On one extremal problem of Pompeiu sets

  • L. V. Elets
  • P. A. Masharov


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.
How to Cite
Elets, L. V., and P. A. Masharov. “On One Extremal Problem of Pompeiu Sets”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 1, Jan. 2009, pp. 61-72, https://umj.imath.kiev.ua/index.php/umj/article/view/3001.
Research articles