Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 1075-1082
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V. V. Dubrovskii; A. I. Sedov. Estimation of the difference of spectral functions of the Legendre-type operators. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 1075-1082. http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a7/
@article{FPM_2000_6_4_a7,
author = {V. V. Dubrovskii and A. I. Sedov},
title = {Estimation of the~difference of spectral functions of {the~Legendre-type} operators},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {1075--1082},
year = {2000},
volume = {6},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a7/}
}
TY - JOUR
AU - V. V. Dubrovskii
AU - A. I. Sedov
TI - Estimation of the difference of spectral functions of the Legendre-type operators
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 1075
EP - 1082
VL - 6
IS - 4
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a7/
LA - ru
ID - FPM_2000_6_4_a7
ER -
%0 Journal Article
%A V. V. Dubrovskii
%A A. I. Sedov
%T Estimation of the difference of spectral functions of the Legendre-type operators
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 1075-1082
%V 6
%N 4
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a7/
%G ru
%F FPM_2000_6_4_a7
An estimation of the difference of spectral functions of the Legendre-type operator and a perturbed operator by the norm $L_1$ is calculated under various restrictions on perturbation. The regularized trace of the perturbated operator is calculated.
