Kaplitskii Vitalii Markovich

Publications in Math-Net.Ru

1. A note on asymptotical estimates for the rate of decrease at infinity of the eigenfunctions of integral operators
   
   Zap. Nauchn. Sem. POMI, 503 (2021),  72–83
2. Thermodynamical averages for the Ising model and spectral invariants of Toeplitz matrices
   
   TMF, 203:3 (2020),  401–416
3. On the existence of a basis in a complemented subspace of a nuclear Köthe space from class $(d_1)$
   
   Mat. Sb., 209:10 (2018),  50–70
4. To the theory of operators that are bounded on cones in weighted spaces of numerical sequences, II
   
   Zap. Nauchn. Sem. POMI, 456 (2017),  107–113
5. A differential equation for Lerch's transcendent and associated symmetric operators in Hilbert space
   
   Mat. Sb., 205:8 (2014),  13–40
6. To the theory of operators that are bounded on cones in weighted spaces of numerical sequences
   
   Zap. Nauchn. Sem. POMI, 424 (2014),  154–178
7. On regulariziers of unbounded linear operators in Banach spaces
   
   Zap. Nauchn. Sem. POMI, 401 (2012),  93–102
8. A method for estimating eigenfunctions of integral operators of certain classes in unbounded domains
   
   Izv. RAN. Ser. Mat., 75:5 (2011),  65–92
9. Asymptotics of the distribution of eigenvalues of a selfadjoint second order hyperbolic differential operator on the two-dimensional torus
   
   Sibirsk. Mat. Zh., 51:5 (2010),  1041–1060
10. Interpolation of nonlinear operators in weighted $L_p$-spaces
    
    Sibirsk. Mat. Zh., 51:2 (2010),  316–329
11. Asymptotic behaviour of the discrete spectrum of a quasi-periodic boundary value problem for a two-dimensional hyperbolic equation
    
    Mat. Sb., 200:2 (2009),  61–74
12. Tests for exponential decay of eigenfunctions for some classes of integral operators
    
    Zap. Nauchn. Sem. POMI, 366 (2009),  53–66
13. An integral equation with matrix difference kernel on an interval
    
    Mat. Sb., 189:8 (1998),  59–66