Yossi Lonke

activity

19982021

collaborators

6 papers

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…