On one extremal problem of Pompeiu sets
We determine upper bounds for the least radius of a ball in which a given set is a Pompeiu set (the set considered is a half right circular cone). The obtained estimates significantly improve known results.
English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 1, pp 71-85.
Citation Example: Elets L. V., Masharov P. A. On one extremal problem of Pompeiu sets // Ukr. Mat. Zh. - 2009. - 61, № 1. - pp. 61-72.