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Matematicheskie Zametki, 1973, Volume 14, Issue 6, Pages 769–780 (Mi mzm7295)  
This article is cited in 6 scientific papers (total in 6 papers)

The representation of analytic functions by Dirichlet series at the boundary of the convergence domain

V. K. Dzyadyka, E. K. Krutigolova

a Mathematics Institute, Academy of Sciences of the Ukrainian SSR
Full-text PDF (734 kB) Citations (6)
Abstract: Examples of entire functions are given, whose Dirichlet series diverge in all points of the boundary of the convergence domain of these series; we investigate the summability problems of such series.
Received: 30.03.1973
English version:
Mathematical Notes, 1973, Volume 14, Issue 6, Pages 999–1005
DOI: https://doi.org/10.1007/BF01099581
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. K. Dzyadyk, E. K. Krutigolova, “The representation of analytic functions by Dirichlet series at the boundary of the convergence domain”, Mat. Zametki, 14:6 (1973), 769–780; Math. Notes, 14:6 (1973), 999–1005
Citation in format AMSBIB
\Bibitem{DzyKru73}
\by V.~K.~Dzyadyk, E.~K.~Krutigolova
\paper The representation of analytic functions by Dirichlet series at the boundary of the convergence domain
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 6
\pages 769--780
\mathnet{http://mi.mathnet.ru/mzm7295}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=333129}
\zmath{https://zbmath.org/?q=an:0282.30005}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 6
\pages 999--1005
\crossref{https://doi.org/10.1007/BF01099581}
Linking options:
  • https://www.mathnet.ru/eng/mzm7295
  • https://www.mathnet.ru/eng/mzm/v14/i6/p769
    • This publication is cited in the following 6 articles:
    1. A. M. Sedletskii, “Decomposition of an analytic function into a sum of periodic functions”, Math. USSR-Izv., 25:1 (1985), 163–181  mathnet  crossref  mathscinet  zmath
    2. N. P. Korneichuk, S. M. Nikol'skii, I. A. Shevchuk, “Vladislav Kirillovich Dzyadyk (on his sixtieth birthday)”, Russian Math. Surveys, 34:4 (1979), 213–221  mathnet  crossref  mathscinet  zmath
    3. E. K. Krutigolova, “Representation of analytic functions by dirichlet series on the boundaries of closed convex polygon domains”, Ukr Math J, 27:4 (1976), 420  crossref
    4. Yu. I. Mel'nik, “On the representation of regular functions by Dirichlet series in a closed disk”, Math. USSR-Sb., 26:4 (1975), 449–457  mathnet  crossref  mathscinet  zmath
    5. E. K. Krutigolova, “The behavior of a Dirichlet series on the boundary of a region of convergence”, Ukr Math J, 27:2 (1975), 187  crossref
    6. V. K. Dzyadyk, “On convergence conditions for Dirichlet series on closed polygons”, Math. USSR-Sb., 24:4 (1974), 463–481  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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