no. 11-12
Analyse harmonique
Fourier Quasicrystals with Unit Masses
Olevskii, Alexander1 ; Ulanovskii, Alexander2 
1 School of Mathematics, Tel Aviv University, 69978 Ramat Aviv, Israel.
2 Stavanger University, 4036 Stavanger, Norway.
Comptes Rendus. Mathématique, Tome 358 (2020) no. 11-12, pp. 1207-1211.

The sum of δ-measures sitting at the points of a discrete set Λ⊂ℝ forms a Fourier quasicrystal if and only if Λ is the zero set of an exponential polynomial with imaginary frequencies.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.142
Olevskii, Alexander 1 ; Ulanovskii, Alexander 2

1 School of Mathematics, Tel Aviv University, 69978 Ramat Aviv, Israel.
2 Stavanger University, 4036 Stavanger, Norway. 
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Olevskii, Alexander; Ulanovskii, Alexander. Fourier Quasicrystals with Unit Masses. Comptes Rendus. Mathématique, Tome 358 (2020) no. 11-12, pp. 1207-1211. doi : 10.5802/crmath.142. http://www.numdam.org/articles/10.5802/crmath.142/

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[9] Olevskii, Alexander; Ulanovskii, Alexander Fourier quasicrystals with unit masses (2020) (https://arxiv.org/abs/2009.12810)

[10] Olevskii, Alexander; Ulanovskii, Alexander A Simple Crystalline Measure (2020) (https://arxiv.org/abs/2006.12037)

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