SPECTRAL TYPES OF UNIFORM-DISTRIBUTION

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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
ENG
Article Type
Article
Appears in Collection
MA-Journal Papers(저널논문)
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