Видеотека: Ю. С. Белов, Density of complete and minimal systems of time frequency shifts of Gaussians

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Международная конференция «VIII Российско-Армянское Совещание по математической физике, комплексному анализу и смежным вопросам» 16 сентября 2019 г. 14:45, г. Москва, МИАН, 9-й этаж

Density of complete and minimal systems of time frequency shifts of Gaussians Ю. С. Белов Санкт-Петербургский государственный университет
Аннотация: It was shown by Ascenzi, Lyubarskii, Seip that the upper density of any complete and minimal system of Gaussians is between $\frac{2}{\pi}$ and 1, if we know that there exists an angular density. It was an open question whether it is true in general. We will show that there exists a complete and minimal system with upper density $\dfrac{1}{\pi}$, and that the uppper density of any such system is larger than $\dfrac{1}{3\pi}$. The talk is based on work in collaboration with A. Borichev and A. Kuznetsov. Язык доклада: английский