Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_2005_9_a4, author = {A. D. Nakhman}, title = {Limit behavior of generalized de la {Vall\'ee-Poussin} sums of multiple {Fourier} series}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {38--51}, publisher = {mathdoc}, number = {9}, year = {2005}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2005_9_a4/} }
A. D. Nakhman. Limit behavior of generalized de la Vall\'ee-Poussin sums of multiple Fourier series. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2005), pp. 38-51. http://geodesic.mathdoc.fr/item/IVM_2005_9_a4/
[1] Zigmund A., Trigonometricheskie ryady, T. 2, Mir, M., 1965, 537 pp. | MR
[2] Zigmund A., Trigonometricheskie ryady, T. 1, Mir, M., 1965, 615 pp. | MR
[3] Nakhman A.D., Osilenker B.P., O nekotorykh lineinykh skhodyaschikhsya protsessakh, porozhdennykh periodicheskimi funktsiyami n peremennykh, Dep. v VINITI 06.05.78, No 1542-78, Mosk. inzh.-stroit. in-t, M., 1978, 46 pp.
[4] Nakhman A.D., “Obobschennye srednie Valle-Pussena kratnykh ryadov Fure”, Izv. vuzov. Matematika, 1990, no. 1, 61–69 | MR
[5] Zhizhiashvili L.V., Sopryazhennye funktsii i trigonometricheskie ryady, Izd-vo Tbilissk. un-ta, Tbilisi, 1969, 271 pp. | MR
[6] Ash J.M., Welland G., “Convergence, uniquences, and summability of multiple trigonometric series”, Trans. Amer. Math. Soc., 163 (1972), 401–436 | DOI | MR | Zbl
[7] Zygmund A., “On the boundary values of function of several complex variables, I”, Fund. Math., 36 (1949), 207–235 | MR | Zbl
[8] Sjo'lin P., “On the convergence everywhere of certain singular integrals and multiple Fourier series”, Arc. Mat., 9:1 (1971), 65–90 | DOI | MR
[9] Fefferman C., “On the convergence of multiple Fourier series”, Bull. Amer. Math. Soc., 77:5 (1971), 744–745 | DOI | MR | Zbl
[10] Muckenhoupt B., “Weighted norm inequalities for the Hardy maximal function”, Trans. Amer. Math. Soc., 165 (1972), 207–226 | DOI | MR | Zbl
[11] Nakhman A.D., Osilenker B.P., “O nekotorykh lineinykh skhodyaschikhsya protsessakh, porozhdennykh periodicheskimi funktsiyami dvukh peremennykh”, Izv. vuzov. Matematika, 1976, no. 10, 105–108 | Zbl