Skew products over translations on ${\mathbf T}^d$, $d \geq 2$
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- by Bassam R. Fayad PDF
- Proc. Amer. Math. Soc. 130 (2002), 103-109 Request permission
Abstract:
We give an example on ${\mathbf T}^4$ of a minimal translation $R_\alpha$ and a real analytic function $\varphi$, such that the circle-valued skew product extension of $R_\alpha$ by $\varphi$ has a Lebesgue spectrum in the orthocomplement of the space of eigenfunctions.References
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Additional Information
- Bassam R. Fayad
- Affiliation: Department of Mathematics, McAllister Building, Penn State University, University Park, Pennsylvania 16802-6401
- MR Author ID: 675142
- Email: fayadb@math.psu.edu
- Received by editor(s): May 30, 2000
- Published electronically: July 25, 2001
- Communicated by: Michael Handel
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 103-109
- MSC (2000): Primary 37A25, 37E99
- DOI: https://doi.org/10.1090/S0002-9939-01-06192-5
- MathSciNet review: 1855626