The Spectrum and Trace Formula for Bounded Perturbations of Differential Operators

被引：0

作者：

V. A. Sadovnichy

Z. Yu. Fazullin

I. G. Nugaeva

机构：

[1] Moscow State University,Faculty of Mechanics and Mathematics

[2] Bashkir State University,undefined

来源：

Doklady Mathematics | 2018年 / 98卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：552 / 554

页数：2

共 50 条

[41] The asymptotic behavior of the spectrum trace formulas for differential operators with unbounded coefficients
Kh. Kh. Murtazin
V. A. Sadovnichii
R. Z. Tul’kubaev
Doklady Mathematics, 2007, 76 : 762 - 766
[42] An extended trace formula for vertex operators
Reza-Rahmati, Mohammad
Flores, Gerardo
LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 661 : 1 - 19
[43] A Trace Formula for Nuclear Operators on Lp
Delgado, Julio
PSEUDO-DIFFERENTIAL OPERATORS: COMPLEX ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS, 2010, 205 : 181 - 193
[44] Asymptotic trace formula for the Hecke operators
Jung, Junehyuk
Sardari, Naser Talebizadeh
MATHEMATISCHE ANNALEN, 2020, 378 (1-2) : 513 - 557
[45] SPECTRUM OF THE PRODUCTS OF OPERATORS AND COMPACT PERTURBATIONS
GONG, WB
HAN, DG
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 120 (03) : 755 - 760
[46] On the spectrum of singular perturbations of operators on the circle
Mikhailets, V. A.
Molyboga, V.
MATHEMATICAL NOTES, 2012, 91 (3-4) : 588 - 591
[47] ON THE SPECTRUM OF UNIDIMENSIONAL PERTURBATIONS OF THE VOLTERRA OPERATORS
MALAMUD, MM
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1980, (07): : 26 - 28
[48] On the spectrum of singular perturbations of operators on the circle
V. A. Mikhailets
V. Molyboga
Mathematical Notes, 2012, 91 : 588 - 591
[49] POINT SPECTRUM OF PERTURBATIONS OF UNITARY OPERATORS
MAKAROV, NG
LECTURE NOTES IN MATHEMATICS, 1984, 1043 : 129 - 129
[50] Perturbations of bounded linear operators on orthomodular Hilbertian spaces
Keller, Hans A.
Ochsenius, Herminia
ADVANCES IN NON-ARCHIMEDEAN ANALYSIS, 2011, 551 : 143 - 155

← 1 2 3 4 5 →