On functions that are trivial cocycles for a set of irrationals
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- by Larry Baggett
- Proc. Amer. Math. Soc. 104 (1988), 1212-1215
- DOI: https://doi.org/10.1090/S0002-9939-1988-0948145-6
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Abstract:
The main result of this paper is that the set of irrationals, for which a given function is a trivial cocycle, must be of the first category, unless the function is the exponential of a trigonometric polynomial.References
- J. Aaronson and M. Nadkarni, ${L_\infty }$ eigenvalues and ${L_2}$ spectra of nonsingular transformations (to appear).
L. Baggett and K. Merrill, Equivalence of cocycles for an irrational rotation (to appear).
- Henry Helson and Kathy D. Merrill, Cocycles on the circle. II, Special classes of linear operators and other topics (Bucharest, 1986) Oper. Theory Adv. Appl., vol. 28, Birkhäuser, Basel, 1988, pp. 121–124. MR 942917
Bibliographic Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 1212-1215
- MSC: Primary 28D05; Secondary 42A05, 58F11
- DOI: https://doi.org/10.1090/S0002-9939-1988-0948145-6
- MathSciNet review: 948145