Geodesic
On the representation of arbitrary functions of two complex
Izvestiya. Mathematics , Tome 2 (1968) no. 3, pp. 573-584.

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We investigate the question of representing a function $F(z,s)$ by a functional series of the form \begin{equation} \sum^\infty_{n,k=1}a_{nk}A(z,s,\lambda_n,\mu_k), \tag{1} \end{equation} where $A(z,s,\lambda,\mu)$ is a function of sufficiently general character. We establish a rule by which an arbitrary function $F(z,s)$ can be put into correspondence with a series of the form (1), and also establish a formula for the difference between $F(z,s)$ and a partial sum of the series (1). 
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V. P. Gromov. On the representation of arbitrary functions of two complex. Izvestiya. Mathematics , Tome 2 (1968) no. 3, pp. 573-584. http://geodesic.mathdoc.fr/item/IM2_1968_2_3_a4/

[1] Leontev A. F., “O predstavlenii tselykh funktsii nekotorymi obschimi ryadami”, Matem. sb., 71(113) (1966), 3–13 | MR

[2] Leontev A. F., “O predstavlenii funktsii posledovatelnostyami polinomov Dirikhle”, Matem. sb., 70(112) (1966), 132–144 | MR

[3] Leontev A. F., “K voprosu o predstavlenii proizvolnykh funktsii nekotorymi obschimi ryadami”, Matem. zametki, 1:6 (1967), 689–698 | MR