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Zbl 1190.47053
Sadovnichii, V.A.; Pechentsov, A.S.; Kozko, A.I.
Regularized traces of singular differential operators. (English. Russian original)
[J] Dokl. Math. 80, No. 1, 550-554 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 4, 461-465 (2009). ISSN 1064-5624; ISSN 1531-8362/e

In the space $L^2[0,\infty)$, a higher order selfadjoint differential operator on the positive half-line is explored. It is assumed that the considered operator is lower semibounded. The authors investigate the variation of the regularized trace under perturbation by the operator of multiplication by a real function.
[Michael I. Gil' (Beer-Sheva)]

MSC 2000:: *47E05 Ordinary differential operators
47A10 Spectrum and resolvent of linear operators

Keywords: ordinary differential operator; regularized trace; eigenvalues

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