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Ergodic measures for the irrational rotation on the circle
Published online by Cambridge University Press: 09 April 2009
Abstract
Riesz products are employed to give a construction of quasi-invariant ergodic measures under the irrational rotation of T. By suitable choice of the parameters such measures may be required to have Fourier-Stieltjes coefficients vanishing at infinity. We show further that these are the unique quasi-invariant measures on T with their associated Radon-Nikodym derivative.
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- Copyright © Australian Mathematical Society 1988
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