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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 193, Pages 130–141
DOI: https://doi.org/10.36535/0233-6723-2021-193-130-141 (Mi into807) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Synthesis in the kernel of the three-way convolution operator

A. A. Tatarkin, A. B. Shishkin

Kuban State University, Krasnodar
Full-text PDF (194 kB) Citations (3)
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DOI: https://doi.org/10.36535/0233-6723-2021-193-130-141
Abstract: One says that an approximation theorem holds for a homogeneous convolution-type equation if any solution of this equation is approximated by its elementary solutions. In this paper, we state a necessary and sufficient condition for the validity of the approximation theorem for the homogeneous equation of three-way convolution for any choice of a convex domain and its characteristic function.
Keywords: exponential synthesis, kernel of operator, convolution-type operator, invariant subspace, analytic function.
Document Type: Article
UDC: 517.5
MSC: 34L05
Language: Russian
Citation: A. A. Tatarkin, A. B. Shishkin, “Synthesis in the kernel of the three-way convolution operator”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 193, VINITI, Moscow, 2021, 130–141
Citation in format AMSBIB
\Bibitem{TatShi21}
\by A.~A.~Tatarkin, A.~B.~Shishkin
\paper Synthesis in the kernel of the three-way convolution operator
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin
readings – XXX”.
Voronezh, May 3-9, 2019. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 193
\pages 130--141
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into807}
\crossref{https://doi.org/10.36535/0233-6723-2021-193-130-141}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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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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