Abstract
Conditions (in particular, on the order of decrease of the coefficients) for the uniform Pringsheim convergence of double trigonometric series with rarely changing coefficients are found.
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References
S. A. Telyakovskii, “Uniform Convergence of Trigonometric Series with Rarely Changing Coefficients,” Math. Notes 70 (4), 553–559 (2001).
V. S. Kolesnikov, “On the uniform convergence of double trigonometric series with rarely changing coefficients,” in Modern Methods of Function Theory and Related Problems, Proceedings of the International Conference “Voronezh Winter Mathematical Workshop,” Jan. 28–Feb. 2, 2019 (Izd. Dom VGU, 2019), pp. 150–150.
H. K. Bari, Trigonometric Series (Fizmatgiz, Moscow, 1961) [in Russian].
S. B. Stechkin, “On absolute convergence of Fourier series. III,” Izv. Akad. Nauk SSSR Ser. Mat. 20 (3), 385–412 (1956).
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Kolesnikov, V.S. On Uniform Pringsheim Convergence of Double Trigonometric Series with Rarely Changing Coefficients. Math Notes 109, 61–73 (2021). https://doi.org/10.1134/S0001434621010089
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DOI: https://doi.org/10.1134/S0001434621010089