Injectivity Classes of the Pompeiu Transformation

Authors

  • O. A. Ochakovskaya Ин-т прикл. математики и механики НАН Украины, Донецк

Abstract

New conditions for the injectivity of the Pompeiu transform for integral ball means are obtained. The main results substantially improve some known uniqueness theorems for functions with vanishing integrals over balls of fixed radius.

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Published

25.12.2012

Issue

Vol. 64 No. 12 (2012)

Section

Research articles

How to Cite

Ochakovskaya, O. A. “Injectivity Classes of the Pompeiu Transformation”. Ukrains’kyi Matematychnyi Zhurnal, vol. 64, no. 12, Dec. 2012, pp. 1676-84, https://umj.imath.kiev.ua/index.php/umj/article/view/2690.