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

[21] A TRACE FORMULA FOR HECKE OPERATORS
KALININ, VL
MATHEMATICS OF THE USSR-SBORNIK, 1982, 119 (3-4): : 411 - 423
[22] TRACE FORMULA FOR HECKE OPERATORS
SHIMURA, G
ACTA MATHEMATICA, 1974, 132 (3-4) : 245 - 281
[23] TRACE FORMULA FOR HECKE OPERATORS
ISHIKAWA, H
JOURNAL OF THE FACULTY OF SCIENCE UNIVERSITY OF TOKYO SECTION 1-MATHEMATICS ASTRONOMY PHYSICS CHEMISTRY, 1973, 20 (02): : 217 - 238
[24] TRACE FORMULA FOR HILL OPERATORS
SUNADA, T
DUKE MATHEMATICAL JOURNAL, 1980, 47 (03) : 529 - 546
[25] ON SPECTRUM OF NORMAL OPERATORS + THEIR PERTURBATIONS
KHADELER, KP
DOKLADY AKADEMII NAUK SSSR, 1964, 158 (05): : 1042 - &
[26] POISSON FORMULA AND ASYMPTOTIC-DISTRIBUTION OF SIMULTANEOUS SPECTRUM OF DIFFERENTIAL OPERATORS
KOLK, J
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1977, 284 (17): : 1045 - 1048
[27] Trace operators on bounded subanalytic manifolds
Valette, Anna
Valette, Guillaume
SELECTA MATHEMATICA-NEW SERIES, 2024, 30 (03):
[28] PERTURBATIONS OF OPERATORS, WITH APPLICATION TO ORDINARY DIFFERENTIAL OPERATORS
LEE, SJ
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1979, 28 (02) : 291 - 309
[29] TROTTER PRODUCTION FORMULA FOR PERTURBATIONS OF SEMIBOUNDED OPERATORS
FARIS, WG
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 73 (02) : 211 - &
[30] Asymptotics of the spectrum of nonsmooth perturbations of differential operators of order 2m
Akhmerova, E. F.
MATHEMATICAL NOTES, 2011, 90 (5-6) : 813 - 823

← 1 2 3 4 5 →