Sobolev Alexander Vladimirovich

Publications in Math-Net.Ru

1. Eigenvalue estimates for the coulombic one-particle density matrix and the kinetic energy density matrix
   
   Funktsional. Anal. i Prilozhen., 59:3 (2025),  162–184
2. On the spectrum of the one-particle density matrix
   
   Funktsional. Anal. i Prilozhen., 55:2 (2021),  44–54
3. Quasi-Classical Asymptotics for Pseudodifferential Operators with Discontinuous Symbols: Widom's Conjecture
   
   Funktsional. Anal. i Prilozhen., 44:4 (2010),  86–90
4. On the spectrum of polyharmonic operators with limit-periodic potentials
   
   Algebra i Analiz, 17:5 (2005),  164–189
5. Asymptotic estimates for spectral, bands of periodic Schrödenger operators
   
   Algebra i Analiz, 17:1 (2005),  276–288
6. Absence of the singular continuous component in the spectrum of analytic direct integrals
   
   Zap. Nauchn. Sem. POMI, 318 (2004),  298–307
7. The asymptotic behavior of the discrete spectrum in the gaps of the continuous spectrum of a perturbed hill operator
   
   Funktsional. Anal. i Prilozhen., 25:2 (1991),  93–95
8. Differentiability of a Hammerstein operator and solvability of a nonlinear Hammerstein equation
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 9,  55–62
9. Spectral properties of an abstract scattering matrix
   
   Trudy Mat. Inst. Steklov., 188 (1990),  125–149
10. The asymptotics of discrete spectrum for the Schroedinger operator in electric and homogeneous magnetic fields
    
    Zap. Nauchn. Sem. LOMI, 182 (1990),  131–141
11. On the total scattering cross section for a finite potential
    
    Algebra i Analiz, 1:4 (1989),  210–221
12. Spectral properties of the scattering matrix
    
    Funktsional. Anal. i Prilozhen., 23:3 (1989),  88–89
13. On differentiability of a Hammerstein operator and on Hammerstein equations
    
    Uspekhi Mat. Nauk, 43:5(263) (1988),  217–218
14. The quasi-classical asymptotics of the scattering cross-section for asymptotically homogeneous potentials
    
    Zap. Nauchn. Sem. LOMI, 152 (1986),  105–136
15. Phase analysis in the problem of scattering by a radial potential
    
    Zap. Nauchn. Sem. LOMI, 147 (1985),  155–178
16. On a posteriori error estimates when seeking an eigenvector
    
    Zh. Vychisl. Mat. Mat. Fiz., 24:5 (1984),  754–756
17. Spectral clearance of a focusing operator
    
    Funktsional. Anal. i Prilozhen., 17:1 (1983),  73–74
18. Definite invariant subspaces and the structure of the spectrum of a focusing plus-operator
    
    Funktsional. Anal. i Prilozhen., 15:1 (1981),  84–85
19. On convergence of the method of one-parametric aggregation
    
    Avtomat. i Telemekh., 1978, no. 9,  102–109
20. Quasi-convex cones of finite rank
    
    Uspekhi Mat. Nauk, 32:5(197) (1977),  197–198
21. On cones of finite rank
    
    Dokl. Akad. Nauk SSSR, 225:6 (1975),  1256–1259
22. On the theory of completely positive matrices
    
    Sibirsk. Mat. Zh., 16:4 (1975),  830–836
23. Fixed points of discontinuous operators
    
    Sibirsk. Mat. Zh., 14:3 (1973),  674–677