Geodesic
Conditions for integrability of multiple trigonometric series
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Orthogonal series and approximations of functions, Tome 164 (1983), pp. 180-188.

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@article{TM_1983_164_a11,
     author = {S. A. Telyakovskii},
     title = {Conditions for integrability of multiple trigonometric series},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {180--188},
     publisher = {mathdoc},
     volume = {164},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1983_164_a11/}
}
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S. A. Telyakovskii. Conditions for integrability of multiple trigonometric series. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Orthogonal series and approximations of functions, Tome 164 (1983), pp. 180-188. http://geodesic.mathdoc.fr/item/TM_1983_164_a11/