Geodesic
On the solvability of the first Cousin problem for a~class of multivalued analytic functions
Izvestiya. Mathematics , Tome 35 (1990) no. 2, pp. 393-409.

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

The construction, by Maslov's method, of global asymptotics of solutions of differential equations on complex analytic manifolds leads to the first Cousin problem for a certain special class of multivalued analytic functions. This problem (having independent interest) is solved in the present paper. Bibliography: 9 titles. 
@article{IM2_1990_35_2_a5,
     author = {B. Yu. Sternin and V. E. Shatalov},
     title = {On the solvability of the first {Cousin} problem for a~class of multivalued analytic functions},
     journal = {Izvestiya. Mathematics },
     pages = {393--409},
     publisher = {mathdoc},
     volume = {35},
     number = {2},
     year = {1990},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1990_35_2_a5/}
}
TY  - JOUR
AU  - B. Yu. Sternin
AU  - V. E. Shatalov
TI  - On the solvability of the first Cousin problem for a~class of multivalued analytic functions
JO  - Izvestiya. Mathematics 
PY  - 1990
SP  - 393
EP  - 409
VL  - 35
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1990_35_2_a5/
LA  - en
ID  - IM2_1990_35_2_a5
ER  - 
%0 Journal Article
%A B. Yu. Sternin
%A V. E. Shatalov
%T On the solvability of the first Cousin problem for a~class of multivalued analytic functions
%J Izvestiya. Mathematics 
%D 1990
%P 393-409
%V 35
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1990_35_2_a5/
%G en
%F IM2_1990_35_2_a5
B. Yu. Sternin; V. E. Shatalov. On the solvability of the first Cousin problem for a~class of multivalued analytic functions. Izvestiya. Mathematics , Tome 35 (1990) no. 2, pp. 393-409. http://geodesic.mathdoc.fr/item/IM2_1990_35_2_a5/

[1] Maslov V. P., Teoriya vozmuschenii i asimptoticheskie metody, MGU, M., 1965

[2] Sternin B. Yu., Shatalov V. E., “O nekotorom integralnom preobrazovanii kompleksnykh analiticheskikh funktsii”, Izv. AN SSSR. Ser. matem., 50:5 (1986), 1054–1076 | MR | Zbl

[3] Sternin B. Yu., Shatalov V. E., “Osobennosti differentsialnykh uravnenii na kompleksno-analiticheskikh mnogoobraziyakh”, Dokl. AN SSSR, 292:5 (1987), 1058–1062 | MR | Zbl

[4] Sternin B. Yu., Shatalov V. E., “Integralnye operatory Laplasa–Radona i osobennosti reshenii differentsialnykh uravnenii na kompleksnykh mnogoobraziyakh”, Globalnyi analiz i matematicheskaya fizika, Voronezh. gos. un-t, Voronezh, 1987, 122–141 | MR

[5] Sternin B. Yu., Shatalov V. E., “Asimptoticheskie razlozheniya reshenii differentsialnykh uravnenii na kompleksnykh mnogoobraziyakh”, Dokl. AN SSSR, 295:1 (1987), 38–41 | Zbl

[6] Khenkin G. M., “Metod integralnykh predstavlenii v kompleksnom analize”, Sovremennye problemy matematiki. Fundamentalnye napravleniya (Itogi nauki i tekhniki), 7, 1985, 23–124 | MR | Zbl

[7] Khermander L., Vvedenie v teoriyu funktsii neskolkikh kompleksnykh peremennykh, Mir, M., 1968 | MR

[8] Iosida K., Funktsionalnyi analiz, Mir, M., 1967 | MR

[9] Ganning R., Rossi X., Analiticheskie funktsii mnogikh kompleksnykh peremennykh, Mir, M., 1969 | MR