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Moment conditions for functions with zero integrals over congruent balls
Journal: Matematychni Studii (Vol.39, No. 1)Publication Date: 2013-01-01
Authors : Volchkov V. V.; Volchkov Vit. V.;
Page : 84-92
Keywords : spherical means; mean periodicity;
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Abstract
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.
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Last modified: 2014-01-13 20:09:00