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Proceedings of the American Mathematical Society

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On the cohomological equivalence of a class of functions under an irrational rotation of bounded type


Authors: Lawrence Baggett and Kathy Merrill
Journal: Proc. Amer. Math. Soc. 111 (1991), 787-793
MSC: Primary 28D05
DOI: https://doi.org/10.1090/S0002-9939-1991-1042261-9
MathSciNet review: 1042261
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Abstract: We prove that a linear combination of positive real powers of $ x$, with integral 0 and equal values at 0 and 1, is a coboundary for any irrational rotation of bounded type. We apply this result to establish the ergodicity of related compact and noncompact skew products.


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DOI: https://doi.org/10.1090/S0002-9939-1991-1042261-9
Article copyright: © Copyright 1991 American Mathematical Society