Doctor of Sciences

email: sergey.naboko@gmail.com
PURE SPBU

 Directions of research

• Spectral Theory of Hermitean Jacobi Mayrices and Block Jacobi Matrices.
• Theory of nonselfadjount operators and functional models.
• Application of modern complex analysis in the spectral theory.
• Random discerte and continuous Scrodinger operators.
• Quantum graphs theory
• Inverse problems in the system theory.

Recent research papers

1. Janas, Jan; Naboko, Serguei; On the point spectrum of periodic Jacobi matrices with matrix entries: elementary approach. _J. Difference Equ. Appl._ [1] 21 [2] (2015), [2] no. 11, [2] 1103–1118
2. Gesztesy, Fritz [3]; Naboko, Sergey N. [4]; Nichols, Roger [5] On a problem in eigenvalue perturbation theory. _J. Math. Anal. Appl._ [6] 428 [7] (2015), [7] no. 1, [7] 295–305.
3. [8] Kurasov, Pavel [9]; Naboko, Sergey [4] Rayleigh estimates for differential operators on graphs. _J. Spectr. Theory_ [10] 4 [11] (2014), [11] no. 2, [11] 211–219.
4. Marletta, Marco; Naboko, Sergey The finite section method for dissipative operators. _Mathematika_ 60 (2014), no. 2, 415–443. [12]
5. Kurasov, P.; Malenová, G.; Naboko, S. Spectral gap for quantum graphs and their edge connectivity. _J. Phys. A_ 46 (2013), no. 27, 275309, 16
   pp. [12]
6. [8] Naboko, Sergey [4]; Nichols, Roger [5]; Stolz, Günter [13] Simplicity of eigenvalues in Anderson-type models. _Ark. Mat._ [14] 51 [15] (2013), [15] no. 1, [15] 157–183.
7. [8]Janas, J. [16]; Naboko, S. [4] Estimates of generalized eigenvectors of Hermitian Jacobi matrices with a gap in the essential spectrum. _Mathematika_ [17] 59 [18] (2013), [18] no. 1, [18] 191–212.
8. See also the ArXive link: http://arxiv.org/find/all/1/all:+Naboko/0/1/0/all/0/1