1 citations · 2 across the 2 of their papers we have counts for
4 papers
Localization of valuations and Alesker's irreducibility theorem
Georg C. Hofstätter, Jonas Knoerr
We provide a new proof of Alesker's Irreducibility Theorem. We first introduce a new localization technique for polynomial valuations on convex bodies, which we use to independentl…
Mixed Christoffel-Minkowski problems for bodies of revolution
Leo Brauner, Georg C. Hofstätter, Oscar Ortega-Moreno
The mixed Christoffel-Minkowski problem asks for necessary and sufficient conditions for a Borel measure on the Euclidean unit sphere to be the mixed area measure of some convex bo…
The Christoffel problem for the disk area measure
Leo Brauner, Georg C. Hofstätter, Oscar Ortega-Moreno
The mixed Christoffel problem asks for necessary and sufficient conditions for a Borel measure on the Euclidean unit sphere to be the mixed area measure of some convex bodies, all…
Blaschke-Santaló inequalities for Minkowski and Asplund endomorphisms
Georg C. Hofstätter, Franz E. Schuster
It is shown that each monotone Minkowski endomorphism of convex bodies gives rise to an isoperimetric inequality which directly implies the classical Urysohn inequality. Among this…