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Rearranging measures
Published online by Cambridge University Press: 09 April 2009
Abstract
A churning transformation can be defined on probability measures by an infinite sequence of finite permutations of mass. Continuity and absolute continuity of measures are invariants for such transformations but it is shown that certain probability measures whose Fourier-Stieltjes transforms fail to vanish at infinity may be churned into measures whose transforms do vanish in this sense.
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- Copyright © Australian Mathematical Society 1983
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