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Upper and lower densities of Gabor Gaussian systems. / Belov, Yurii; Borichev, Alexander; Kuznetsov, Alexander.

в: Applied and Computational Harmonic Analysis, Том 49, № 2, 01.09.2020, стр. 438-450.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Belov, Y, Borichev, A & Kuznetsov, A 2020, 'Upper and lower densities of Gabor Gaussian systems', Applied and Computational Harmonic Analysis, Том. 49, № 2, стр. 438-450. https://doi.org/10.1016/j.acha.2020.05.003

APA

Belov, Y., Borichev, A., & Kuznetsov, A. (2020). Upper and lower densities of Gabor Gaussian systems. Applied and Computational Harmonic Analysis, 49(2), 438-450. https://doi.org/10.1016/j.acha.2020.05.003

Vancouver

Belov Y, Borichev A, Kuznetsov A. Upper and lower densities of Gabor Gaussian systems. Applied and Computational Harmonic Analysis. 2020 Сент. 1;49(2):438-450. https://doi.org/10.1016/j.acha.2020.05.003

Author

Belov, Yurii ; Borichev, Alexander ; Kuznetsov, Alexander. / Upper and lower densities of Gabor Gaussian systems. в: Applied and Computational Harmonic Analysis. 2020 ; Том 49, № 2. стр. 438-450.

BibTeX

@article{1a055b382cbb4c80a9dc29dbaa776c2e,
title = "Upper and lower densities of Gabor Gaussian systems",
abstract = "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.",
keywords = "INTERPOLATION, THEOREMS",
author = "Yurii Belov and Alexander Borichev and Alexander Kuznetsov",
year = "2020",
month = sep,
day = "1",
doi = "10.1016/j.acha.2020.05.003",
language = "English",
volume = "49",
pages = "438--450",
journal = "Applied and Computational Harmonic Analysis",
issn = "1063-5203",
publisher = "Elsevier",
number = "2",

}

RIS

TY - JOUR

T1 - Upper and lower densities of Gabor Gaussian systems

AU - Belov, Yurii

AU - Borichev, Alexander

AU - Kuznetsov, Alexander

PY - 2020/9/1

Y1 - 2020/9/1

N2 - 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.

AB - 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.

KW - INTERPOLATION

KW - THEOREMS

UR - http://www.scopus.com/inward/record.url?scp=85085476469&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/1ea2fe1f-7b21-31fc-a85a-f456c197df8d/

U2 - 10.1016/j.acha.2020.05.003

DO - 10.1016/j.acha.2020.05.003

M3 - Article

AN - SCOPUS:85085476469

VL - 49

SP - 438

EP - 450

JO - Applied and Computational Harmonic Analysis

JF - Applied and Computational Harmonic Analysis

SN - 1063-5203

IS - 2

ER -

ID: 54000209