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On the injectivity of the Pompeiu transform for integral ball means |
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| Authors: | O A Ochakovskaya |
| Institution: | 1.Donetsk,Ukraine |
| Abstract: | A uniqueness theorem is proved for functions defined in \mathbb Rn, n 3 2 {{\mathbb R}^n}, {n \geq 2} , with vanishing integrals over the balls of fixed radius and a given majorant of growth. The problem of unimprovability of this theorem is analyzed. |
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