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Matematicheskie Zametki, 2021, Volume 109, Issue 1, Pages 107–116
DOI: https://doi.org/10.4213/mzm12491 (Mi mzm12491) 		 
Interpolation by Generalized Exponential Series

S. G. Merzlyakov

Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center
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DOI: https://doi.org/10.4213/mzm12491
Abstract: We prove an analogue of one of Cesàro's results and use it to study the problem of interpolation by generalized exponential series, namely, by series whose terms themselves are Dirichlet series.
Keywords: holomorphic function, Cesàro's theorem, Dirichlet series, interpolation with nodes on the real axis.
Received: 24.06.2019
English version:
Mathematical Notes, 2021, Volume 109, Issue 1, Pages 94–101
DOI: https://doi.org/10.1134/S0001434621010119
Bibliographic databases:
Document Type: Article
UDC: 517.57
Language: Russian
Citation: S. G. Merzlyakov, “Interpolation by Generalized Exponential Series”, Mat. Zametki, 109:1 (2021), 107–116; Math. Notes, 109:1 (2021), 94–101
Citation in format AMSBIB
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\by S.~G.~Merzlyakov
\paper Interpolation by Generalized Exponential Series
\jour Mat. Zametki
\yr 2021
\vol 109
\issue 1
\pages 107--116
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\crossref{https://doi.org/10.4213/mzm12491}
\transl
\jour Math. Notes
\yr 2021
\vol 109
\issue 1
\pages 94--101
\crossref{https://doi.org/10.1134/S0001434621010119}
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