On the injectivity of the Pompeiu transform for integral ball means

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

Abstract

An uniqueness theorem is proved for functions in $\mathbb{R}^n, n \geq 2$, with vanishing integrals over balls of fixed radius and a given majorant of growth. The problem of the unimprovability of this theorem is considered.
Published
25.03.2011
How to Cite
OchakovskayaO. A. “On the Injectivity of the Pompeiu Transform for Integral Ball Means”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 3, Mar. 2011, pp. 361-8, https://umj.imath.kiev.ua/index.php/umj/article/view/2722.
Section
Research articles