Geodesic
Asymptotic Behavior of Singular Values of Certain Integral Operators
Publications de l'Institut Mathématique, _N_S_62 (1997) no. 76, p. 83

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The exact asymptotics of singular values of a fractional integral operator $ I^\alpha\cdot=\intłimits^x_0{(x-y)^{\alpha-1}\over\Gamma(\alpha)}\cdot dy $ for $1/2\alpha$ is found. The results related to asymptotic behavior of singular values of convolution operators similar to fractional integral operator are given. We also obtained a result about the asymptotic behavior of convolution operators with logarithm-singularity.
Classification : 47B10 
@article{PIM_1997_N_S_62_76_a9,
     author = {Milutin Dostani\'c and Darko Milinkovi\'c},
     title = {Asymptotic {Behavior} of {Singular} {Values} of {Certain} {Integral} {Operators}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {83 },
     publisher = {mathdoc},
     volume = {_N_S_62},
     number = {76},
     year = {1997},
     zbl = {0887.45002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a9/}
}
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Milutin Dostanić; Darko Milinković. Asymptotic Behavior of Singular Values of Certain Integral Operators. Publications de l'Institut Mathématique, _N_S_62 (1997) no. 76, p. 83 . http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a9/