Geodesic
Operators in a topological module of entire functions commuting with differentiation on a submodule
Sbornik. Mathematics, Tome 79 (1994) no. 1, pp. 109-116 
A. W. Komarov. Operators in a topological module of entire functions commuting with differentiation on a submodule. Sbornik. Mathematics, Tome 79 (1994) no. 1, pp. 109-116. http://geodesic.mathdoc.fr/item/SM_1994_79_1_a7/
@article{SM_1994_79_1_a7,
     author = {A. W. Komarov},
     title = {Operators in a~topological module of entire functions commuting with differentiation on a~submodule},
     journal = {Sbornik. Mathematics},
     pages = {109--116},
     year = {1994},
     volume = {79},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1994_79_1_a7/}
}
TY  - JOUR
AU  - A. W. Komarov
TI  - Operators in a topological module of entire functions commuting with differentiation on a submodule
JO  - Sbornik. Mathematics
PY  - 1994
SP  - 109
EP  - 116
VL  - 79
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1994_79_1_a7/
LA  - en
ID  - SM_1994_79_1_a7
ER  - 
%0 Journal Article
%A A. W. Komarov
%T Operators in a topological module of entire functions commuting with differentiation on a submodule
%J Sbornik. Mathematics
%D 1994
%P 109-116
%V 79
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1994_79_1_a7/
%G en
%F SM_1994_79_1_a7

Voir la notice de l'article provenant de la source Math-Net.Ru

The general form is found of continuous linear operators in a certain topological module of entire functions of several complex variables, commuting with differentiation on a finitely generated submodule.

[1] Levin B. Ya., Raspredelenie kornei tselykh funktsii, Gostekhizdat, M., 1956

[2] Fage M. K., Nagnibida N. I., Problema ekvivalentnosti obyknovennykh lineinykh differentsialnykh operatorov, Nauka, Novosibirsk, 1987 | MR | Zbl

[3] Vasilev M. V., “Commutants of powers of the differentiation operators in spaces of holomorphic functions”, Proc. of the International Conference on Complex Analysis and Appl., Varna, May 1983, Sofia, 1985, 239–251 | MR | Zbl

[4] Napalkov V. V., Komarov A. V., O razlozhenii analiticheskikh v polioblasti funktsii v ryad po elementarnym resheniyam sistem uravnenii svertki, Preprint IM BNTs UrO AN SSSR, Ufa, 1989 | Zbl

[5] Napalkov V. V., “O bazise v prostranstve reshenii uravneniya svertki”, Matematicheskie zametki, 43:1 (1988), 44–55 | MR | Zbl