Abstract
Spectrum properties and a method for deriving a regularized trace formula for perturbations of operators with discrete spectra in a separable Hilbert space are studied. A trace formula for a local perturbation of a two-dimensional harmonic oscillator in a strip is obtained based on this method.
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Original Russian Text © V.A. Sadovnichy, Z.Yu. Fazullin, I.G. Nugaeva, 2018, published in Doklady Akademii Nauk, 2018, Vol. 483, No. 1.
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Sadovnichy, V.A., Fazullin, Z.Y. & Nugaeva, I.G. The Spectrum and Trace Formula for Bounded Perturbations of Differential Operators. Dokl. Math. 98, 552–554 (2018). https://doi.org/10.1134/S1064562418070050
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DOI: https://doi.org/10.1134/S1064562418070050