Yossi Lonke

activity

19972026

collaborators

9 papers

math.FA2026

On Rotationally Symmetric Norms

Yossi Lonke

For two-dimensional norms that generate rotationally-symmetric norms in all higher dimensions, necessary and sufficient conditions are established for them to be subspaces of $L_{1}$ …

math.AG2021

The dlt motivic zeta function is not well-defined

Johannes Nicaise, Naud Potemans, Willem Veys

In arXiv:1408.4708, Xu defines the dlt motivic zeta function associated to a regular function $f$ on a smooth variety $X$ over a field of characteristic zero. This is an adaptation…

math.FA2021

The real part of the complementary error function

Yossi Lonke

It is shown that the real part of the complementary error function is bounded below by 1 in the subset of the complex plane where the principal argument is between $3 π /4$ and $5π/4…

math.FA2020

On a question of Pietch

Yossi Lonke

The main result is that a finite dimensional normed space embeds isometrically in $ℓ_{p}$ if and only if it has a discrete Levy $p$ -representation. This provides an alternative an…

math.FA2020

Shadows of Cube Vertices

Yossi Lonke

Suppose that a finite-dimensional cube is orthogonally projected onto a central section of itself by a subspace of one dimension less. Up to dimension $9$ , at least one vertex is p…

math.MG2020

A characterisation of zonoids

Yossi Lonke

Let $K$ be a unit ball of some norm in $R^{n}$ . For an arbitrary direction $u \in R^{n}$ , there is associated a unit-ball $K_{u}$ , which is rotationally invariant with respect to rotation…

math.MG2001

Derivatives of the L^p cosine transform

Yossi Lonke

The $L^{p}$ -cosine transform of an even, continuous function $f\in C_e(\Sn)$ is defined by: $$H(x)=\int_{\Sn}|\ip{x}ξ|^pf(ξ) dξ,\quad x\in {\R}^n.$$ It is shown that if $p$ is not an…

math.PR1998

On random sections of the cube

Yossi Lonke

Let $f (j, k, n)$ denote the expected number of $j$ -faces of a random $k$ -section of the $n$ -cube. A formula for $f (0, k, n)$ is presented, and for $j \geq 1$ , a lower bound for $f(j,k,n…

math.MG1997

On zonoids whose polars are zonoids

Yossi Lonke

Zonoids whose polars are zonoids cannot have proper faces of dimension other than $n - 1$ or zero ( $n \geq 3$ ). However, there exist non smooth zonoids whose polars are zonoids. Examp…