Geodesic
The possibility of periodic spline interpolation
Matematičeskie zametki, Tome 8 (1970) no. 5, pp. 563-573.

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A new case of the solvability of the classical interpolation problem for periodic splines is described. 
@article{MZM_1970_8_5_a3,
     author = {P. V. Galkin},
     title = {The possibility of periodic spline interpolation},
     journal = {Matemati\v{c}eskie zametki},
     pages = {563--573},
     publisher = {mathdoc},
     volume = {8},
     number = {5},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_5_a3/}
}
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P. V. Galkin. The possibility of periodic spline interpolation. Matematičeskie zametki, Tome 8 (1970) no. 5, pp. 563-573. http://geodesic.mathdoc.fr/item/MZM_1970_8_5_a3/