Geodesic
Singular numbers of a weighted convolution operator
Sbornik. Mathematics, Tome 61 (1988) no. 2, pp. 309-319 Cet article a éte moissonné depuis la source Math-Net.Ru

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This article studies a convolution operator on $[0,2\pi]$ with $2\pi$-periodic kernel. The operator acts from $L_2(0,2\pi)$ to $L_2(0,2\pi;\mu)$ where $\mu$ is a Borel measure. An asymptotic formula is obtained for the singular numbers in the case of kernels satisfying a certain regularity condition and of measures with continuous densities. Examples and counterexamples are given. Bibliography: 7 titles. 
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     author = {O. G. Parfenov},
     title = {Singular numbers of a~weighted convolution operator},
     journal = {Sbornik. Mathematics},
     pages = {309--319},
     year = {1988},
     volume = {61},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1988_61_2_a2/}
}
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O. G. Parfenov. Singular numbers of a weighted convolution operator. Sbornik. Mathematics, Tome 61 (1988) no. 2, pp. 309-319. http://geodesic.mathdoc.fr/item/SM_1988_61_2_a2/

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