We study functions on a sphere with zero weighted means over the circles of fixed radius. A description of these functions is obtained in the form of series in special functions.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 10, pp. 1332–1347, October, 2014.
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Volchkov, V.V., Savost’yanova, I.M. On One Minkowski–Radon Problem and Its Generalizations. Ukr Math J 66, 1491–1508 (2015). https://doi.org/10.1007/s11253-015-1026-z
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DOI: https://doi.org/10.1007/s11253-015-1026-z