Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 857-868
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A. P. Khromov. Asymptotic of the resolvent series of a Volterra operator and its application. Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 857-868. http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a7/
@article{MZM_1973_13_6_a7,
author = {A. P. Khromov},
title = {Asymptotic of the resolvent series of {a~Volterra} operator and its application},
journal = {Matemati\v{c}eskie zametki},
pages = {857--868},
year = {1973},
volume = {13},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a7/}
}
TY - JOUR
AU - A. P. Khromov
TI - Asymptotic of the resolvent series of a Volterra operator and its application
JO - Matematičeskie zametki
PY - 1973
SP - 857
EP - 868
VL - 13
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a7/
LA - ru
ID - MZM_1973_13_6_a7
ER -
%0 Journal Article
%A A. P. Khromov
%T Asymptotic of the resolvent series of a Volterra operator and its application
%J Matematičeskie zametki
%D 1973
%P 857-868
%V 13
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a7/
%G ru
%F MZM_1973_13_6_a7
The asymptotic of the resolvent kernels of some Volterra integral operators for large $\lambda$ is studied, and its application to the question of the expansion of finite perturbations of such operators in eigen- and associated functions is given.
