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- W2040971345 abstract "Let G be a locally compact abelian group and r its dual. The Fourier transform ,u of a measure /u on G is defined by '(Y) =fG(x, 'y)dMu(x). If ,('y) is equal to 0 or 1 for all 'y in r, we call g idempotent and denote by S(u) the set of those 'y for which j2('y) = 1. Throughout this paper, u4 will be any nonzero idempotent measure on G. Suppose now that G is compact and that /4u has the form d,u(x) = { 1+(-x, Py) }dm(x), where m denotes the Haar measure of G and ,y is an element in r different from 0. If Py has infinite order, then" @default.
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- W2040971345 date "1968-02-01" @default.
- W2040971345 modified "2023-10-15" @default.
- W2040971345 title "On norms of idempotent measures. II" @default.
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- W2040971345 doi "https://doi.org/10.1090/s0002-9939-1968-0228931-8" @default.
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