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On the powers of maximal ideals in the measure algebra. (English) Zbl 1354.43003
The author of the paper under review, for a locally compact abelian group, considers the corresponding measure algebra and studies powers of maximal ideals in terms of the derivatives of the Fourier-Laplace transform of compactly supported measures. He shows that if the locally compact abelian group has sufficiently many real characters, then all derivatives of the Fourier-Laplace transform of a measure at some point of its spectrum completely characterize the measure.
43A25 Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
43A45 Spectral synthesis on groups, semigroups, etc.
22D15 Group algebras of locally compact groups
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