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papers

Publications (6)

math.FA2021

Three Classification Results In The Theory Of Weighted Hardy Spaces On The Ball

Danny Ofek, Gilad Sofer

We present a natural family of Hilbert function spaces on the d-dimensional complex unit ball and classify which of them satisfy that subsets of the ball yield isometrically isomor…

math.GR2025

Lower bounds on the essential dimension of reductive groups

Danny Ofek

We introduce a technique for proving lower bounds on the essential dimension of split reductive groups. As an application, we strengthen the best previously known lower bounds for…

math.GR2024

Essential dimension of cohomology classes via valuation theory

Danny Ofek, Zinovy Reichstein

We give a formula for the essential dimension of a cohomology class $I^\pm$ in $H^{d} (K, Q_{p} / Z_{p} (d))$ when $K$ is a strictly Henselian field. This formula is particul…

math.GR2022

Reduction of Structure to Parabolic Subgroups

Danny Ofek

Let $G$ be an affine group over a field of characteristic not two. A $G$ -torsor is called isotropic if it admits reduction of structure to a proper parabolic subgroup of $G$ . This…

math.AG2026

Finite abelian subgroups of algebraic groups

Danny Ofek, Zinovy Reichstein, Federico Scavia

Let $k$ be an algebraically closed field, and let $G$ be an algebraic $k$ -group. We study finite abelian $k$ -subgroups $A \subset G$ whose order is not divisible by the characteris…

math.FA2021

Distance between reproducing kernel Hilbert spaces and geometry of finite sets in the unit ball

Danny Ofek, Satish K. Pandey, Orr Shalit

In this paper we study the relationships between a reproducing kernel Hilbert space, its multiplier algebra, and the geometry of the point set on which they live. We introduce a va…