Geodesic
Localization in bounded summation by Cesaro, Riesz, and Abel methods for multiple Fourier series
Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 355-364.

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We establish the conditions under which the localization principle is valid in bounded summation by Cesaro, Riesz, and Abel methods for multiple Fourier series of functions of Liouville classes. 
@article{MZM_1972_12_4_a1,
     author = {N. Ch. Krutitskaya},
     title = {Localization in bounded summation by {Cesaro,} {Riesz,} and {Abel} methods for multiple {Fourier} series},
     journal = {Matemati\v{c}eskie zametki},
     pages = {355--364},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a1/}
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N. Ch. Krutitskaya. Localization in bounded summation by Cesaro, Riesz, and Abel methods for multiple Fourier series. Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 355-364. http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a1/