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.
@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/}
}
TY - JOUR AU - Milutin Dostanić AU - Darko Milinković TI - Asymptotic Behavior of Singular Values of Certain Integral Operators JO - Publications de l'Institut Mathématique PY - 1997 SP - 83 VL - _N_S_62 IS - 76 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a9/ LA - en ID - PIM_1997_N_S_62_76_a9 ER -
%0 Journal Article %A Milutin Dostanić %A Darko Milinković %T Asymptotic Behavior of Singular Values of Certain Integral Operators %J Publications de l'Institut Mathématique %D 1997 %P 83 %V _N_S_62 %N 76 %I mathdoc %U http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a9/ %G en %F PIM_1997_N_S_62_76_a9
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/