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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 153, Pages 29–54 (Mi into362)  
This article is cited in 3 scientific papers (total in 3 papers)

On Gelfond–Leontiev Operators of Generalized Differentiation

A. V. Bratishchev

Don State Technical University, Rostov-on-Don
Full-text PDF (342 kB) Citations (3)
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Abstract: The notion of the Gelfond–Leontiev operator of generalized differentiation in the space $H(G)$ of analytic functions in a simply connected domain $G$ is extended. Problems on the representation of such operators, the solvability of linear operator equations, the convergence of series of generalized exponentials, etc. are examined.
Keywords: operator of generalized differentiation, series of generalized exponentials, integral representation, multiplier, diagonal operator.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 252, Issue 3, Pages 319–344
DOI: https://doi.org/10.1007/s10958-020-05163-8
Bibliographic databases:
Document Type: Article
UDC: 517.53; 517.983
MSC: 30B40; 46E10; 47B47
Language: Russian
Citation: A. V. Bratishchev, “On Gelfond–Leontiev Operators of Generalized Differentiation”, Complex analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 153, VINITI, Moscow, 2018, 29–54; J. Math. Sci. (N. Y.), 252:3 (2021), 319–344
Citation in format AMSBIB
\Bibitem{Bra18}
\by A.~V.~Bratishchev
\paper On Gelfond--Leontiev Operators of Generalized Differentiation
\inbook Complex analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 153
\pages 29--54
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into362}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3903390}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 252
\issue 3
\pages 319--344
\crossref{https://doi.org/10.1007/s10958-020-05163-8}
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  • https://www.mathnet.ru/eng/into362
  • https://www.mathnet.ru/eng/into/v153/p29
    • This publication is cited in the following 3 articles:
    1. Maria Trybuła, “Multipliers on Spaces of Holomorphic Functions”, Complex Anal. Oper. Theory, 17:6 (2023)  crossref
    2. O. A. Ivanova, S. N. Melikhov, “Hadamard type operators in spaces of holomorphic functions on a ball”, Ufa Math. J., 14:3 (2022), 51–59  mathnet  crossref  mathscinet
    3. O. A. Ivanova, S. N. Melikhov, “Operators of Almost Hadamard-Type and the Hardy–Littlewood Operator in the Space of Entire Functions of Several Complex Variables”, Math. Notes, 110:1 (2021), 61–71  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		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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