Generalized Double Fourier Sine Series / K. A. Oganesyan. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 1. P. 11-19 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 9-16].

The paper is focused on studies of connections between the integrability of a two-variable function near the origin and the behavior of its generalized Fourier sine series. This problem has direct relevance to issues of asymptotic behavior of Fourier series with monotone coefficients in a neighborhood of the origin.

Key words: functions of two variables, nonintegrable functions, generalized Fourier series.

№ 1/2018