Strungaru, Nicolae2020-10-022022-05-312022-05-312005Strungaru, N. “Almost periodic measures and long range order in Meyer sets”, Discrete and Computational Geometry, 33, 483-505, (2005).https://hdl.handle.net/20.500.14078/1748The 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.enAll Rights Reserveddiffraction patterncomputational mathematicpoint measureperiodic measureBragg peakArticlehttps://doi.org/10.1007/s00454-004-1156-9