The moment problem for entire functions of exponential type
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2003), pp. 37-43.

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

@article{IVM_2003_6_a4,
     author = {F. N. Garif'yanov},
     title = {The moment problem for entire functions of exponential type},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {37--43},
     publisher = {mathdoc},
     number = {6},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2003_6_a4/}
}
TY  - JOUR
AU  - F. N. Garif'yanov
TI  - The moment problem for entire functions of exponential type
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2003
SP  - 37
EP  - 43
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2003_6_a4/
LA  - ru
ID  - IVM_2003_6_a4
ER  - 
%0 Journal Article
%A F. N. Garif'yanov
%T The moment problem for entire functions of exponential type
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2003
%P 37-43
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2003_6_a4/
%G ru
%F IVM_2003_6_a4
F. N. Garif'yanov. The moment problem for entire functions of exponential type. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2003), pp. 37-43. http://geodesic.mathdoc.fr/item/IVM_2003_6_a4/

[1] Stiltes T. I., Issledovanie o nepreryvnykh drobyakh, GNTI Ukrainy, Kharkov–Kiev, 1936, 156 pp.

[2] Akhiezer N. I., Klassicheskaya problema momentov i nekotorye voprosy analiza, svyazannye s neyu, Fizmatgiz, M., 1961, 301 pp. | MR

[3] Hardy G. H., “On Stieltjes “probleme des moments””, Messenger of Math., 46 (1916), 175–182

[4] Hardy G. H., “On Stieltjes “probleme des moments””, Messenger of Math., 47 (1917), 81–88 | Zbl

[5] Titchmarsh E., Vvedenie v teoriyu integralov Fure, GITTL, M.–L., 1948, 479 pp.

[6] Duran A. I., “The Stieltjes moments problem for rapidly decreasing functions”, Proc. Amer. Math. Soc., 107 (1989), 631–641 | DOI | MR

[7] Popov A. Yu., “O probleme momentov bystro ubyvayuschikh funktsii”, Matem. zametki, 60:1 (1996), 66–74 | MR | Zbl

[8] Garifyanov F. N., “Problema obrascheniya osobogo integrala i raznostnye uravneniya dlya funktsii, analiticheskikh vne kvadrata”, Izv. vuzov. Matematika, 1993, no. 7, 7–16 | MR

[9] Garifyanov F. N., “Transformatsii biortogonalnykh sistem i nekotorye ikh prilozheniya, II”, Izv. vuzov. Matematika, 1996, no. 8, 13–24 | MR | Zbl

[10] Levin B. Ya., Raspredelenie kornei tselykh funktsii, GITTL, M., 1956, 632 pp.

[11] Aksenteva E. P., Garifyanov F. N., “O lakunarnykh analogakh teta-ryada Puankare i ikh prilozhenii”, Sib. matem. zhurn., 43:5 (2002), 977–986 | MR