Valuations on log-concave functions

DOI10.1007/s12220-020-00539-3zbMath1475.26011arXiv1707.06428OpenAlexW3094440732MaRDI QIDQ2048304

Fabian Mussnig

Publication date: 5 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06428

zbMATH Keywords

valuationdifference body\(\mathrm{SL}(n)\) covariancelog-concave functiontranslation covariancemoment vector

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Related Items (7)

LYZ ellipsoid and Petty projection body for log-concave functions ⋮ Fourier transform and valuations ⋮ A homogeneous decomposition theorem for valuations on convex functions ⋮ Geometric valuation theory ⋮ \(\mathrm{SL}(n)\) covariant vector-valued valuations on \(L^p\)-spaces ⋮ A class of invariant valuations on \(\operatorname{Lip}(S^{n -1})\) ⋮ Affine invariant maps for log-concave functions

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