| topic | Functional Analysis Metric Geometry 52B45 (Primary) 26B25, 49Q20, 52A41, 52A39 (Secondary) |
| url | https://arxiv.org/abs/2109.09434 |