1 citations · 1 across the 5 of their papers we have counts for
5 papers
Affine Quermassintegrals and Even Minkowski Valuations
Georg C. Hofstätter, Philipp Kniefacz, Franz E. Schuster
It is shown that each continuous even Minkowski valuation on convex bodies of degree intertwining rigid motions is obtained from convolution of the th proj…
The Klain approach to zonal valuations
Leo Brauner, Georg C. Hofstätter, Oscar Ortega-Moreno
We show an analogue of the Klain-Schneider theorem for valuations that are invariant under rotations around a fixed axis, called zonal. Using this, we establish a new integral repr…
Equivariant Valuations on Convex Functions
Georg C. Hofstätter, Jonas Knoerr
We classify all continuous valuations on the space of finite convex functions with values in the same space which are dually epi-translation-invariant and equi- resp. contravariant…
Busemann-Petty type problems on complex vector spaces
Simon Ellmeyer, Georg C. Hofstätter
Busemann-Petty type problems for the recently introduced complex projection, centroid and -intersection body operators are examined. Moreover, it is shown that, as their real…
Lefschetz operators on convex valuations
Leo Brauner, Georg C. Hofstätter, Oscar Ortega-Moreno
We investigate the action of Alesker's Lefschetz operators on translation invariant valuations on convex bodies. For scalar valued valuations, we describe this action on the level…