Geodesic
The linear conjugation problem for bianalytic functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2016), pp. 76-81.

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

We consider a classical problem of linear conjugation for bianalytic functions on smooth contour. We obtain explicit formula of a solution to a problem and describe necessary and sufficient conditions of its solvability.
Keywords: problem of linear conjugation, bianalytic function, canonical function
Mots-clés : Cauchy index. 
@article{IVM_2016_12_a8,
     author = {A. P. Soldatov and Tran Quang Vuong},
     title = {The linear conjugation problem for bianalytic functions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {76--81},
     publisher = {mathdoc},
     number = {12},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_12_a8/}
}
TY  - JOUR
AU  - A. P. Soldatov
AU  - Tran Quang Vuong
TI  - The linear conjugation problem for bianalytic functions
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2016
SP  - 76
EP  - 81
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2016_12_a8/
LA  - ru
ID  - IVM_2016_12_a8
ER  - 
%0 Journal Article
%A A. P. Soldatov
%A Tran Quang Vuong
%T The linear conjugation problem for bianalytic functions
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2016
%P 76-81
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2016_12_a8/
%G ru
%F IVM_2016_12_a8
A. P. Soldatov; Tran Quang Vuong. The linear conjugation problem for bianalytic functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2016), pp. 76-81. http://geodesic.mathdoc.fr/item/IVM_2016_12_a8/

[1] Vekua I. N., Novye metody resheniya ellipticheskikh uravnenii, Gostekhizdat, M.–L., 1948 | MR

[2] Balk M. B., “Polianaliticheskie funktsii i ikh obobscheniya”, Itogi nauki i tekhn. Ser. Sovrem. probl. matem. Fundam. napravleniya, 85, 1991, 187–246 | MR | Zbl

[3] Sokolov I. A., “O kraevoi zadache tipa Rimana dlya bianaliticheskikh funktsii v sluchae proizvolnogo kontura”, Izv AN BSSR, ser. fiz.-matem. nauk, 1969, no. 6, 29–38 | MR | Zbl

[4] Rasulov K. M., “O reshenii nekotorykh kraevykh zadach tipa Rimana dlya polianaliticheskikh funktsii”, DAN SSSR, 252:5 (1980), 1059–1063 | MR | Zbl

[5] Gakhov F. D., Kraevye zadachi, 3 izd., Nauka, M., 1977 | MR

[6] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, Nauka, M., 1968 | MR

[7] Averyanov G. N., Soldatov A. P., “Zadacha lineinogo sopryazheniya dlya analiticheskikh funktsii v semeistve vesovykh prostranstv Gëldera”, Izv. vuzov. Matem., 2015, no. 9, 56–61 | MR | Zbl