On the expansion of analytic functions in series in successive derivatives
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2003), pp. 75-79.

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

@article{IVM_2003_2_a9,
     author = {S. N. Melikhov and E. V. Teknechyan},
     title = {On the expansion of analytic functions in series in successive derivatives},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {75--79},
     publisher = {mathdoc},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2003_2_a9/}
}
TY  - JOUR
AU  - S. N. Melikhov
AU  - E. V. Teknechyan
TI  - On the expansion of analytic functions in series in successive derivatives
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2003
SP  - 75
EP  - 79
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2003_2_a9/
LA  - ru
ID  - IVM_2003_2_a9
ER  - 
%0 Journal Article
%A S. N. Melikhov
%A E. V. Teknechyan
%T On the expansion of analytic functions in series in successive derivatives
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2003
%P 75-79
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2003_2_a9/
%G ru
%F IVM_2003_2_a9
S. N. Melikhov; E. V. Teknechyan. On the expansion of analytic functions in series in successive derivatives. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2003), pp. 75-79. http://geodesic.mathdoc.fr/item/IVM_2003_2_a9/

[1] Korobeinik Yu. F., “O polnote odnoi sistemy analiticheskikh funktsii”, Matem. sb., 67:4 (1965), 561–569 | MR

[2] Ibragimov I. I., Metody interpolyatsii funktsii i nekotorye ikh primeneniya, Nauka, M., 1971, 518 pp. | MR

[3] Garifyanov F. N., Operatory s drobno-lineinymi sdvigami i biortogonalnye ryady, Dis. ... dokt. fiz.-matem. nauk, Ekaterinburg, 1997, 235 pp.

[4] Korobeinik Yu. F., “Predstavlyayuschie sistemy”, UMN, 36:1 (1981), 73–126 | MR | Zbl

[5] Kazmin Yu. A., “O polnote odnoi sistemy analiticheskikh funktsii, I”, Vestn. Mosk. un-ta. Ser. matem., 1960, no. 5, 3–13 | MR

[6] Gromov V. P., “O polnote sistem analiticheskikh funktsii v oblasti”, Matem. sb., 62:3 (1963), 320–334 | MR | Zbl

[7] Melikhov S. N., “O tsiklicheskikh elementakh lineinogo operatora, predstavimykh ryadami po ego sobstvennym elementam”, Mezhdunarodn. konf. po teorii priblizheniya funktsii, posvyaschennaya pamyati professora P. P. Korovkina, Tez. dokl., T. 2, Kaluga, 1996, 143–144

[8] Leontev A. F., Ryady eksponent, Nauka, M., 1976, 536 pp. | MR

[9] Korobeinik Yu. F., “Interpolyatsionnye zadachi, netrivialnye razlozheniya nulya i predstavlyayuschie sistemy”, Izv. AN SSSR. Ser. matem., 44:5 (1980), 1066–1114 | MR

[10] Bratischev A. V., Bazisy Kete, tselye funktsii i ikh prilozheniya, Dis. ... dokt. fiz.-matem. nauk, IMM UrO RAN, Ekaterinburg, 1998, 248 pp.

[11] Melikhov S. N., “Netrivialnye razlozheniya nulya i predstavitelnye podprostranstva”, Izv. vuzov. Matematika, 1990, no. 8, 53–65 | MR | Zbl

[12] Melikhov S. N., “O razlozhenii analiticheskikh funktsii v ryady eksponent”, Izv. AN SSSR. Ser. matem., 52:5 (1988), 991–1004 | Zbl

[13] Maergoiz L. S., Asimptoticheskie kharakteristiki tselykh funktsii i ikh prilozheniya, Nauka, Novosibirsk, 1991, 274 pp. | MR

[14] Levin B. Ya., Raspredelenie kornei tselykh funktsii, Gostekhizdat, M., 1956, 632 pp.

[15] Korobeinik Yu. F., “Suschestvovanie analiticheskogo resheniya uravneniya beskonechnogo poryadka i kharakter ego oblasti analitichnosti”, Matem. sb., 80:1 (1969), 52–76 | MR

[16] Lunts G. L., “Ob odnom klasse obobschennykh ryadov Dirikhle”, UMN, 12:3 (1957), 173–179 | MR