Geodesic
On Divergence Almost Everywhere of Fourier Series of Continuous Functions of Two Variables
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 4, pp. 497-505.

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We consider one type of convergence of double trigonometric Fourier series intermediate between convergence over squares and $\lambda$-convergence for $\lambda>1$. We construct an example of continuous functions of two variables, Fourier series of which diverges in this sense, almost everywhere. 
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N. Yu. Antonov. On Divergence Almost Everywhere of Fourier Series of Continuous Functions of Two Variables. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 4, pp. 497-505. http://geodesic.mathdoc.fr/item/ISU_2014_14_4_a1/

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