Abstract
LetT be the unit circle, α irrational andF: T → R a step function. A necessary and sufficient condition for the skew of the α-rotation byf (considered as taking values mod 1) to be minimal is given. Also, the boundedness of Σ n i=1 f(x+iα asn → α is resolved.
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Oren, I. Admissible functions with multiple discontinuities. Israel J. Math. 42, 353–360 (1982). https://doi.org/10.1007/BF02761417
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DOI: https://doi.org/10.1007/BF02761417