Spherical projections and centrally symmetric sets

DOI10.1006/aima.1997.1657zbMath0887.52001OpenAlexW2080280377MaRDI QIDQ1364922

Hermann Fallert, Paul R. Goodey, Wolfgang Weil

Publication date: 14 January 1998

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

Full work available at URL: https://doi.org/10.1006/aima.1997.1657

zbMATH Keywords

Radon transformcosine transformzonoidsgenerating distribution

Mathematics Subject Classification ID

Radon transform (44A12) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (19)

On intersection and mixed intersection bodies ⋮ Directed projection functions of convex bodies ⋮ \(L_p\)-mixed intersection bodies and star duality ⋮ \(q\)-dual mixed volumes and \(L_{p}\)-intersection bodies ⋮ Intersection bodies and generalized cosine transforms ⋮ Geometric tomography and local stereology. ⋮ On strict inclusions in hierarchies of convex bodies ⋮ Estimation of the mean normal measure from flat sections ⋮ On mixed complex intersection bodies ⋮ \(L_{p}\)-Brunn-Minkowski inequality ⋮ Average section functions for star-shaped sets ⋮ Brunn-Minkowski inequality for mixed intersection bodies ⋮ Section and projection means of convex bodies ⋮ Second derivative test for intersection bodies ⋮ \(L_{p}\)-mixed intersection bodies ⋮ Blaschke- and Minkowski-endomorphisms of convex bodies ⋮ Minkowski sums of projections of convex bodies ⋮ Intersection bodies and polytopes ⋮ Convex intersection bodies in three and four dimensions

Cites Work

• Centrally symmetric convex bodies and the spherical Radon transform
• Intersection bodies and dual mixed volumes
• Zonoide und verwandte Klassen konvexer Körper
• Centrally symmetric convex bodies and distributions
• Intersection bodies and the Busemann-Petty inequalities in \(\mathbb{R}^ 4\)
• Functional analytic characterizations of classes of convex bodies
• Spherical harmonics
• Zu einem Problem von Shephard über die Projektionen konvexer Körper
• Intersection Bodies and the Busemann-Petty Problem
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