Upper and lower densities of Gabor Gaussian systems

Yurii Belov, Alexander Borichev, Alexander Kuznetsov

Research output


We study the upper and the lower densities of complete and minimal Gabor Gaussians systems. In contrast to the classical lattice case when they are both equal to 1, we prove that the lower density may reach 0 while the upper density may vary at least from [Formula presented] to e. In the case when the upper density exceeds 1, we establish a sharp inequality relating the upper and the lower densities.

Original languageEnglish
Pages (from-to)438-450
Number of pages13
JournalApplied and Computational Harmonic Analysis
Issue number2
Early online date23 May 2020
Publication statusPublished - 1 Sep 2020

Scopus subject areas

  • Applied Mathematics

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