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The Centro-Affine Hadwiger Theorem
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, no. 3 (2014): 685-705
摘要
All upper semicontinuous and SL(n) invariant valuations on convex bodies containing the origin in their interiors are completely classified. Each such valuation is shown to be a linear combination of the Euler characteristic, the volume, the volume of the polar body, and the recently discovered Orlicz surface areas.
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