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Search: All articles in the CMB digital archive with keyword diffraction

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1. CMB 2011 (vol 55 pp. 487)

Deng, Xinghua; Moody, Robert V.
Weighted Model Sets and their Higher Point-Correlations
Examples of distinct weighted model sets with equal $2,3,4, 5$-point correlations are given.

Keywords:model sets, correlations, diffraction
Categories:52C23, 51P05, 74E15, 60G55

2. CMB 2011 (vol 54 pp. 544)

Strungaru, Nicolae
Positive Definite Measures with Discrete Fourier Transform and Pure Point Diffraction
In this paper we characterize the positive definite measures with discrete Fourier transform. As an application we provide a characterization of pure point diffraction in locally compact Abelian groups.

Keywords:pure point diffraction, positive definite measure, Fourier transform of measures

3. CMB 2002 (vol 45 pp. 483)

Baake, Michael
Diffraction of Weighted Lattice Subsets
A Dirac comb of point measures in Euclidean space with bounded complex weights that is supported on a lattice $\varGamma$ inherits certain general properties from the lattice structure. In particular, its autocorrelation admits a factorization into a continuous function and the uniform lattice Dirac comb, and its diffraction measure is periodic, with the dual lattice $\varGamma^*$ as lattice of periods. This statement remains true in the setting of a locally compact Abelian group whose topology has a countable base.

Keywords:diffraction, Dirac combs, lattice subsets, homometric sets
Categories:52C07, 43A25, 52C23, 43A05

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