The spectrum and trace formula for bounded perturbations of differential operators

DOI10.1134/S1064562418070050OpenAlexW2910373905MaRDI QIDQ1732051

Z. Yu. Fazullin, I. G. Nugaeva, Victor A. Sadovnichij

Publication date: 15 March 2019

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418070050

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55)

Related Items (2)

Asymptotic representation of projector kernel for 2D harmonic oscillator in a strip ⋮ Trace formula for a bounded perturbation of the Laplace operator on the square

Cites Work

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• A trace formula and high-energy spectral asymptotics for the perturbed Landau Hamiltonian
• Spectrum and the trace formula for a two-dimensional Schrödinger operator in a homogeneous magnetic field
• The spectrum and trace formula for the two-dimensional Schrödinger operator in a homogeneous magnetic field
• The formula of the regularized trace for the Laplace-Beltrami operator with odd potential on the sphere \(S^ 2\)
• Regularized trace of a two-dimensional harmonic oscillator
• Properties of the resolvent of the Laplace operator on a two-dimensional sphere and a trace formula
• A formula for the first regularized trace of a perturbed Laplace-Beltrami operator

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