Geodesic
A definitive version of the local two-radii theorem
Sbornik. Mathematics, Tome 186 (1995) no. 6, pp. 783-802 Cet article a éte moissonné depuis la source Math-Net.Ru

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Various classes of functions with zero integrals over all balls of a fixed radius are studied. For functions in such classes a description in the form of a series in special functions is obtained and a uniqueness theorem is proved. These results make it possible to solve completely the problem of existence of a non-trivial function with zero integrals over all balls of radius assuming either of two given values. 
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     title = {A definitive version of the~local two-radii theorem},
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     url = {http://geodesic.mathdoc.fr/item/SM_1995_186_6_a1/}
}
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V. V. Volchkov. A definitive version of the local two-radii theorem. Sbornik. Mathematics, Tome 186 (1995) no. 6, pp. 783-802. http://geodesic.mathdoc.fr/item/SM_1995_186_6_a1/

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