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

Baggett, Lawrence; Merrill, Kathy

doi:10.1090/S0002-9939-1991-1042261-9

On the cohomological equivalence of a class of functions under an irrational rotation of bounded type
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by Lawrence Baggett and Kathy Merrill PDF

Proc. Amer. Math. Soc. 111 (1991), 787-793 Request permission

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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