On the powers of maximal ideals in the measure algebra (Q277368)

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scientific article; zbMATH DE number 6575516
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English
On the powers of maximal ideals in the measure algebra
scientific article; zbMATH DE number 6575516

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    On the powers of maximal ideals in the measure algebra (English)
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    29 April 2016
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    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.
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    group algebra
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    spectral analysis
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    spectral synthesis
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    annihilator
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    exponential monomial
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