Moment conditions for functions with zero integrals over congruent balls

Author V. V. Volchkov, Vit. V. Volchkov
valeriyvolchkov@gmail.com
Department of Mathematics and Information Technologies, Donetsk National University

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.
Keywords spherical means; mean periodicity
DOI
doi:10.30970/ms.39.1.84-92
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Pages 84-92
Volume 39
Issue 1
Year 2013
Journal Matematychni Studii
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