SPECTRAL TYPES OF UNIFORM-DISTRIBUTION
We investigate the spectral types of unitary operator U on L2(T) defined by (Uf)(x) = A(x)f(x + theta), \A(x)\ = 1 a.e., where 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.
- Publisher
- AMER MATHEMATICAL SOC
- Issue Date
- 1994-03
- Language
- English
- Article Type
- Article
- Citation
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.120, no.3, pp.715 - 722
- ISSN
- 0002-9939
- Appears in Collection
- MA-Journal Papers(저널논문)
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