Estimation of the~difference of spectral functions of the~Legendre-type operators
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 1075-1082
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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.
@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},
publisher = {mathdoc},
volume = {6},
number = {4},
year = {2000},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a7/ %G ru %F FPM_2000_6_4_a7
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/