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Stable polynomials and crystalline measures. (English) Zbl 1459.05177

Summary: Explicit examples of positive crystalline measures and Fourier quasicrystals are constructed using pairs of stable polynomials, answering several open questions in the area.

MSC:

05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
52C23 Quasicrystals and aperiodic tilings in discrete geometry
46F12 Integral transforms in distribution spaces
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References:

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