%0 Journal Article
%T Moment conditions for functions with zero integrals over congruent balls
%A V. V. Volchkov
%A Vit. V. Volchkov
%J Matematychni Studii
%D 2013
%I Lviv Mathematical Society, VNTL Publishers
%X We consider the question of precise conditions ensuring that a function having zero integrals over all balls of fixed radius is equal to zero. We completely investigate the case where together with zero integrals over congruent balls a function has zero first moments over these balls.
%K spherical means
%K mean periodicity
%U http://matstud.org.ua/texts/2013/39_1/84-92.pdf