@article{SM_1998_189_5_a6,
author = {A. A. Talalyan and G. G. Gevorkyan and G. A. Karagulian},
title = {Some linear summation methods for {Fourier} series},
journal = {Sbornik. Mathematics},
pages = {771--795},
year = {1998},
volume = {189},
number = {5},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1998_189_5_a6/}
}
A. A. Talalyan; G. G. Gevorkyan; G. A. Karagulian. Some linear summation methods for Fourier series. Sbornik. Mathematics, Tome 189 (1998) no. 5, pp. 771-795. http://geodesic.mathdoc.fr/item/SM_1998_189_5_a6/
[1] Nikolskii S. M., “O lineinykh metodakh summirovaniya ryadov Fure”, Izv. AN SSSR. Ser. matem., 12:3 (1948), 259–278 | MR | Zbl
[2] Nagy B., “Methodes de sommation des series de Fourier, III”, Acta Sci. Math. (Szeged), 13, 247–351 | MR
[3] Telyakovskii S. A., “O priblizhenii differentsiruemykh funktsii lineinymi srednimi ikh ryadov Fure”, Izv. AN SSSR. Ser. matem., 24:2 (1960), 213–242 | MR | Zbl
[4] Trigub R. M., “Svyaz summiruemostyu i absolyutnoi skhodimostyu ryadov i preobrazovanii Fure”, Dokl. AN SSSR, 217:1 (1974), 34–37 | MR | Zbl
[5] Zigmund A., Trigonometricheskie ryady, T. I, II, Mir, M., 1965 | MR
[6] Timan A. F., “O nekotorykh metodakh summirovaniya ryadov Fure”, Izv. AN SSSR. Ser. matem., 14 (1950), 85–94 | MR | Zbl
[7] Fadeev D. K., “O predstavlenii summiruemykh funktsii singulyarnymi integralami v tochkakh Lebega”, Matem. sb., 1 (43):3 (1936), 351–368
[8] Natanson I. P., Teoriya funktsii veschestvennoi peremennoi, Nauka, M., 1974 | MR
[9] Stechkin S. B., “Metody summirovaniya S. N. Bernshteina i V. Rogozinskogo”, Obzornaya statya redaktora k kn.: G. Khardi, Raskhodyaschiesya ryady, IL, M., 1951
[10] Jessen B., Marcinkiewicz J., Zygmund A., “Note one differentiability of multiple integrals”, Fund. Math., 25 (1935), 217–234 | Zbl
[11] Marcinkiewicz J., Zygmund A., “On summability of double Fourier series”, Fund. Math., 32 (1939), 112–132 | MR
[12] Gusman M., Differentsirovanie integralov v $\mathbb R^n$, Mir, M., 1977 | MR
[13] Nagy B., “Sur une class generale de procedes de sommation pour les series de Fourier”, Acta. Math. Hungar., 1:3 (1948), 14–52 | MR | Zbl
[14] Efimov A. V., “O lineinykh metodakh summirovaniya ryadov fure”, Izv. AN SSSR. Ser. matem., 24 (1960), 743–756 | MR | Zbl
[15] Telyakovskii S. A., “O normakh trigonometricheskikh polinomov i priblizhenii differentsiruemykh funktsii lineinymi srednimi ikh ryadov Fure, I”, Tr. MIAN, 62, Nauka, M., 1961, 61–97 | MR