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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 509, Pages 83–86
DOI: https://doi.org/10.31857/S2686954322600550 (Mi danma366) 		 
MATHEMATICS

A generalization of the first Beurling–Malliavin theorem

I. M. Vasil'ev

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
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DOI: https://doi.org/10.31857/S2686954322600550
Abstract: In this paper, we announce a result that generalizes the first Beurling–Malliavin theorem. In other words, we give a new sufficient condition on a function guaranteeing that it belongs to the Beurling–Malliavin class of majorants. It is also shown that the main result of this article is sharp in many senses.
Keywords: Fourier transform, spectrum, Hilbert transform, logarithmic integral, Beurling–Malliavin theorem.
Funding agency Grant number
Russian Science Foundation 18-11-00053
This research was supported by the Russian Science Foundation (grant no. 18-11-00053), https://rscf.ru/en/project/18-11-00053/.
Presented: S. V. Kislyakov
Received: 08.09.2022
Revised: 14.11.2022
Accepted: 20.12.2022
English version:
Doklady Mathematics, 2023, Volume 107, Issue 1, Pages 69–71
DOI: https://doi.org/10.1134/S1064562423700539
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: I. M. Vasil'ev, “A generalization of the first Beurling–Malliavin theorem”, Dokl. RAN. Math. Inf. Proc. Upr., 509 (2023), 83–86; Dokl. Math., 107:1 (2023), 69–71
Citation in format AMSBIB
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\by I.~M.~Vasil'ev
\paper A generalization of the first Beurling--Malliavin theorem
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 509
\pages 83--86
\mathnet{http://mi.mathnet.ru/danma366}
\crossref{https://doi.org/10.31857/S2686954322600550}
\elib{https://elibrary.ru/item.asp?id=50436208}
\transl
\jour Dokl. Math.
\yr 2023
\vol 107
\issue 1
\pages 69--71
\crossref{https://doi.org/10.1134/S1064562423700539}
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