Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/into362
  • https://www.mathnet.ru/eng/into/v153/p29
    • This publication is cited in the following 3 articles:
    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
    Statistics & downloads:
    Abstract page:273
    Full-text PDF :151
    References:26
    First page:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024