Summary equation for functions analytical outside a~quadrangle
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 3-7.

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

We investigate a four-element functional equation in a class of functions holomorphic outside a quadrangle and vanishing at infinity. We construct a system of entire functions of complete regular growth, which is biorthogonal to a power system on three rays with piecewise-exponential weight.
Keywords: equivalent regularization, moment problem for entire functions of exponential type.
Mots-clés : Carleman problem
@article{IVM_2016_10_a0,
     author = {F. N. Garif'yanov},
     title = {Summary equation for functions analytical outside a~quadrangle},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--7},
     publisher = {mathdoc},
     number = {10},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_10_a0/}
}
TY  - JOUR
AU  - F. N. Garif'yanov
TI  - Summary equation for functions analytical outside a~quadrangle
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2016
SP  - 3
EP  - 7
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2016_10_a0/
LA  - ru
ID  - IVM_2016_10_a0
ER  - 
%0 Journal Article
%A F. N. Garif'yanov
%T Summary equation for functions analytical outside a~quadrangle
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2016
%P 3-7
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2016_10_a0/
%G ru
%F IVM_2016_10_a0
F. N. Garif'yanov. Summary equation for functions analytical outside a~quadrangle. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 3-7. http://geodesic.mathdoc.fr/item/IVM_2016_10_a0/

[1] Garifyanov F. N., Modina S. A., “O chetyrekhelementnom uravnenii dlya funktsii, analiticheskikh vne trapetsii, i ego prilozheniyakh”, Sib. matem. zhurn., 52:2 (2011), 243–249 | MR | Zbl

[2] Zverovich E. I., “Metod lokalno-konformnogo skleivaniya”, DAN SSSR, 205:4 (1972), 767–770 | Zbl

[3] Aksenteva E. P., Garifyanov F. N., “K issledovaniyu integralnogo uravneniya s yadrom Karlemana”, Izv. vuzov. Matem., 1983, no. 4, 43–51 | MR | Zbl

[4] Biberbakh L., Analiticheskoe prodolzhenie, Nauka, M., 1967 | MR

[5] Levin B. Ya., Raspredelenie kornei tselykh funktsii, GITTL, M., 1956

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

[7] Garifyanov F. N., “O probleme momentov dlya tselykh funktsii eksponentsialnogo tipa”, Izv. vuzov. Matem., 2003, no. 6, 37–43 | MR | Zbl