3 citations · 6 across the 18 of their papers we have counts for
18 papers
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…
Reciprocals and Flowers in Convexity
Emanuel Milman, Vitali Milman, Liran Rotem
We study new classes of convex bodies and star bodies with unusual properties. First we define the class of reciprocal bodies, which may be viewed as convex bodies of the form "$1/…
Identifying Set Inclusion by Projective Positions and Mixed Volumes
D. I. Florentin, V. D. Milman, A. Segal
We study a few approaches to identify inclusion (up to a shift) between two convex bodies in . To this goal we use mixed volumes and fractional linear maps. We prove…
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…