Spectral types of uniform distribution
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- by Geon H. Choe PDF
- Proc. Amer. Math. Soc. 120 (1994), 715-722 Request permission
Abstract:
We investigate the spectral types of unitary operator $U$ on ${L^2}(\mathbb {T})$ defined by $(Uf)(x) = A(x)f(x + \theta ),|A(x)| = 1$ a.e., where $\mathbb {T}$ is the unit circle identified with the half open interval $[0,1)$ and $\theta$ is irrational. It is shown that Veech’s result on the Kronecker-Weyl theorem modulo $2$ is closely related to the spectral type of $U$.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 715-722
- MSC: Primary 47A35; Secondary 11K06, 28D05
- DOI: https://doi.org/10.1090/S0002-9939-1994-1169880-6
- MathSciNet review: 1169880