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Extremal Versions of the Pompeiu Problem

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We investigate the local Pompeiu problem of functions with zero integrals over balls and cubes and related problems.

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Galibina, N.A. Extremal Versions of the Pompeiu Problem. Ukrainian Mathematical Journal 53, 1801–1808 (2001). https://doi.org/10.1023/A:1015294611743

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