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A class of flows with quasi discrete spectrum

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Abstract

A class of minimal actions of finitely generated abelian groups is constructed. The class contains many non-trivial actions with quasi discrete spectrum and is used to give an ergodic theoretic proof of Weyl's theorem on uniform distribution of polynomials of finitely many variables.

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Fellgett, R. A class of flows with quasi discrete spectrum. Monatshefte f#x00FC;r Mathematik 87, 209–228 (1979). https://doi.org/10.1007/BF01303076

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