The Sine Transform of Isotropic Measures

DOI10.1093/imrn/rnr035zbMath1244.52010arXiv1207.7266OpenAlexW2963461363MaRDI QIDQ3225191

Franz E. Schuster, Gabriel Maresch

Publication date: 15 March 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.7266

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items (15)

Continuous version of the approximate geometric Brascamp-Lieb inequalities ⋮ On the sine polarity and the \(L_p\)-sine Blaschke-Santaló inequality ⋮ Volume inequalities of convex bodies from cosine transforms on Grassmann manifolds ⋮ Isomorphic versions of reverse isoperimetric inequalities ⋮ Volume inequalities for Orlicz zonotopes ⋮ Optimal Sobolev norms in the affine class ⋮ A uniqueness result for mean section bodies ⋮ \(L_\infty \) Loomis-Whitney inequalities ⋮ On reverse Minkowski-type inequalities ⋮ A Grassmannian Loomis–Whitney inequality and its dual ⋮ Gaussian inequalities for Wulff shapes ⋮ Volume inequalities for complex isotropic measures ⋮ New sine ellipsoids and related volume inequalities ⋮ Affine vs. Euclidean isoperimetric inequalities ⋮ The sine representation of centrally symmetric convex bodies

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