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Doklady Mathematics

, Volume 98, Issue 3, pp 552–554 | Cite as

The Spectrum and Trace Formula for Bounded Perturbations of Differential Operators

  • V. A. SadovnichyEmail author
  • Z. Yu. Fazullin
  • I. G. Nugaeva
Mathematics
  • 3 Downloads

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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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • V. A. Sadovnichy
    • 1
    Email author
  • Z. Yu. Fazullin
    • 2
  • I. G. Nugaeva
    • 2
  1. 1.Faculty of Mechanics and MathematicsMoscow State UniversityMoscowRussia
  2. 2.Bashkir State UniversityUfaRussia

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