FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 4, PAGES 1075-1082

Estimation of the difference of spectral functions of the Legendre-type operators

V. V. Dubrovskii
A. I. Sedov

Abstract

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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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Last modified: February 13, 2001