1. On weighted Dirac combs supported inside model sets.
- Author
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Strungaru, Nicolae
- Subjects
- *
MATHEMATICAL models , *MATHEMATICS , *SIMULATION methods & models , *AGRICULTURAL innovations , *ACCOUNTING - 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 μ0 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. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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