О базисности корневых векторов возмущенного самосопряженного оператора
А. А. Шкаликов

Эта публикация цитируется в следующих статьяx:

1. Boris Mityagin, Petr Siegl, “Local form subordination without a power decay and a criterion of Riesz basesness”, Bol. Soc. Mat. Mex., 31:3 (2025)  
2. Gorshkov A., “Stable Invariant Manifolds With Application to Control Problems”, Math. Control Relat. Fields, 12:3 (2022), 695    
3. Aref Jeribi, Perturbation Theory for Linear Operators, 2021, 41  
4. Aref Jeribi, Perturbation Theory for Linear Operators, 2021, 389  
5. Aref Jeribi, Perturbation Theory for Linear Operators, 2021, 103  
6. Aref Jeribi, Perturbation Theory for Linear Operators, 2021, 361  
7. Aref Jeribi, Perturbation Theory for Linear Operators, 2021, 437  
8. Aref Jeribi, Perturbation Theory for Linear Operators, 2021, 409  
9. Mityagin B., Siegl P., “Local Form-Subordination Condition and Riesz Basisness of Root Systems”, J. Anal. Math., 139:1 (2019), 83–119      
10. Kostin A.B., Sherstyukov V.B., “Basis Property of the System of Root Functions of the Oblique Derivative Problem For the Laplace Operator in a Disk”, Differ. Equ., 55:10 (2019), 1349–1361      
11. Baranov A.D., Yakubovich D.V., “Completeness of Rank One Perturbations of Normal Operators With Lacunary Spectrum”, J. Spectr. Theory, 8:1 (2018), 1–32          
12. Kostin A.B., Sherstyukov V.B., “The Basis Property of the System of Root Functions of the Oblique Derivative Problem”, Dokl. Math., 98:2 (2018), 409–412          
13. А. М. Савчук, А. А. Шкаликов, “Спектральные свойства комплексного оператора Эйри на полуоси”, Функц. анализ и его прил., 51:1 (2017), 82–98        ; A. M. Savchuk, A. A. Shkalikov, “Spectral Properties of the Complex Airy Operator on the Half-Line”, Funct. Anal. Appl., 51:1 (2017), 66–79    
14. Mityagin B., Siegl P., Viola J., “Differential operators admitting various rates of spectral projection growth”, J. Funct. Anal., 272:8 (2017), 3129–3175          
15. А. Б. Костин, “Критерии единственности решения и корректности в обратной задаче об источнике”, Итоги науки и техн. Сер. Соврем. мат. и ее прил. Темат. обз., 133 (2017), 81–119    ; A. B. Kostin, “Criteria of the uniqueness of solutions and well-posedness of inverse source problems”, J. Math. Sci. (N. Y.), 230:6 (2018), 907–949    
16. Mityagin B., Siegl P., “Root System of Singular Perturbations of the Harmonic Oscillator Type Operators”, Lett. Math. Phys., 106:2 (2016), 147–167              
17. А. А. Шкаликов, “Возмущения самосопряженных и нормальных операторов с дискретным спектром”, УМН, 71:5(431) (2016), 113–174            ; A. A. Shkalikov, “Perturbations of self-adjoint and normal operators with discrete spectrum”, Russian Math. Surveys, 71:5 (2016), 907–964    
18. Baranov A.D., Yakubovich D.V., “Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators”, Adv. Math., 302 (2016), 740–798            
19. Lunyov A.A., Malamud M.M., “On the Riesz basis property of root vectors system for 22 Dirac type operators”, J. Math. Anal. Appl., 441:1 (2016), 57–103            
20. Ammari K., Choulli M., “Logarithmic Stability in Determining Two Coefficients in a Dissipative Wave Equation. Extensions To Clamped Euler-Bernoulli Beam and Heat Equations”, J. Differ. Equ., 259:7 (2015), 3344–3365              
21. Lunyov A.A., Malamud M.M., “on the Completeness and Riesz Basis Property of Root Subspaces of Boundary Value Problems For First Order Systems and Applications”, J. Spectr. Theory, 5:1 (2015), 17–70            
22. David Krejčiřík, Petr Siegl, Non‐Selfadjoint Operators in Quantum Physics, 2015, 241  
23. Krejcirik D., Siegl P., Zelezny J., “On the Similarity of Sturm-Liouville Operators with Non-Hermitian Boundary Conditions to Self-Adjoint and Normal Operators”, Complex Anal. Oper. Theory, 8:1 (2014), 255–281            
24. Lunyov A.A., Malamud M.M., “on the Riesz Basis Property of the Root Vector System For Dirac-Type 2 X 2 Systems”, Dokl. Math., 90:2 (2014), 556–561            
25. Shubov M.A., “on the Completeness of Root Vectors Generated By Systems of Coupled Hyperbolic Equations”, Math. Nachr., 287:13 (2014), 1497–1523            
26. Х. К. Ишкин, “Об аналитических свойствах функции Вейля оператора Штурма – Лиувилля с комплексным убывающим потенциалом”, Уфимск. матем. журн., 5:1 (2013), 36–55      ; Kh. K. Ishkin, “On analytic properties of Weyl function of Sturm–Liouville operator with a decaying complex potential”, Ufa Math. J., 5:1 (2013), 36–55  
27. А. В. Горшков, “Стабилизация решения двумерной системы уравнений Навье–Стокса во внешности ограниченной области посредством управления с границы”, Матем. сб., 203:9 (2012), 15–40          ; A. V. Gorshkov, “Stabilizing a solution of the 2D Navier-Stokes system in the exterior of a bounded domain by means of a control on the boundary”, Sb. Math., 203:9 (2012), 1244–1268    
28. James Adduci, Boris Mityagin, “Root System of a Perturbation of a Selfadjoint Operator with Discrete Spectrum”, Integr. Equ. Oper. Theory, 73:2 (2012), 153  
29. Gesztesy F., Holden H., “The damped string problem revisited”, J. Differential Equations, 251:4-5 (2011), 1086–1127