Email this article The Spectrum and Trace Formula for Bounded Perturbations of Differential Operators
- Authors: Sadovnichy V.A.1, Fazullin Z.Y.2, Nugaeva I.G.2
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Affiliations:
- Faculty of Mechanics and Mathematics
- Bashkir State University
- Issue: Vol 98, No 3 (2018)
- Pages: 552-554
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225579
- DOI: https://doi.org/10.1134/S1064562418070050
- ID: 225579
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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.
About the authors
V. A. Sadovnichy
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: info@rector.msu.ru
Russian Federation, Moscow, 119991
Z. Yu. Fazullin
Bashkir State University
Email: info@rector.msu.ru
Russian Federation, Ufa, 450076 Bashkortostan
I. G. Nugaeva
Bashkir State University
Email: info@rector.msu.ru
Russian Federation, Ufa, 450076 Bashkortostan
