Functions with zero ball means on the quaternionic hyperbolic space
Izvestiya. Mathematics , Tome 66 (2002) no. 5, pp. 875-903

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We solve the problem of describing the class of functions with zero integrals over all balls of a common fixed radius on the quaternionic hyperbolic space.
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     author = {Vit. V. Volchkov},
     title = {Functions with zero ball means on the quaternionic hyperbolic space},
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Vit. V. Volchkov. Functions with zero ball means on the quaternionic hyperbolic space. Izvestiya. Mathematics , Tome 66 (2002) no. 5, pp. 875-903. http://geodesic.mathdoc.fr/item/IM2_2002_66_5_a0/