Geodesic
Summation of Fourier Series on the Infinite-Dimensional Torus
Matematičeskie zametki, Tome 103 (2018) no. 6, pp. 927-935

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Conditions for the convergence of Fejér means for functions on the infinite-dimensional torus over cubes and rectangles are obtained, and a generalization of these results to the case of products of abstract measure spaces is proposed.
Keywords: Jessen system, convergence almost everywhere, infinite-dimensional torus, projective tensor product. 
@article{MZM_2018_103_6_a10,
     author = {D. V. Fufaev},
     title = {Summation of {Fourier} {Series} on the {Infinite-Dimensional} {Torus}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {927--935},
     publisher = {mathdoc},
     volume = {103},
     number = {6},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_6_a10/}
}
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D. V. Fufaev. Summation of Fourier Series on the Infinite-Dimensional Torus. Matematičeskie zametki, Tome 103 (2018) no. 6, pp. 927-935. http://geodesic.mathdoc.fr/item/MZM_2018_103_6_a10/