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