On the Pompeiu problem and its generalizations

Authors

  • 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.

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Published

25.10.1993

Issue

Vol. 45 No. 10 (1993)

Section

Short communications

How to Cite

Volchkov, V. 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.