This article is cited in 3 papers

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.

UDC: 517.5

MSC: 30D10, 30B50

Received: 26.06.1969

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

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