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On a theorem of Reiter and spectral synthesis

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Kaniuth, Eberhard

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Abstract

Motivated by and extending a theorem of Reiter on sets of synthesis in , we establish a general result for Fourier algebras of locally compact groups, even in the wider context of regular, semisimple and Tauberian commutative Banach algebras, which contains Reiter's theorem as a special case and explains why it holds. In addition, we give a number of examples and several further results on weak spectral sets.

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Springer Wien

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Mathematics

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Monatshefte fur Mathematik

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10.1007/s00605-016-0885-1

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