Intersection bodies and the Busemann-Petty problem
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Publication:4385795
DOI10.1016/S0764-4442(97)83550-1zbMath0898.52001MaRDI QIDQ4385795
Publication date: 20 April 1998
Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items (16)
Busemann-Petty problem for the i-th radial Blaschke-Minkowski homomorphisms ⋮ \(L_p\)-mixed intersection bodies and star duality ⋮ \(q\)-dual mixed volumes and \(L_{p}\)-intersection bodies ⋮ Complex \(L_p\)-intersection bodies ⋮ Derivatives of the \(L^p\)-cosine transform. ⋮ The dual Orlicz-Minkowski problem ⋮ Autour de l'inégalité de Brunn-Minkowski ⋮ The normalized L_p intersection bodies ⋮ Some Brunn-Minkowski type inequalities for \(L_{p}\) radial Blaschke-Minkowski homomorphisms ⋮ Intersection bodies in \(\mathbb{R}^4\) ⋮ \(L_{p}\)-mixed intersection bodies ⋮ On the Negative Solutions of L_p-Busemann-Petty Problem ⋮ A generalization of the Busemann-Petty problem on sections of convex bodies ⋮ The Cramer-Rao inequality for star bodies ⋮ \(L_{p}\)-dual affine surface area forms of Busemann-Petty type problems ⋮ Busemann-Petty problems for general \(L_p\)-intersection bodies
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