Calculation of Spectral Characteristics of Perturbed Self-Adjoint Operators by Methods of Regularized Traces-Reference-Cited by-同舟云学术

Calculation of Spectral Characteristics of Perturbed Self-Adjoint Operators by Methods of Regularized Traces

Published:2019-08-02 Issue:5 Volume:241 Page:570-588
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Kadchenko S. I.,Kakushkin S. N.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/s10958-019-04446-z.pdf

Reference71 articles.

1. E. V. Aleksandrova, Trace formulas in Problems on the Oscillation of Rods and Pipes and Other Classes Singular Operators [in Russian], Ph.D. thesis, Moscow State Univ., Moscow (1997).

2. A. G. Baskakov, “The method of similar operators and formulas for regularized traces,” Izv. Vyssh. Ucheb. Zaved. Ser. Mat., 3, 3–12 (1984).

3. Yu. Belabbasi, Traces of ordinary differential operators generated by multipoint problems [in Rusian], Ph.D. thesis, Moscow State Univ., Moscow (1980).

4. A. N. Bobrov, Trace formulas for pseudodifferential operators with periodic Hamiltonian flows [in Russian], Ph.D. thesis, Moscow State Univ., Moscow (2000).

5. L. A. Dikii, “On a certain formula of Gelfand and Levitan,” Usp. Mat. Nauk, 8, No. 2, 119–123 (1953).

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Solution of Inverse Spectral Problems for Discrete Semi-Bounded Operators Given on Geometric Graphs;Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software";2020