Centrally symmetric convex bodies and the spherical Radon transform

P Goodey, W Weil - Journal of Differential Geometry, 1992 - projecteuclid.org
This work comprises part of a study of the relationships between Radon transforms and
centrally symmetric convex bodies in^-dimensional Euclidean space E, d> 2. Here we will …

On the local equatorial characterization of zonoids and intersection bodies

F Nazarov, D Ryabogin, A Zvavitch - Advances in Mathematics, 2008 - Elsevier
In this paper we show that there is no local equatorial characterization of zonoids in odd
dimensions. This gives a negative answer to the conjecture posed by W. Weil in 1977 and …

Spectroscopic measurement of plume emission from femtosecond laser ablation

D Moreau, O Albert, R Benzerga, C Boulmer-Leborgne… - Thin Solid Films, 2004 - Elsevier
We present a time and space resolved emission spectroscopy technique that enables a full
characterisation in three dimensions density of emitting species generated by femtosecond …

A Flag Representation for a n-Dimensional Convex Body

R Aramyan - The Journal of Geometric Analysis, 2019 - Springer
The cosine representation of the support function of a centrally symmetric convex body plays
a fundamental role in integral geometry. In this article, one new so-called flag representation …

The sine representation of centrally symmetric convex bodies

RH Aramyan - Journal of Contemporary Mathematical Analysis …, 2018 - Springer
The problem of the sine representation for the support function of centrally symmetric convex
bodies is studied. We describe a subclass of centrally symmetric convex bodies which is …

Zonoids with an equatorial characterization

R Aramyan - Applications of Mathematics, 2016 - Springer
It is known that a local equatorial characterization of zonoids does not exist. The question
arises: Is there a subclass of zonoids admitting a local equatorial characterization. In this …

Local properties of intertwining operators on the sphere

P Goodey, W Weil - Advances in Mathematics, 2011 - Elsevier
Blaschkeʼs original question regarding the local determination of zonoids (or projection
bodies) has been the subject of much research over the years. In recent times this research …

Local and equatorial characterization of unit balls of subspaces of Lp, p> 0 and properties of the generalized cosine transform

J Schlaerth - Journal of mathematical analysis and applications, 2011 - Elsevier
In this paper we show that there is no local equatorial characterization of bodies that embed
in L p in odd dimensions for all p not even, 0< p<∞. However, bodies that embed in L p for p …

[PDF][PDF] Sommes de Minkowski de triangles

M Rousset - HAL, 1996 - theses.hal.science
Ce travail concerne des problèmes géométriques sur des polytopes nouveaux: les sommes
de Minkowski de triangles. L'origine de ce problème est une modélisation géométrique de la …

Minkowski Addition of Triangles

M Rousset - 1996 - theses.hal.science
La modélisation géométrique d'un problème de gestion de la fabrication des mélanges
(faisabilité simultanée de deux mélanges) fait apparaître des polytopes nouveaux résultant …