2017
Том 69
№ 6

All Issues

On the injectivity of the Pompeiu transform for integral ball means

Ochakovskaya O. A.

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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.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 3, pp 416-424.

Citation Example: Ochakovskaya O. A. On the injectivity of the Pompeiu transform for integral ball means // Ukr. Mat. Zh. - 2011. - 63, № 3. - pp. 361-368.

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