Introduction to the Theory of Valuations

DOI10.1090/cbms/126zbMath1398.52001OpenAlexW2923599030MaRDI QIDQ4579936

Semyon Alesker

Publication date: 10 August 2018

Published in: CBMS Regional Conference Series in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/cbms/126

zbMATH Keywords

convex bodyirreducibility theoremstructures on valuations

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02)

Related Items (10)

On Hodge-Riemann relations for translation-invariant valuations ⋮ The Weyl principle on the Finsler frontier ⋮ Kotrbatý's theorem on valuations and geometric inequalities for convex bodies ⋮ On mixed Hodge–Riemann relations for translation-invariant valuations and Aleksandrov–Fenchel inequalities ⋮ Geometric valuation theory ⋮ On the extendability by continuity of angular valuations on polytopes ⋮ Iterations of Minkowski valuations ⋮ From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies ⋮ Fixed points of Minkowski valuations ⋮ On convergence of intrinsic volumes of Riemannian manifolds

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