Geodesic
Convergence of the truncation error in calculating singular convolutions
Matematičeskie zametki, Tome 59 (1996) no. 6, pp. 893-908

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the truncation error in the problem of calculating singular convolutions, that is, in the problem of approximating an unbounded linear operator of a certain specific form (of a singular convolution) by using discrete information about the operator. We consider the convergence of the truncation error and obtain necessary and sufficient convergence conditions as well as some effective estimates for the error. 
@article{MZM_1996_59_6_a8,
     author = {D. V. Sushko},
     title = {Convergence of the truncation error in calculating singular convolutions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {893--908},
     publisher = {mathdoc},
     volume = {59},
     number = {6},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_6_a8/}
}
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D. V. Sushko. Convergence of the truncation error in calculating singular convolutions. Matematičeskie zametki, Tome 59 (1996) no. 6, pp. 893-908. http://geodesic.mathdoc.fr/item/MZM_1996_59_6_a8/