Simple valuations on convex bodies
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Publication:4895405
DOI10.1112/S0025579300011578zbMath0864.52009OpenAlexW2128811307MaRDI QIDQ4895405
Publication date: 24 November 1996
Published in: Mathematika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/s0025579300011578
Related Items (21)
Valuations on Convex Bodies: The Classical Basic Facts ⋮ Structures on Valuations ⋮ Valuation theory of indefinite orthogonal groups ⋮ A valuation-theoretic approach to translative-equidecomposability ⋮ Kotrbatý's theorem on valuations and geometric inequalities for convex bodies ⋮ Geometric valuation theory ⋮ The Hadwiger theorem on convex functions. IV: The Klain approach ⋮ Groups of convex bodies ⋮ Quasianalyticity, uncertainty, and integral transforms on higher Grassmannians ⋮ Kinematic formulas for tensor valuations ⋮ An Euler relation for valuations on polytopes ⋮ On extendability by continuity of valuations on convex polytopes ⋮ Integral geometry under \(G_2\) and \(Spin(7)\) ⋮ A Fourier-type transform on translation-invariant valuations on convex sets ⋮ Absolute continuity for curvature measures of convex sets. III ⋮ Even valuations on convex bodies ⋮ Minkowski valuations ⋮ Characterizing the mixed volume ⋮ On P. McMullen's conjecture on translation invariant valuations ⋮ Valuations on polytopes containing the origin in their interiors ⋮ Projection bodies and valuations
Cites Work
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- Continuous translation invariant valuations on the space of compact convex sets
- Additive Transformationen konvexer Körper
- Spherical harmonics
- The determination of convex bodies from the mean of random sections
- Valuations and Euler-Type Relations on Certain Classes of Convex Polytopes
- Equivariant Endomorphisms of the Space of Convex Bodies
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