Oscar Ortega‐Moreno

activity

20212024

collaborators

4 papers

math.MG2024

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…

math.MG2024

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…

math.MG2023

Fixed Points of Mean Section Operators

Leo Brauner, Oscar Ortega-Moreno

We characterize rotation equivariant bounded linear operators from $C (S^{n - 1})$ to $C^{2} (S^{n - 1})$ by the mass distribution of the spherical Laplacian of their ker…

math.FA2021

The complex plank problem, revisited

Oscar Ortega-Moreno

Ball's complex plank theorem states that if $v_{1}, \dots, v_{n}$ are unit vectors in $C^{d}$ , and $t_{1}, \dots, t_{n}$ , non-negative numbers satisfying $\sum_{k = 1}^{n} t_{k}^{2} = 1,$ then t…