Geodesic
Generalized interpolation problem of the Korevaar--Dixon type
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex Analysis. Mathematical Physics, Tome 162 (2019), pp. 25-33.

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

In this paper, we study the generalized interpolation problem in the class of entire functions of exponential type defined by a certain majorant from the convergence class.
Mots-clés : interpolation sequence, convergence class
Keywords: entire function, $\overline{\partial}$-problem. 
@article{INTO_2019_162_a2,
     author = {R. A. Gaisin},
     title = {Generalized interpolation problem of the {Korevaar--Dixon} type},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {25--33},
     publisher = {mathdoc},
     volume = {162},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_162_a2/}
}
TY  - JOUR
AU  - R. A. Gaisin
TI  - Generalized interpolation problem of the Korevaar--Dixon type
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2019
SP  - 25
EP  - 33
VL  - 162
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2019_162_a2/
LA  - ru
ID  - INTO_2019_162_a2
ER  - 
%0 Journal Article
%A R. A. Gaisin
%T Generalized interpolation problem of the Korevaar--Dixon type
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2019
%P 25-33
%V 162
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2019_162_a2/
%G ru
%F INTO_2019_162_a2
R. A. Gaisin. Generalized interpolation problem of the Korevaar--Dixon type. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex Analysis. Mathematical Physics, Tome 162 (2019), pp. 25-33. http://geodesic.mathdoc.fr/item/INTO_2019_162_a2/

[1] Gaisin A. M., Tselye funktsii: osnovy klassicheskoi teorii s prilozheniyami k issledovaniyam po kompleksnomu analizu, RITs BashGU, Ufa, 2016

[2] Gaisin R. A., “Interpolyatsionnaya zadacha Pavlova—Korevara—Diksona s mazhorantoi iz klassa skhodimosti”, Ufim. mat. zh., 9:4 (2017), 22–35 | MR

[3] Garnett Dzh., Ogranichennye analiticheskie funktsii, Mir, M., 1984

[4] Katsnelson V. E., “Tselye funktsii klassa Kartrait s neregulyarnym povedeniem”, Funkts. anal. prilozh., 10:4 (1976), 35–44 | MR | Zbl

[5] Leontev A. F., Ryady eksponent, Nauka, M., 1976 | MR

[6] Berndtsson B., “A note on Pavlov–Korevaar–Dixon interpolation”, Indag. Math., 40:4 (1978), 409–414 | DOI | MR | Zbl