Generalized double Fourier sine-series
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2018), pp. 11-19 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper is focused on studies of connections between the integrability of two-variable function near the origin and the behavior of its generalized Fourier sine-series. This problem has direct relevance to the issues of asymptotic behavior of Fourier series with monotone coefficients in a neighborhood of zero.
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K. A. Oganesyan. Generalized double Fourier sine-series. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2018), pp. 11-19. http://geodesic.mathdoc.fr/item/VMUMM_2018_1_a1/

[1] Boas R.P., “Integrability of nonnegative trigonometric series”, Tohoku Math. J. Ser. 2, 16:4 (1964), 368–373 | DOI | MR | Zbl

[2] Dyachenko M.I., “Integriruemost funktsii i koeffitsienty Fure”, Vestn. Mosk. un-ta. Matem. Mekhan., 1977, no. 4, 18–27 | Zbl

[3] Bari N.K., Trigonometricheskie ryady, GIFML, M., 1961 | MR

[4] Popov A.Yu., “Otsenki summ ryadov po sinusam s monotonnymi koeffitsientami nekotorykh klassov”, Matem. zametki, 74:6 (2003), 877–888 | DOI | Zbl

[5] Telyakovskii S.A., “Ob odnom voprose R. Boasa”, Matem. zametki, 5:4 (1969), 437–440 | MR

[6] Telyakovskii S.A., “K voprosu o povedenii ryadov po sinusam vblizi nulya”, Makedon. Akad. Nauk. Umet. Oddel. Mat.-Tehn. Nauk. Prilozi., 21:1–2 (2000), 47–54 | MR

[7] Ydyrys A.Zh., “Asimptotika kratnykh trigonometricheskikh ryadov s monotonnymi koeffitsientami”, Vestn. Mosk. un-ta. Matem. Mekhan., 2015, no. 6, 14–22 | MR | Zbl

[8] Kazaryan K.S., “Summiruemost i skhodimost pochti vsyudu obobschennykh ryadov Fure i Fure–Khaara”, Izv. AN ArmSSR, 20:2 (1985), 145–162 | MR | Zbl