Geodesic
On spectral perturbation caused by bounded variation of potential
Sbornik. Mathematics, Tome 205 (2014) no. 1, pp. 1-6

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The harmonic oscillator operator is perturbed by an arbitrary bounded continuous term. This results in the perturbation of the spectrum. The map sending the first of these perturbations into the second is examined. Its approximation by a linear map is studied. Bibliography: 2 titles.
Keywords: harmonic oscillator, spectrum, Sturm-Liouville operator.
Mots-clés : perturbation 
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R. S. Ismagilov. On spectral perturbation caused by bounded variation of potential. Sbornik. Mathematics, Tome 205 (2014) no. 1, pp. 1-6. http://geodesic.mathdoc.fr/item/SM_2014_205_1_a0/