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.
School of Mathematics, University of New South Wales, Post Office Box 1, Kensington, New South Wales 2033, Australia.
G
G
Brown
E
E
Hewitt