The problem of separation of variables
Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 2, pp. 227-233.

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

The paper presents a criterion for the admissibility of the separation of variables for a holomorphic function of two variables.
@article{DVMG_2020_20_2_a10,
     author = {V. Ya. Prudnikov},
     title = {The problem of separation of variables},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {227--233},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2020_20_2_a10/}
}
TY  - JOUR
AU  - V. Ya. Prudnikov
TI  - The problem of separation of variables
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2020
SP  - 227
EP  - 233
VL  - 20
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2020_20_2_a10/
LA  - ru
ID  - DVMG_2020_20_2_a10
ER  - 
%0 Journal Article
%A V. Ya. Prudnikov
%T The problem of separation of variables
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2020
%P 227-233
%V 20
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2020_20_2_a10/
%G ru
%F DVMG_2020_20_2_a10
V. Ya. Prudnikov. The problem of separation of variables. Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 2, pp. 227-233. http://geodesic.mathdoc.fr/item/DVMG_2020_20_2_a10/

[1] A. A. Illarionov, “Reshenie funktsionalnykh uravnenii, svyazannykh s ellipticheskimi funktsiyami”, Analiticheskaya teoriya chisel, Sbornik statei. K 80-letiyu so dnya rozhdeniya Anatoliya Alekseevicha Karatsuby, Tr. MIAM, 299, 2017, 105–117 | Zbl

[2] V. A. Bykovskii, “Giperkvazimnogochleny i ikh prilozheniya”, Funkts. analiz i ego prilozheniya, 50:3 (2016), 34–46 | MR | Zbl

[3] R. Rochberg, L. Rubel, “A Functional Ecquation”, Indiana Univ. Math. J., 41:2 (1992), 363–376 | DOI | MR | Zbl

[4] A. A. Illarionov, “Reshenie funktsionalnogo uravneniya, svyazannogo s trilineinymi differentsialnymi operatorami”, Dalnevost. mat. zhurn., 13:2 (2016), 169–180 | MR

[5] V. M. Bukhshtaber, D. V. Leikin, “Trilineinye funktsionalnye uravneniya”, UMN, 60:2(362) (2005), 151–152 | MR | Zbl

[6] V. A. Bykovskii, “O range nechetnykh giperkvazimnogochlenov”, Dokl. RAN, 470:3 (2016), 255–256 | Zbl

[7] A. A. Illarionov, “Funktsionalnoe uravnenie i sigma-funktsiya Veiershtrassa”, Funkts. analiz i ego pril., 50:4 (2016), 43–54 | MR | Zbl

[8] M. O. Avdeeva, V. A. Bykovskii, “Giperellipticheskie sistemy posledovatelnostei i funktsii”, Dalnevost. matem. zhurn., 16:2 (2016), 115–122 | MR | Zbl

[9] A. A. Illarionov, “O proizvedenii dvukh sigma-funktsii Veiershtrassa”, Issledovaniya po lineinym operatoram i teorii funktsii. 46, Zap. nauchn. sem. POMI, 467, POMI, SPb., 2018, 73–84

[10] A. A. Illarionov, M. A. Romanov, “Giperkvazimnogochleny dlya teta-funktsii”, Funkts. analiz i ego pril., 52:3 (2018), 84–87 | MR | Zbl

[11] A. A. Illarionov, “Reshenie funktsionalnykh uravnenii, svyazannykh s ellipticheskimi funktsiyami. II”, Sib. elektron. matem. izv., 16 (2019), 481–492 | Zbl

[12] A. A. Illarionov, “Giperellipticheskie sistemy posledovatelnostei ranga 4”, Matem. sb., 210:9 (2019), 59–88 | MR | Zbl

[13] A. I. Egorov, Obyknovennye differentsialnye uravneniya s prilozheniyami, Gos. izd. fiz.-mat. lit., Moskva, 2005, 384 pp.

[14] B. V. Shabat, Vvedenie v kompleksnyi analiz, ch. II, izd. 2-e, Nauka, Moskva, 1976, 400 pp. | MR