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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 153, Pages 55–68 (Mi into363)  
This article is cited in 1 scientific paper (total in 1 paper)

Pommier Operator in Spaces of Analytic Functions of Several Complex Variables

P. A. Ivanova, S. N. Melikhovab

a Southern Federal University, Rostov-on-Don
b Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz
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Abstract: Pommier operators in spaces of analytic functions of several complex variables are examined. Linear continuous operators that commute with the system of Pommier operators in the space $A(\Omega)$ of analytic functions in a polycylindrical domain $\Omega$ and in the countable inductive limit of Fréchet weighted spaces of entire functions are described. Cyclic vectors of the system of Pommier operators in the space $A(\Omega)$ are studied.
Keywords: Pommier operator, commutant, cyclic vector, analytic function.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 252, Issue 3, Pages 345–359
DOI: https://doi.org/10.1007/s10958-020-05164-7
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 47B38, 47A16, 46E10
Language: Russian
Citation: P. A. Ivanov, S. N. Melikhov, “Pommier Operator in Spaces of Analytic Functions of Several Complex Variables”, Complex analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 153, VINITI, Moscow, 2018, 55–68; J. Math. Sci. (N. Y.), 252:3 (2021), 345–359
Citation in format AMSBIB
\Bibitem{IvaMel18}
\by P.~A.~Ivanov, S.~N.~Melikhov
\paper Pommier Operator in Spaces of Analytic Functions of Several Complex Variables
\inbook Complex analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 153
\pages 55--68
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into363}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3903391}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 252
\issue 3
\pages 345--359
\crossref{https://doi.org/10.1007/s10958-020-05164-7}
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    • This publication is cited in the following 1 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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