Geodesic
Radial majorants of functions with zero integrals over balls of a~fixed radius
Izvestiya. Mathematics , Tome 78 (2014) no. 3, pp. 580-595.

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

We study the problem of the existence of a non-zero function with a given radial majorant and zero integrals over all balls of a fixed radius. We consider the case when the function is defined in a domain containing a half-space.
Keywords: spherical means, mean periodicity. 
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O. A. Ochakovskaya. Radial majorants of functions with zero integrals over balls of a~fixed radius. Izvestiya. Mathematics , Tome 78 (2014) no. 3, pp. 580-595. http://geodesic.mathdoc.fr/item/IM2_2014_78_3_a7/

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