Spectra Of Measures And Wandering Vectors

Keywords

Fourier analysis; Fuglede conjecture; Locally compact abelian groups; Spectral pairs; Spectrum; Unitary one-parameter groups; Wandering

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.

Publication Date

1-1-2015

Publication Title

Proceedings of the American Mathematical Society

Volume

143

Issue

6

Number of Pages

2403-2410

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/S0002-9939-2015-12656-1

Socpus ID

84925796678 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84925796678

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