The author studies some questions about the way in which the convergence of double trigonometric series depends on the properties of the coefficients.Bibliography: 11 titles.

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Mikhail Ivanovich Dyachenko (Sat,) studied this question.

synapsesocial.com/papers/69d7e3357392c8ce61bee0d2 https://doi.org/https://doi.org/10.1070/sm1987v057n01abeh003055

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Zur Theorie der Fourierschen Doppelreihe1930 · 7 citations
2On the convergence of multiple Fourier series1971 · 148 citations
3Lebesgue constants of polyhedra1982 · 11 citations
4Some theorems on Fourier coefficients1959 · 336 citations
5On trigonometric series conjugate to Fourier series of two variables1947 · 32 citations

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Zur Theorie der Fourierschen Doppelreihe1930 · 7 citations
2On the convergence of multiple Fourier series1971 · 148 citations
3Lebesgue constants of polyhedra1982 · 11 citations
4Some theorems on Fourier coefficients1959 · 336 citations
5On trigonometric series conjugate to Fourier series of two variables1947 · 32 citations