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Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 1, Pages 155–165
DOI: https://doi.org/10.1070/IM1969v003n01ABEH000760 (Mi im2128) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the representation of entire functions of two complex variables by functional series of Dirichlet type

V. P. Gromov
English version PDF (377 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM1969v003n01ABEH000760
Abstract: We study conditions under which an arbitrary entire function of two complex variables can be represented by means of functional series of Dirichlet type. We give formulas for determining the coefficients in these series and obtain an estimate for the speed of convergence to the functions represented.
Received: 26.06.1969
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1969, Volume 33, Issue 1, Pages 163–173
Bibliographic databases:
UDC: 517.5
MSC: 30D10, 30B50
Language: English
Original paper language: Russian
Citation: V. P. Gromov, “On the representation of entire functions of two complex variables by functional series of Dirichlet type”, Izv. Akad. Nauk SSSR Ser. Mat., 33:1 (1969), 163–173; Math. USSR-Izv., 3:1 (1969), 155–165
Citation in format AMSBIB
\Bibitem{Gro69}
\by V.~P.~Gromov
\paper On the representation of entire functions of two complex variables by functional series of Dirichlet type
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1969
\vol 33
\issue 1
\pages 163--173
\mathnet{http://mi.mathnet.ru/im2128}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=499270}
\zmath{https://zbmath.org/?q=an:0193.03902|0175.37003}
\transl
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 1
\pages 155--165
\crossref{https://doi.org/10.1070/IM1969v003n01ABEH000760}
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  • https://www.mathnet.ru/eng/im/v33/i1/p163
    • 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
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:309
    Russian version PDF:117
    English version PDF:13
    References:45
    First page:1
     
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