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.References
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Additional Information
- Dorin Ervin Dutkay
- Affiliation: Department of Mathematics, University of Central Florida, 4000 Central Florida Boulevard, P.O. Box 161364, Orlando, Florida 32816-1364
- MR Author ID: 608228
- Email: Dorin.Dutkay@ucf.edu
- Palle E.T. Jorgensen
- Affiliation: Department of Mathematics, 14 MacLean Hall, University of Iowa, Iowa City, Iowa 52242-1419
- MR Author ID: 95800
- ORCID: 0000-0003-2681-5753
- Email: jorgen@math.uiowa.edu
- Received by editor(s): September 4, 2012
- Published electronically: February 6, 2015
- Communicated by: Alexander Iosevich
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 2403-2410
- MSC (2010): Primary 42A32, 05B45, 43A25
- DOI: https://doi.org/10.1090/S0002-9939-2015-12656-1
- MathSciNet review: 3326023