Author:
Brown G.,Williamson J. H.
Abstract
AbstractA 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.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Cited by
1 articles.
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1. Raikov systems and abstract harmonic analysis;Bulletin of the Australian Mathematical Society;1983-04