Injectivity Classes of the Pompeiu Transformation
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.
English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 12, pp 1893-1902.
Citation Example: Ochakovskaya O. A. Injectivity Classes of the Pompeiu Transformation // Ukr. Mat. Zh. - 2012. - 64, № 12. - pp. 1676-1684.