Geodesic
Asymptotic Behavior of Singular Values of Certain Integral Operators
Publications de l'Institut Mathématique, _N_S_62 (1997) no. 76, p. 83 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
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     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 },
     year = {1997},
     volume = {_N_S_62},
     number = {76},
     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/