On a theorem of D. Ryabogin and V. Yaskin about detecting symmetry


Abstract


We give a simple deduction of a recent theorem of D. Ryabogin and V. Yaskin, about detecting symmetry of star bodies in Rn with C1 radial functions — via their conical section functions — from an older theorem of us.

DOI Code: 10.1285/i15900932v34n2p1

Keywords: conical section function; convex body; detecting evenness; detecting symmetry; linear integro-differential transformation; Lipschitz functions; radial function; star body

Full Text: PDF
کاغذ a4

Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.