Centrally symmetric convex bodies and Radon transforms on higher order Grassmannians

DOI10.1112/S0025579300006495zbMath0738.52006OpenAlexW1996373631MaRDI QIDQ4711097

Wolfgang Weil, Paul R. Goodey

Publication date: 25 June 1992

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300006495

zbMATH Keywords

Radon transformsconvex bodiesGrassmann manifoldscentrally symmetric convex bodieszonoids

Mathematics Subject Classification ID

Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (7)

Projection functions, area measures and the Alesker-Fourier transform ⋮ Functional analytic characterizations of classes of convex bodies ⋮ Integral geometry in Minkowski spaces ⋮ On the inverse Klain map ⋮ Higher-rank Radon transforms on constant curvature spaces ⋮ A flag representation of projection functions ⋮ Plateau's problem in Finsler 3-space

Cites Work

• Continuous translation invariant valuations on convex bodies
• Iterations of translative integral formulae and non-isotropic Poisson processes of particles
• Processes of flats induced by higher dimensional processes
• Translative integral formulae for convex bodies
• The Radon transform
• Zonoide und verwandte Klassen konvexer Körper
• Centrally symmetric convex bodies and distributions
• Centrally symmetric convex bodies and distributions. II
• Zu einem Problem von Shephard über die Projektionen konvexer Körper
• Polytopes with centrally symmetric faces
• Un théorème d'unicité pour les hyperplans poissoniens

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