Additive Kinematic Formulas for Functional Minkowski Vectors
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914579743768576 |
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| author | Mouamine, Mohamed A. |
| author_facet | Mouamine, Mohamed A. |
| contents | We establish an additive kinematic formula for the functional Minkowski vectors using mixed Monge-Ampère measures. These vectors, recently introduced and characterized by the author and F. Mussnig, form a natural family of vector-valued valuations on the space of convex functions. This result represents the first integral geometric application of this characterization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07984 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Additive Kinematic Formulas for Functional Minkowski Vectors Mouamine, Mohamed A. Metric Geometry Functional Analysis 52A22 (Primary) 26B12, 26B15, 26B25, 52A39, 52A41 (Secondary) We establish an additive kinematic formula for the functional Minkowski vectors using mixed Monge-Ampère measures. These vectors, recently introduced and characterized by the author and F. Mussnig, form a natural family of vector-valued valuations on the space of convex functions. This result represents the first integral geometric application of this characterization. |
| title | Additive Kinematic Formulas for Functional Minkowski Vectors |
| topic | Metric Geometry Functional Analysis 52A22 (Primary) 26B12, 26B15, 26B25, 52A39, 52A41 (Secondary) |
| url | https://arxiv.org/abs/2508.07984 |