Spectra of measures and wandering vectors

Dutkay, Dorin; Jorgensen, Palle

doi:10.1090/S0002-9939-2015-12656-1

Spectra of measures and wandering vectors
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by Dorin Ervin Dutkay and Palle E.T. Jorgensen PDF

Proc. Amer. Math. Soc. 143 (2015), 2403-2410 Request permission

Abstract:

We present a characterization of the sets that appear as Fourier spectra of measures in terms of the existence of a strongly continuous representation of the ambient group that has a wandering vector for the given set.

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