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 Izv. Akad. Nauk SSSR Ser. Mat., 1969, Volume 33, Issue 1, Pages 163–173 (Mi izv2128)

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

V. P. Gromov

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.

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English version:
Mathematics of the USSR-Izvestiya, 1969, 3:1, 155–165

Bibliographic databases:

UDC: 517.5
MSC: 30D10, 30B50

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/izv2128} \mathscinet{http://www.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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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. P. Gromov, “Representation of functions of several complex variables by functional series”, Math. USSR-Izv., 4:1 (1970), 135–145
2. A. F. Leont'ev, “On representing entire functions of several variables by Dirichlet series”, Math. USSR-Sb., 18:4 (1972), 589–602
3. A. B. Sekerin, “On the representation of analytic functions of several variables by exponential series”, Russian Acad. Sci. Izv. Math., 40:3 (1993), 503–527
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