Zonoide und verwandte Klassen konvexer Körper.
Kontinuierliche Linearkombinationen von Strecken.
Iterations of translative integral formulae and non-isotropic Poisson processes of particles.
Ein Approximationssatz für konvexe Körper.
Das gemischte Volumen als Distribution.
Über die Bestimmung eines konvexen Körpers durch die Inhalte seiner Projektionen.
Translative integral formulae for convex bodies.
Operations between sets in geometry
An investigation is launched into the fundamental characteristics of operations on and between sets, with a focus on compact convex sets and star sets (compact sets star-shaped with respect to the origin) in -dimensional Euclidean space . It is proved that if , with three trivial exceptions, an operation between origin-symmetric compact convex sets is continuous in the Hausdorff metric, covariant, and associative if and only if it is addition for some . It is also demonstrated that if ,...
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