Geodesic
Weighted cubature formulas for periodic functions
Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 319-326.

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This article contains a study of weighted cubature formulas for periodic functions in $n$-dimensional Euclidean space with matrix period $H$. The principal error terms are considered. 
@article{MZM_1968_3_3_a10,
     author = {V. I. Polovinkin},
     title = {Weighted cubature formulas for periodic functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {319--326},
     publisher = {mathdoc},
     volume = {3},
     number = {3},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a10/}
}
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V. I. Polovinkin. Weighted cubature formulas for periodic functions. Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 319-326. http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a10/