Expansions according to Takenaka-Malmqulst rational fraction systems in Orlich spaces
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1985), pp. 21-27.

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

The article is devoted to the proof of the necessary and sufficient conditions for the expansion into a convergent Fourier series in terms of the Takenack-Malmquist system of rational fractions, orthonormal on the unit circle, of functions from reflexive Orlicz spaces.
@article{UZERU_1985_1_a2,
     author = {M. D. Grigorian},
     title = {Expansions according to {Takenaka-Malmqulst} rational fraction systems in {Orlich} spaces},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {21--27},
     publisher = {mathdoc},
     number = {1},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZERU_1985_1_a2/}
}
TY  - JOUR
AU  - M. D. Grigorian
TI  - Expansions according to Takenaka-Malmqulst rational fraction systems in Orlich spaces
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 1985
SP  - 21
EP  - 27
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_1985_1_a2/
LA  - ru
ID  - UZERU_1985_1_a2
ER  - 
%0 Journal Article
%A M. D. Grigorian
%T Expansions according to Takenaka-Malmqulst rational fraction systems in Orlich spaces
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 1985
%P 21-27
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_1985_1_a2/
%G ru
%F UZERU_1985_1_a2
M. D. Grigorian. Expansions according to Takenaka-Malmqulst rational fraction systems in Orlich spaces. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1985), pp. 21-27. http://geodesic.mathdoc.fr/item/UZERU_1985_1_a2/

[1] Dzh. L. Uolsh, Interpolyatsiya i approksimatsiya ratsionalnymi funktsyami v kompleksnoi oblasti, IL, M., 1961 | MR | Zbl

[2] M. M. Dzhrbashyan, “K teorii ryadov Fure po ratsionalnym funktsiyam”, Izv. AN Arm. SSR. Ser. matem., 9:7 (1956), 3–28 | MR

[3] A. A. Kitbalyan, “Razlozheniya po obobschennym trigonometricheskim sistemam”, Izvestiya Akademii nauk Armyanskoi SSR, 16(6) (1963), 3–24 | MR | Zbl

[4] A. M. Lukatskii, “Razlozheniya v ryady po sisteme ratsionalnykh funktsii”, Matematicheskii sbornik, 90 (132):4 (1973) | Zbl

[5] G. Ts. Tumarkin, “Opisanie klassa funktsii, dopuskayuschikh priblizhenie drobyami s fiksirovannymi polyusami”, Izv. AN ArmSSR, seriya fiz.-matem., 1:2 (1966), 89–105 | MR | Zbl

[6] G. Ts. Tumarkin, Izv. AN SSSR, seriya matem., 30 (1966), 721–766 | MR | Zbl

[7] M. D. Grigoryan, “O priblizhenii ratsionalnymi drobyami v prostranstvakh Orlicha na okruzhnosti bez $\Delta_2$-usloviya”, DAN Arm. SSR, 68:1 (1979)

[8] M. D. Grigoryan, “Priblizheniya ratsionalnymi drobyami v prostranstvakh”, Uchenye zapiski EGU, 1978, no. 1(137)

[9] M. A. Krasnoselskii, Ya. B. Rutitskii, Vypuklye funktsii i prostranstva Orlicha, Fizmatgiz, M., 1958 | MR | Zbl

[10] N. B. Simonenko, “Interpolyatsiya i ekstrapolyatsiya lineinykh operatorov v prostranstvakh Orlicha”, Matematicheskii sbornik, 63:4 (1964) | Zbl

[11] M. M. Dzhrbashyan, “Razlozhenie po sistemam ratsionalnykh funktsii s fiksirovannymi polyusami”, Izv. AN ArmSSR, seriya fiz.-matem., 2:1 (1967), 3–51 | MR | Zbl

[12] A. Zigmund, Trigonometricheskie ryady, T. 1, 2, Mir, M., 1965 | MR | Zbl