Abstract
We prove that if all shifts of a measure in the Euclidean space are close in a sense to each other, then this measure is close to the Lebesgue one.
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Dudko, A., Favorov, S. A uniformly spread measure criterion. Anal.Math.Phys. 1, 115–119 (2011). https://doi.org/10.1007/s13324-011-0008-z
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DOI: https://doi.org/10.1007/s13324-011-0008-z