Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 498, Pages 5–9
DOI: https://doi.org/10.31857/S2686954321030024 (Mi danma168) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Representation of synthesizable differentiation-invariant subspaces of the Schwartz space

N. F. Abuzyarova

Bashkir State University, Ufa, Bashkortostan, Russia
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DOI: https://doi.org/10.31857/S2686954321030024
Abstract: We consider a differentiation-invariant subspace $W$ in the Schwartz space $C^\infty(a;b)$ which admits weak spectral synthesis. We obtain the conditions under which W can be represented as the direct (algebraic and topological) sum of its residual subspace and the closed subspace spanned by the set of exponential monomials contained in $W$.
Keywords: spectral synthesis, invariant subspaces, slowly decreasing function, Beurling–Malliavin density.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation FZWU-2020-0027
This work was supported by the Ministry of Science and Higher Education of the Russian Federation, subject code FZWU-2020-0027.
Presented: V. A. Sadovnichii
Received: 16.12.2020
Revised: 27.04.2021
Accepted: 28.04.2021
English version:
Doklady Mathematics, 2021, Volume 103, Issue 3, Pages 99–102
DOI: https://doi.org/10.1134/S1064562421030029
Bibliographic databases:
Document Type: Article
UDC: 517.538.2+517.518.3+517.984.26+517.547.2
Language: Russian
Citation: N. F. Abuzyarova, “Representation of synthesizable differentiation-invariant subspaces of the Schwartz space”, Dokl. RAN. Math. Inf. Proc. Upr., 498 (2021), 5–9; Dokl. Math., 103:3 (2021), 99–102
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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