Geodesic
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. 
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     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/}
}
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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/