Convolution bodies and their limiting behavior

DOI10.1215/S0012-7094-97-08708-1zbMath0874.52004MaRDI QIDQ1355296

Antonis Tsolomitis

Publication date: 4 November 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

ellipsoidconvolution bodylimiting convolution

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (5)

Brunn-Minkowski and Zhang inequalities for convolution bodies ⋮ Brunn-Minkowski inequality for \(\theta\)-convolution bodies via Ball's bodies ⋮ Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms ⋮ The covariogram determines three-dimensional convex polytopes ⋮ On the convolution bodies of \(L_p\)-addition

Cites Work

• Extremalität von Ellipsoiden und die Faltungsungleichung von Sobolev
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• The distribution function of the convolution square of a convex symmetric body in \({\mathbb{R}{}}^ n\)
• Differential Topology
• The volume of the intersection of a convex body with its translates
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