Completeness of subsystems of Faber polynomials
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2012), pp. 3-7.

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We study the problem of the completeness of special lacunary systems of Faber polynomials.
Keywords: Faber polynomials, complete system of functions, analytic function, universal series.
Mots-clés : uniform convergence
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L. K. Dodunova; S. A. Savikhin. Completeness of subsystems of Faber polynomials. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2012), pp. 3-7. http://geodesic.mathdoc.fr/item/IVM_2012_9_a0/

[1] Leontev A. F., Posledovatelnosti polinomov iz eksponent, Nauka, M., 1980 | MR

[2] Arakelyan N. U., Martirosyan V. A., “Ravnomernye priblizheniya na kompleksnoi ploskosti mnogochlenami s propuskami”, DAN SSSR, 235:2 (1977), 249–252 | MR | Zbl

[3] Seleznev A. I., Motova I. V., Volokhin V. A., “O polnote sistemy funktsii i universalnykh ryadakh”, Izv. vuzov. Matem., 1977, no. 11, 84–90 | MR | Zbl

[4] Suetin P. K., Ryady po mnogochlenam Fabera, Nauka, M., 1984 | MR | Zbl

[5] Seleznev A. I., Dodunova L. K., “O nekotorykh klassakh universalnykh ryadov”, Izv. vuzov. Matem., 1977, no. 12, 92–98 | MR | Zbl

[6] Dodunova L. K., “O sverkhskhodimosti universalnykh ryadov”, Izv. vuzov. Matem., 1988, no. 2, 19–22 | MR | Zbl