On Uniform Pringsheim Convergence of Double Trigonometric Series with Rarely Changing Coefficients

V. S. Kolesnikov

Ivanovo State Power University

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.

Keywords: double trigonometric series, rarely changing coefficients, uniform Pringsheim convergence.

UDC: 517

Received: 06.05.2020
Revised: 18.09.2020

DOI: 10.4213/mzm12783

 English version: Mathematical Notes, 2021, 109:1, 61–73

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