6 papers
Aomoto interpolation and Coxeter systems
Ãngel D. MartÃnez, Oscar Ortega-Moreno
In this paper, we construct a Lagrange-type basis for the Aomoto space , naturally indexed by the chambers of the hyperplane arrangement . The construct…
Polarization problems and Coxeter systems
Ãngel D. MartÃnez, Oscar Ortega-Moreno
In this paper we provide a proof of the strong polarization conjecture due to Ball and Frenkel. We observe that Coxeter systems produce unexpected new examples of extremizers. Furt…
Strong Polarization and Entropy
Daniel Galicer, Oscar Ortega-Moreno, Damián Pinasco
We show that for any set of unit vectors in a real Hilbert space and positive numbers satisfying , there exists a unit vector…
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…
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 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…