Geodesic
On Uniform Pringsheim Convergence of Double Trigonometric Series with Rarely Changing Coefficients
Matematičeskie zametki, Tome 109 (2021) no. 1, pp. 67-81.

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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.
Keywords: double trigonometric series, rarely changing coefficients, uniform Pringsheim convergence. 
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V. S. Kolesnikov. On Uniform Pringsheim Convergence of Double Trigonometric Series with Rarely Changing Coefficients. Matematičeskie zametki, Tome 109 (2021) no. 1, pp. 67-81. http://geodesic.mathdoc.fr/item/MZM_2021_109_1_a6/

[1] S. A. Telyakovskii, “O ravnomernoi skhodimosti trigonometricheskikh ryadov s redko menyayuschimisya koeffitsientami”, Matem. zametki, 70:4 (2001), 613–620 | DOI | MR | Zbl

[2] V. S. Kolesnikov, “O ravnomernoi skhodimosti dvoinykh trigonometricheskikh ryadov s redko menyayuschimisya koeffitsientami”, Sovremennye metody teorii funktsii i smezhnye problemy, Materialy Mezhdunarodnoi konferentsii «Voronezhskaya zimnyaya matematicheskaya shkola» (28 yanvarya – 2 fevralya 2019 g.), Voronezh, 2019, 150–150

[3] H. K. Bari, Trigonometricheskie ryady, Fizmatgiz, M., 1961 | MR

[4] S. B. Stechkin, “Ob absolyutnoi skhodimosti ryadov Fure (trete soobschenie)”, Izv. AN SSSR. Ser. matem., 20:3 (1956), 385–412 | MR | Zbl