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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Equivalence of cocycles under an irrational rotation


Authors: Larry Baggett and Kathy Merrill
Journal: Proc. Amer. Math. Soc. 104 (1988), 1050-1053
MSC: Primary 28D05; Secondary 42A05, 58F11
MathSciNet review: 948146
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Abstract: This paper describes a method for studying the equivalence relation among cocycles for an irrational rotation. A parameterized family of cocycles is presented, which meets the equivalence class of each piecewise absolutely continuous function whose derivative is $ {L^2}$. The difficulties in describing the equivalence among the elements of this family is shown to reduce to the analogous problem for describing equivalence among step functions, thereby relating this paper to the earlier work of Veech, Petersen, Merrill, and others.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0948146-8
PII: S 0002-9939(1988)0948146-8
Article copyright: © Copyright 1988 American Mathematical Society