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Systems biorthogonal to exponential systems on a finite union of intervals. / Баранов, Антон Дмитриевич; Белов, Юрий Сергеевич; Кузнецов, Александр Сергеевич.

In: Journal of Fourier Analysis and Applications, Vol. 29, No. 2, 23, 05.04.2023.

Research output: Contribution to journal › Article › peer-review

Harvard

Баранов, АД, Белов, ЮС & Кузнецов, АС 2023, 'Systems biorthogonal to exponential systems on a finite union of intervals', Journal of Fourier Analysis and Applications, vol. 29, no. 2, 23. https://doi.org/10.1007/s00041-023-10002-w

APA

Баранов, А. Д., Белов, Ю. С., & Кузнецов, А. С. (2023). Systems biorthogonal to exponential systems on a finite union of intervals. Journal of Fourier Analysis and Applications, 29(2), [23]. https://doi.org/10.1007/s00041-023-10002-w

Vancouver

Баранов АД, Белов ЮС, Кузнецов АС. Systems biorthogonal to exponential systems on a finite union of intervals. Journal of Fourier Analysis and Applications. 2023 Apr 5;29(2). 23. https://doi.org/10.1007/s00041-023-10002-w

Author

Баранов, Антон Дмитриевич ; Белов, Юрий Сергеевич ; Кузнецов, Александр Сергеевич. / Systems biorthogonal to exponential systems on a finite union of intervals. In: Journal of Fourier Analysis and Applications. 2023 ; Vol. 29, No. 2.

BibTeX

@article{60bc8aed124d4cf6ad3d91937e570f24,
title = "Systems biorthogonal to exponential systems on a finite union of intervals",
abstract = "We study the properties of a system biorthogonal to a complete and minimal system of exponentials in L2(E) , where E is a finite union of intervals, and show that in the case when E is a union of two or three intervals the biorthogonal system is also complete.",
keywords = "системы экспонент, преобразование Фурье, биортогональная система, Biorthogonal system, Disconnected spectrum, Exponential system, Paley–Wiener space, Young theorem",
author = "Баранов, {Антон Дмитриевич} and Белов, {Юрий Сергеевич} and Кузнецов, {Александр Сергеевич}",
year = "2023",
month = apr,
day = "5",
doi = "10.1007/s00041-023-10002-w",
language = "English",
volume = "29",
journal = "Journal of Fourier Analysis and Applications",
issn = "1069-5869",
publisher = "Birkhause Boston",
number = "2",

}

RIS

TY - JOUR

T1 - Systems biorthogonal to exponential systems on a finite union of intervals

AU - Баранов, Антон Дмитриевич

AU - Белов, Юрий Сергеевич

AU - Кузнецов, Александр Сергеевич

PY - 2023/4/5

Y1 - 2023/4/5

N2 - We study the properties of a system biorthogonal to a complete and minimal system of exponentials in L2(E) , where E is a finite union of intervals, and show that in the case when E is a union of two or three intervals the biorthogonal system is also complete.

AB - We study the properties of a system biorthogonal to a complete and minimal system of exponentials in L2(E) , where E is a finite union of intervals, and show that in the case when E is a union of two or three intervals the biorthogonal system is also complete.

KW - системы экспонент, преобразование Фурье, биортогональная система

KW - Biorthogonal system

KW - Disconnected spectrum

KW - Exponential system

KW - Paley–Wiener space

KW - Young theorem

UR - https://link.springer.com/article/10.1007/s00041-023-10002-w

UR - https://www.mendeley.com/catalogue/1be1d28a-ff7a-3cdf-bc36-3b20c14f27fb/

U2 - 10.1007/s00041-023-10002-w

DO - 10.1007/s00041-023-10002-w

M3 - Article

VL - 29

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

SN - 1069-5869

IS - 2

M1 - 23

ER -

ID: 115315434