The moment problem on tne finite interval. Convergence anä summabilty of Fourier series by Cesaro methods, Universal trigonometric series
Main publications:
L.N. Galoyan, M.G. Grigoryan, A.Kh. Kobelyan, “Convergence of Fourier series in classical systems”, Sbornik: Mathematics, 206:7 (2015), 941.979
M.G. Grigoryan, L.N.Galoyan, “On the uniform convergence of negative order Cesaro means of Fourier series”, Journal of Mathematical Analysis and Applications, 434:1 (2016), 554-567
M.G. Grigoryan, L.N. Galoyan, “On the universal functions”, Journal of Approximation theory, 225 (2018), 191-208
M.G. Grigoryan, L.N. Galoyan, “On Fourier series that are universal modulo signs”, Studia Mathematica, 249:2 (2019), 215-231
“Application of negative order Cesàro summability methods to Fourier.Walsh series of functions from L∞[0,1]”, Colloquium Mathematicum (Instytut Matematyczny PAN), 2019, 1-18
L. N. Galoyan, M. G. Grigoryan, “Functions Almost Universal in the Sense of Signs with Respect to the Trigonometric System and the Walsh System”, Mat. Zametki, 115:6 (2024), 935–939; Math. Notes, 115:6 (2024), 1030–1034
2021
2.
M. G. Grigoryan, L. N. Galoyan, “Functions universal with respect to the trigonometric system”, Izv. RAN. Ser. Mat., 85:2 (2021), 73–94; Izv. Math., 85:2 (2021), 241–261
L. N. Galoyan, “On a convergence in $L_p$ of the Cesaro means îf Fourier series with monotonic coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 2, 24–30; Russian Math. (Iz. VUZ), 60:2 (2016), 19–24
L. N. Galoyan, R. G. Melikbekyan, “Behavior of the Fourier–Walsh coefficients of a corrected function”, Sibirsk. Mat. Zh., 57:3 (2016), 641–649; Siberian Math. J., 57:3 (2016), 505–512
5.
L. N. Galoyan, R. G. Melikbekyan, “On the almost everywhere convergence of negative order Cesaro means of Fourier–Walsh series”, Proceedings of the YSU, Physical and Mathematical Sciences, 2016, no. 1, 64–66
2015
6.
L. N. Galoyan, M. G. Grigoryan, A. Kh. Kobelyan, “Convergence of Fourier series in classical systems”, Mat. Sb., 206:7 (2015), 55–94; Sb. Math., 206:7 (2015), 941–979
L. N. Galoyan, “On convergence in $L_1[0,1]$ norm of some irregular linear means of Walsh–Fourier series”, Proceedings of the YSU, Physical and Mathematical Sciences, 2012, no. 1, 10–15
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