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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2024, Volume 233, Pages 107–117
DOI: https://doi.org/10.36535/2782-4438-2024-233-107-117 (Mi into1283) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Completeness of exponential systemsin function spaces in terms of area

B. N. Khabibullina, E. G. Kudashevab

a Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa
b Bashkir State Pedagogical University n. a. M. Akmulla, Ufa
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DOI: https://doi.org/10.36535/2782-4438-2024-233-107-117
Abstract: In this paper, we establish completeness conditions for exponential systems in spaces of functions that are continuous on a compact set with connected complement and holomorphic inside this compact set, in spaces of holomorphic functions in a bounded simply connected domain in terms of the Euclidean area of the convex hull of this compact set or a domain and in terms of some special characteristics or distribution densities of the exponents of the exponential system.
Keywords: completeness, exponential system, Euclidean area, convex hull, support function, entire function of exponential type, root distribution
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FMRS-2022-0124
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (project No. FMRS-2022-0124).
Document Type: Article
UDC: 517.5, 514.17
MSC: 30B60, 30D15, 52A38, 31A05
Language: Russian
Citation: B. N. Khabibullin, E. G. Kudasheva, “Completeness of exponential systemsin function spaces in terms of area”, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 233, VINITI, Moscow, 2024, 107–117
Citation in format AMSBIB
\Bibitem{KhaKud24}
\by B.~N.~Khabibullin, E.~G.~Kudasheva
\paper Completeness of exponential systemsin function spaces in terms of area
\inbook Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2024
\vol 233
\pages 107--117
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1283}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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