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arxiv: 0805.0959 · v1 · submitted 2008-05-07 · 🧮 math.CA · math.CV

A uniformly spread measure criterion

classification 🧮 math.CA math.CV
keywords measureclosecriterioneuclideanlebesgueotherprovesense
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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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