Geodesic
Functions with ball mean values equal to zero on compact two-point homogeneous spaces
Sbornik. Mathematics, Tome 198 (2007) no. 4, pp. 465-490

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The problem of the description of the class of functions with zero integral over each ball of prescribed radius lying in a fixed ball is solved for compact two-point homogeneous spaces. Bibliography: 35 titles. 
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     author = {Vit. V. Volchkov},
     title = {Functions with ball mean values equal to zero on compact two-point homogeneous spaces},
     journal = {Sbornik. Mathematics},
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     number = {4},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2007_198_4_a1/}
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Vit. V. Volchkov. Functions with ball mean values equal to zero on compact two-point homogeneous spaces. Sbornik. Mathematics, Tome 198 (2007) no. 4, pp. 465-490. http://geodesic.mathdoc.fr/item/SM_2007_198_4_a1/