Geodesic
On the representation of entire functions of two complex variables by functional series of Dirichlet type
Izvestiya. Mathematics, Tome 3 (1969) no. 1, pp. 155-165 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{IM2_1969_3_1_a10,
     author = {V. P. Gromov},
     title = {On the representation of entire functions of two complex variables by functional series of {Dirichlet} type},
     journal = {Izvestiya. Mathematics},
     pages = {155--165},
     year = {1969},
     volume = {3},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1969_3_1_a10/}
}
TY  - JOUR
AU  - V. P. Gromov
TI  - On the representation of entire functions of two complex variables by functional series of Dirichlet type
JO  - Izvestiya. Mathematics
PY  - 1969
SP  - 155
EP  - 165
VL  - 3
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/IM2_1969_3_1_a10/
LA  - en
ID  - IM2_1969_3_1_a10
ER  - 
%0 Journal Article
%A V. P. Gromov
%T On the representation of entire functions of two complex variables by functional series of Dirichlet type
%J Izvestiya. Mathematics
%D 1969
%P 155-165
%V 3
%N 1
%U http://geodesic.mathdoc.fr/item/IM2_1969_3_1_a10/
%G en
%F IM2_1969_3_1_a10
V. P. Gromov. On the representation of entire functions of two complex variables by functional series of Dirichlet type. Izvestiya. Mathematics, Tome 3 (1969) no. 1, pp. 155-165. http://geodesic.mathdoc.fr/item/IM2_1969_3_1_a10/

[1] Leontev A. F., “O predstavlenii proizvolnykh tselykh funktsii ryadami Dirikhle”, Dokl. AN SSSR, 165:4 (1965), 759–772 | MR

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

[3] Gromov V. P., “O predstavlenii proizvolnoi funktsii dvukh kompleksnykh peremennykh dvoinymi funktsionalnymi ryadami tipa ryadov Dirikhle”, Izv. AN SSSR. Ser. matem., 32 (1968), 621–632 | MR | Zbl