Yossi Lonke

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19982026

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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…