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Almost periodic measures and long-range order in Meyer sets

dc.contributor.authorStrungaru, Nicolae
dc.date.accessioned2020-10-02
dc.date.accessioned2022-05-31T01:15:22Z
dc.date.available2022-05-31T01:15:22Z
dc.date.issued2005
dc.description.abstractThe main result of this paper is that the diffraction pattern of any Meyer set with a well-defined autocorrelation has a relatively dense set of Bragg peaks. In the second part of the paper we provide a necessary and sufficient condition for a positive pure point measure to have a continuous Fourier transform. In particular, one can get a necessary and sufficient condition for a point set to have no Bragg peaks in its diffraction.
dc.description.urihttps://library.macewan.ca/full-record/edswsc/000227148900007
dc.identifier.citationStrungaru, N. “Almost periodic measures and long range order in Meyer sets”, Discrete and Computational Geometry, 33, 483-505, (2005).
dc.identifier.doihttps://doi.org/10.1007/s00454-004-1156-9
dc.identifier.urihttps://hdl.handle.net/20.500.14078/1748
dc.languageEnglish
dc.language.isoen
dc.rightsAll Rights Reserved
dc.subjectdiffraction pattern
dc.subjectcomputational mathematic
dc.subjectpoint measure
dc.subjectperiodic measure
dc.subjectBragg peak
dc.titleAlmost periodic measures and long-range order in Meyer setsen
dc.typeArticle

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