Upper Semicontinuous Valuations on the Space of Convex Discs |
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| Authors: | Monika Ludwig |
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| Affiliation: | (1) Abteilung für Analysis, Technische Universität Wien, Wiedner Hauptstraße 8-10/1142, A-1040 Vienna |
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| Abstract: | We show that every rigid motion invariant and upper semicontinuous valuation on the space of convex discs is a linear combination of the Euler characteristic, the length, the area, and a suitable curvature integral of the convex disc. |
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| Keywords: | convex disc valuation Hadwiger's characterization theorem curvature integral |
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