Pavlov Boris Sergeevich

Publications in Math-Net.Ru

1. Resonance scattering across the superlattice barrier and the dimensional quantization
   
   Nanosystems: Physics, Chemistry, Mathematics, 7:5 (2016),  816–834
2. Field and explosive emissions from graphene-like structures
   
   Zhurnal Tekhnicheskoi Fiziki, 83:6 (2013),  71–77
3. Landau–Zener effect for a quasi-2D periodic sandwich
   
   Nanosystems: Physics, Chemistry, Mathematics, 2:4 (2011),  32–50
4. Resonance one-body scattering on a junction
   
   Nanosystems: Physics, Chemistry, Mathematics, 1:1 (2010),  108–147
5. Quantum Dot and Antidot Infrared Photodetectors: Iterative Methods for Solving the Laplace Equation in Domains with Involved Geometry
   
   TMF, 141:2 (2004),  163–177
6. Embedded spectrum on a metric graph (an observation)
   
   Zap. Nauchn. Sem. POMI, 300 (2003),  215–220
7. Quasi-Relativism, the Narrow-Gap Property, and Forced Electron Dynamics in Solids
   
   TMF, 131:1 (2002),  72–83
8. Nonphysical sheet for perturbed Jacobian matrices
   
   Algebra i Analiz, 6:3 (1994),  185–199
9. The eigenvalues and eigenfunctions of Laplas operator with Neuman boundary conditions in the system of two connected resonators
   
   TMF, 100:3 (1994),  354–366
10. Essential spectrum of the Laplacian for the Neumann problem in a model region of complicated structure
    
    TMF, 99:1 (1994),  3–19
11. Explicitly solvable model of Mössbauer scattering
    
    TMF, 95:3 (1993),  439–450
12. Nonphysical sheet for the Friedrichs model
    
    Algebra i Analiz, 4:6 (1992),  220–233
13. Allowance for interaction symmetry in the theory of extensions
    
    TMF, 91:2 (1992),  179–191
14. Exactly solvable model of electron scattering by an inhomogeneity in a thin conductor
    
    TMF, 90:2 (1992),  226–232
15. Non-physical sheet for the Friedrichs model
    
    Zap. Nauchn. Sem. POMI, 200 (1992),  149–155
16. Spectral analysis of a dissipative singular Schrödinger operator in terms of a functional model
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 65 (1991),  95–163
17. Spectral identities for band spectrum in one-dimensional case
    
    TMF, 89:1 (1991),  3–10
18. Formula for the sum of the effective masses of a multidimensional lattice
    
    TMF, 87:3 (1991),  456–472
19. Acoustic model of zero-width slits and hydrodynamic boundary layer stability
    
    TMF, 86:3 (1991),  391–401
20. Shift group and harmonic analysis on a Riemann surface of genus one
    
    Algebra i Analiz, 1:2 (1989),  132–168
21. Harmonic analysis on a Riemann surface
    
    Dokl. Akad. Nauk SSSR, 308:2 (1989),  269–273
22. The theory of extentions and zero-radius potentials with internal structure
    
    Mat. Sb. (N.S.), 137(179):2(10) (1988),  147–183
23. Boundary conditions on thin manifolds and the semiboundedness of the three-particle Schrödinger operator with pointwise potential
    
    Mat. Sb. (N.S.), 136(178):2(6) (1988),  163–177
24. Quantum few-body problem with internal structure. II. Three-body problem
    
    TMF, 76:2 (1988),  242–260
25. Quantum few-body problem with internal structure. I. Two-body problem
    
    TMF, 75:3 (1988),  431–444
26. Scattering problems on noncompact graphs
    
    TMF, 74:3 (1988),  345–359
27. Electron in a homogeneous crystal of point atoms with internal structure. II
    
    TMF, 74:1 (1988),  82–93
28. The theory of extensions and explicitly-soluble models
    
    Uspekhi Mat. Nauk, 42:6(258) (1987),  99–131
29. Electron in a homogeneous crystal of point atoms with internal structure. I
    
    TMF, 72:3 (1987),  403–415
30. Simultaneous completeness in the case of continuous spectrum
    
    Funktsional. Anal. i Prilozhen., 20:1 (1986),  33–36
31. Zero radius interaction for the biharmonic and polyharmonic equations
    
    Mat. Zametki, 40:1 (1986),  49–59
32. Model of resonance scattering of composite particles
    
    TMF, 69:1 (1986),  100–114
33. Hull-range potentials and M. G. Krein's formula for generalized resolvents
    
    Zap. Nauchn. Sem. LOMI, 149 (1986),  7–23
34. One-dimensional model of three-particle resonances
    
    TMF, 63:1 (1985),  78–87
35. Model of a zero-range potential with internal structure
    
    TMF, 59:3 (1984),  345–353
36. On spectral properties of one-dimensional disperse crystals
    
    Zap. Nauchn. Sem. LOMI, 133 (1984),  197–211
37. Model of free electrons and the scattering problem
    
    TMF, 55:2 (1983),  257–268
38. Scattering on a small-opening resonator
    
    Zap. Nauchn. Sem. LOMI, 126 (1983),  159–169
39. Spectral analysis of unitary perturbations of contractions
    
    Zap. Nauchn. Sem. LOMI, 115 (1982),  215–227
40. Basicity of an exponential system and Muckenhoupt's condition
    
    Dokl. Akad. Nauk SSSR, 247:1 (1979),  37–40
41. The partial scattering matrix, its factorization and analyticity
    
    Dokl. Akad. Nauk SSSR, 244:2 (1979),  291–295
42. Carleson series of resonances in the Regge problem
    
    Izv. Akad. Nauk SSSR Ser. Mat., 42:1 (1978),  26–55
43. 7.4. Spectral decomposition and the Carleson condition
    
    Zap. Nauchn. Sem. LOMI, 81 (1978),  96–98
44. 3.4. Null sets of operator functions with positive imaginary part
    
    Zap. Nauchn. Sem. LOMI, 81 (1978),  85–88
45. Selfadjoint dilatation of the dissipative Shrödinger operator and its resolution in terms of eigenfunctions
    
    Mat. Sb. (N.S.), 102(144):4 (1977),  511–536
46. Construction of a self-adjoint dilatation for a problem with impedance boundary condition
    
    Zap. Nauchn. Sem. LOMI, 73 (1977),  217–223
47. Self-adjoint dilatation of a dissipative Schrödinger operator and an eigenfunction expansion
    
    Funktsional. Anal. i Prilozhen., 9:2 (1975),  87–88
48. On separation conditions for the spectral components of a dissipative operator
    
    Izv. Akad. Nauk SSSR Ser. Mat., 39:1 (1975),  123–148
49. Calculating losses in scattering problems
    
    Mat. Sb. (N.S.), 97(139):1(5) (1975),  77–93
50. On the spectral analysis of dissipative operators
    
    Dokl. Akad. Nauk SSSR, 212:2 (1973),  298–301
51. Factorization of a scattering matrix and the serial structure of its roots
    
    Izv. Akad. Nauk SSSR Ser. Mat., 37:1 (1973),  217–246
52. On the one-dimensional scattering of plane waves on an arbitrary potential $q$, $q(x)=0$, $x<0$
    
    TMF, 16:1 (1973),  105–115
53. Continuous resonance spectrum on a nonphysical sheet
    
    Dokl. Akad. Nauk SSSR, 206:6 (1972),  1301–1304
54. The sharpness of a certain uniqueness theorem
    
    Zap. Nauchn. Sem. LOMI, 30 (1972),  170–171
55. Scattering theory and automorphic functions
    
    Zap. Nauchn. Sem. LOMI, 27 (1972),  161–193
56. On the completeness of the set of resonance states for a system of differential equations
    
    Dokl. Akad. Nauk SSSR, 196:6 (1971),  1272–1275
57. Embedding theorems for the weighted class of harmonic and analytic functions
    
    Zap. Nauchn. Sem. LOMI, 22 (1971),  94–102
58. Scattering theory and the “nonphysical sheet” for a system of ordinary differential equations
    
    Dokl. Akad. Nauk SSSR, 193:1 (1970),  36–39
59. The singular spectrum of the weakly perturbed multiplication operator
    
    Funktsional. Anal. i Prilozhen., 4:2 (1970),  54–61
60. Eigenvector bases of completely nonunitary contractions and the characteristic function
    
    Izv. Akad. Nauk SSSR Ser. Mat., 34:1 (1970),  90–133
61. Bases from the eigenvectors of totally nonunitary contractions
    
    Dokl. Akad. Nauk SSSR, 184:4 (1969),  778–781
62. Bases of eigenvectors, characteristic function and interpolation problems in the Hardy space $H^2$
    
    Dokl. Akad. Nauk SSSR, 184:3 (1969),  550–553
63. Expansions in characteristic vectors of nonunitary operators and the characteristic vectors of nonunitary operators and the characteristic function
    
    Zap. Nauchn. Sem. LOMI, 11 (1968),  150–203
64. On the spectral theory of non-selfadjoint differential operators
    
    Dokl. Akad. Nauk SSSR, 146:6 (1962),  1267–1270
65. On the non-selfadjoint operator $-y''+q(x)y$ on a semiaxis
    
    Dokl. Akad. Nauk SSSR, 141:4 (1961),  807–810


66. Mikhail Shlëmovich Birman (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 43:3(261) (1988),  201–202
67. Поправки к статье “К спектральной теории несамосопряженных дифференциальных операторов” (ДАН, т. 146, № 6, 1962 г.)
    
    Dokl. Akad. Nauk SSSR, 151:6 (1963),  1246