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Matematicheskie Zametki, 2023, Volume 113, Issue 5, Pages 633–645
DOI: https://doi.org/10.4213/mzm13576 (Mi mzm13576) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Perturbations of an Integer Sequence as Zero Sets of Divisors in Some Spaces of Entire Functions

N. F. Abuzyarovaab

a Bashkir State University, Ufa
b Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa
Full-text PDF (617 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm13576
Abstract: We consider weighted spaces of entire functions obtained as the images of spaces of ultradistributions of minimal type and normal type on the real line under the Fourier–Laplace transform. The divisors of these spaces are studied. Namely, we find conditions on a perturbing sequence under which the sequence of integers perturbed by it will be the zero set of an entire function that is a divisor of one of the above-mentioned spaces.
Keywords: ultradistribution, zero set, entire function, division theorem, Fourier–Laplace transform, convolution operator.
Funding agency Grant number
Russian Science Foundation 22-21-00026
This work was supported by the Russian Science Foundation under grant no. 22-21-00026, https://rscf.ru/en/project/22-21-00026/.
Received: 05.05.2022
Revised: 19.09.2022
English version:
Mathematical Notes, 2023, Volume 113, Issue 5, Pages 613–623
DOI: https://doi.org/10.1134/S0001434623050012
Bibliographic databases:
Document Type: Article
UDC: 517.547.2+517.538.2+517.984.26
Language: Russian
Citation: N. F. Abuzyarova, “Perturbations of an Integer Sequence as Zero Sets of Divisors in Some Spaces of Entire Functions”, Mat. Zametki, 113:5 (2023), 633–645; Math. Notes, 113:5 (2023), 613–623
Citation in format AMSBIB
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\by N.~F.~Abuzyarova
\paper Perturbations of an Integer Sequence as Zero Sets of Divisors
in Some Spaces of Entire Functions
\jour Mat. Zametki
\yr 2023
\vol 113
\issue 5
\pages 633--645
\mathnet{http://mi.mathnet.ru/mzm13576}
\crossref{https://doi.org/10.4213/mzm13576}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4602423}
\transl
\jour Math. Notes
\yr 2023
\vol 113
\issue 5
\pages 613--623
\crossref{https://doi.org/10.1134/S0001434623050012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85162667110}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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