Some new singular Fourier-Stieltjes series.
Singular continuous probability measures on the circle group are constructed whose Fourier-Stieltjes transforms converge to zero very rapidly and also have positive partial sums. Partial results for the line and for arbitary compact infinite Abelian groups are also obtained.
Brown
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School of Mathematics, University of New South Wales, Post Office Box 1, Kensington, New South Wales 2033, Australia.
Hewitt
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