Geodesic
A~definitive version of the local two-radii theorem on hyperbolic spaces
Izvestiya. Mathematics , Tome 65 (2001) no. 2, pp. 207-229

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper deals with various classes of functions that have zero integrals over all balls of a fixed radius in hyperbolic spaces. We describe these classes in terms of series in special functions and prove a uniqueness theorem. These results enabled us to obtain a definitive version of the local two-radii theorem. 
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     author = {V. V. Volchkov},
     title = {A~definitive version of the local two-radii theorem on hyperbolic spaces},
     journal = {Izvestiya. Mathematics },
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V. V. Volchkov. A~definitive version of the local two-radii theorem on hyperbolic spaces. Izvestiya. Mathematics , Tome 65 (2001) no. 2, pp. 207-229. http://geodesic.mathdoc.fr/item/IM2_2001_65_2_a0/