Radial continuous rotation invariant valuations on star bodies

DOI10.1016/j.aim.2015.12.030zbMath1338.52015arXiv1503.06064OpenAlexW1520012779WikidataQ62470987 ScholiaQ62470987MaRDI QIDQ2634799

Ignacio Villanueva

Publication date: 18 February 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06064

zbMATH Keywords

valuationstar bodies

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Related Items (11)

Rotation Invariant Valuations ⋮ Radial continuous valuations on star bodies ⋮ The Hadwiger theorem on convex functions. III: Steiner formulas and mixed Monge-Ampère measures ⋮ Geometric valuation theory ⋮ The Hadwiger theorem on convex functions. IV: The Klain approach ⋮ Volume, polar volume and Euler characteristic for convex functions ⋮ Continuous valuations on the space of Lipschitz functions on the sphere ⋮ Invariant Valuations on Super-Coercive Convex Functions ⋮ Continuity and representation of valuations on star bodies ⋮ Radial Minkowski additive operators ⋮ A class of invariant valuations on \(\operatorname{Lip}(S^{n -1})\)

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