Abstract
We obtain a description of the kernel of the local Pompeiu transform for some families of distributions on the sphere.
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Original Russian Text © V. V. Volchkov, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 1, pp. 59–69.
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Volchkov, V.V. On the injectivity of the local Pompeiu transform on the sphere. Math Notes 81, 51–60 (2007). https://doi.org/10.1134/S0001434607010051
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DOI: https://doi.org/10.1134/S0001434607010051