3 citations · 6 across the 18 of their papers we have counts for
12 papers · 1 filter
A remark on the rigidity of a property characterizing the Fourier transform
Hermann König, Vitali Milman
We show rigidity results for the operator equations T(f.g) = Tf.Tg, T(f*g) = Tf.Tg and T(f.g) = Tf*Tg for bijective operators T acting on sufficently large spaces of smooth functio…
Novel view on classical convexity theory
Vitali Milman, Liran Rotem
Let denote the Euclidean ball with diameter , i.e. with with center at and radius . We call such a bal…
Order Isomorphisms on Convex Functions in Windows
S. Artstein-Avidan, D. I. Florentin, V. D. Milman
In this paper we give a characterization of all order isomorphisms on some classes of convex functions. We deal with the class consisting of lower-semi-continuous convex f…
On the oscillation rigidity of a Lipschitz function on a high-dimensional flat torus
Dmitry Faifman, Bo'az Klartag, Vitali Milman
Given an arbitrary -Lipschitz function on the torus , we find a -dimensional subtorus , parallel to the axes, such that the restr…
A characterization of the mixed discriminant
D. I. Florentin, V. D. Milman, R. Schneider
We characterize the mixed discriminant of positive semi definite matrices using its most basic properties. As a corollary we establish its minimality among non negative and multi a…
α-concave functions and a functional extension of mixed volumes
Vitali Milman, Liran Rotem
Mixed volumes, which are the polarization of volume with respect to the Minkowski addition, are fundamental objects in convexity. In this note we announce the construction of mixed…