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A Lee-Yang polynomial $ p(z_{1},\ldots,z_{n}) $ is a polynomial that has no zeros in the polydisc $ \mathbb{D}^{n} $ and its inverse $ (\mathbb{C}\setminus\overline{\mathbb{D}})^{n} $. We show that any real-rooted exponential polynomial of the form $
Externí odkaz:
http://arxiv.org/abs/2303.03201
Autor:
Kurasov, Pavel, Sarnak, Peter
Explicit examples of {\bf positive} crystalline measures and Fourier quasicrystals are constructed using pairs of stable of polynomials, answering several open questions in the area.
Comment: 15 pages, 1 figure
Comment: 15 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2004.05678
Autor:
Pavel Kurasov, Peter Sarnak
Publikováno v:
Journal of Mathematical Physics. 61:083501
Explicit examples of {\bf positive} crystalline measures and Fourier quasicrystals are constructed using pairs of stable of polynomials, answering several open questions in the area.
Comment: 15 pages, 1 figure
Comment: 15 pages, 1 figure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0429b4fd1b3c34b59607726e39adf8a8
https://doi.org/10.1063/5.0012286
https://doi.org/10.1063/5.0012286
