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

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