On the Pompeiu problem and its generalizations

  • V. V. Volchkov

Abstract

Functions are investigated whose integrals over a given collection of sets are zero. Pompeiu sets are described in terms of the approximation of their indicators by linear combinations of the indicators of balls with special radii.
Published
25.10.1993
How to Cite
VolchkovV. V. “On the Pompeiu Problem and Its Generalizations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 45, no. 10, Oct. 1993, pp. 1444–1448, https://umj.imath.kiev.ua/index.php/umj/article/view/5949.
Section
Short communications