Continuous valuations on convex sets

DOI10.1007/s000390050061zbMath0919.52010OpenAlexW2016187582MaRDI QIDQ1386755

Semyon Alesker

Publication date: 26 May 1998

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000390050061

zbMATH Keywords

valuationsconvex bodyrotation invariantisometry covariant

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39)

Related Items (9)

Fourier transform and valuations ⋮ Local tensor valuations on convex polytopes ⋮ Tensor valuations on lattice polytopes ⋮ Geometric valuation theory ⋮ Volume, polar volume and Euler characteristic for convex functions ⋮ \(\mathrm{SL}(m, \mathbb{C})\)-equivariant and translation covariant continuous tensor valuations ⋮ The space of isometry covariant tensor valuations ⋮ Valuations on polytopes containing the origin in their interiors ⋮ H-continuity of fuzzy measures and set defuzzification

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