Products of singular continuous measures

Maclean, Alan

doi:10.1090/S0002-9939-1978-0493171-0

Products of singular continuous measures
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by Alan Maclean PDF

Proc. Amer. Math. Soc. 68 (1978), 85-89 Request permission

Abstract:

Let G be a compact Abelian group. It is shown that if the Fourier transform of $f \in A(G)$ satisfies certain lacunary conditions, then f may be factored as the convolution product of singular continuous measures.

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