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Zwei metrische Vererbungssätze in der Theorie der Gleichverteilung

Two metric hereditary theorems in the theory of uniform distribution

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Abstract

This article deals with a transformation on real sequences and studies under which conditions the new sequence is surely weakly well distributed. Furthermore a condition is presented when the new sequence is surely not well distributed. Both theorems can be generalized to Abelian compact divisible groups with countable base.

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Drmota, M. Zwei metrische Vererbungssätze in der Theorie der Gleichverteilung. Monatshefte für Mathematik 103, 259–268 (1987). https://doi.org/10.1007/BF01318068

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  • DOI: https://doi.org/10.1007/BF01318068

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