Polyelement equations which reduce to moment problem for entire functions of class~A
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2017), pp. 3-7.

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

We consider the polyelement linear equations for functions analytic in a plane with cuts lying on the imaginary axis. The results are applied in the study of the Stieltjes moment problem for entire functions of exponential type of class A.
Mots-clés : polyelement equation, Stieltjes moment problem.
Keywords: regularization method
@article{IVM_2017_4_a0,
     author = {F. N. Garifyanov},
     title = {Polyelement equations which reduce to moment problem for entire functions of {class~A}},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--7},
     publisher = {mathdoc},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_4_a0/}
}
TY  - JOUR
AU  - F. N. Garifyanov
TI  - Polyelement equations which reduce to moment problem for entire functions of class~A
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2017
SP  - 3
EP  - 7
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2017_4_a0/
LA  - ru
ID  - IVM_2017_4_a0
ER  - 
%0 Journal Article
%A F. N. Garifyanov
%T Polyelement equations which reduce to moment problem for entire functions of class~A
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2017
%P 3-7
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2017_4_a0/
%G ru
%F IVM_2017_4_a0
F. N. Garifyanov. Polyelement equations which reduce to moment problem for entire functions of class~A. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2017), pp. 3-7. http://geodesic.mathdoc.fr/item/IVM_2017_4_a0/

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

[2] Leontev A. F., Ryady eksponent, Nauka, M., 1976

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

[4] Garifyanov F. N., “Momenty Stiltesa tselykh funktsii klassa A”, Izv. vuzov. Matem., 2006, no. 9, 23–28

[5] Titchmarsh E., Teoriya funktsii, Nauka, M., 1980