Estimation of the difference of spectral functions of the Legendre-type operators
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 1075-1082
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},
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 -
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/