Work

On weighted Dirac combs supported inside model sets

Year: 2014
Type: article
Abstract: In this paper we prove that given a weakly almost periodic measure μ supported inside some model set with closed window W , then the strongly almost periodic component and the null weakly almost periodic component μ 0 are both supported inside . As a consequence we prove that given any translation bounded measure ω , supported inside some model set, then each of the pure point diffraction spectrum and the continuous diffraction spectrum is either trivial or has a relatively dense support.
Author: Nicolae Strungaru
Language: English
Open Access status: bronze
OpenAlex ID: W2014224175
FWCI: 0.598
Cites: 26
Cited by: 18
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