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Pavlov, Boris Sergeevich
(1936–2016)
Professor
Doctor of physico-mathematical sciences (1976)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 27.07.1936
Keywords: non-selfadjoint operators; functional models; quantum scattering; solvable models.

Biography

Graduated from the Leningrad State University (LGU) in 1958 (department of Mathematical Physics). Ph.D. thesis was defended in 1964. D.Sci. thesis was defended in 1974. A list of my works contains more than 100 titles.

In 1984 I was awarded the First Prize of the Leningrad University for a series of papers on the theory of nonselfadjoint operators.
   
Main publications:
  • Scattering theory and automorphic functions // LOMI, v. 7, 1973, 161–193 (with L. D. Faddeev).
  • Basicity conditions of an exponential system and Muckenhoupt's condition // Soviet Math. Dokl., v  20, 4(1979).
  • Boundary conditions on thin manifolds and the semiboundedness of the three-particle Schroedinger operator with pointwise potential // Math. USSR Sbornik, 1989, v. 64, 1, 161–175.
  • Spectral Analysis of a Dissipative Singular Schr'odinger Operator in terms of a Functional Model // Partial Differential Equations,ed.M. Shubin in series Encyclopedia of Mathematical Sciences, v. 65, Springer 1995, p. 87–153.
  • The Quantum Domain as a triadic relay // Proceeding of the Second International Conference on Unconventional Models of Calculations, (UMC'2K), 13–16, dec. 2000, Brussels, I. Antoniou, C. S. Calude and M. J. Dinneen (Eds), Springer, 2000, p. 167–186.

https://www.mathnet.ru/eng/person17940
https://ru.wikipedia.org/wiki/Pavlov_Boris_Sergeevich
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/197876
https://elibrary.ru/author_items.asp?authorid=3726

Publications in Math-Net.Ru Citations
2016
1. B. Pavlov, A. Yafyasov, “Resonance scattering across the superlattice barrier and the dimensional quantization”, Nanosystems: Physics, Chemistry, Mathematics, 7:5 (2016),  816–834  mathnet  isi
2011
2. N. Bagraev, G. Martin, B. S. Pavlov, A. Yafyasov, “Landau–Zener effect for a quasi-2D periodic sandwich”, Nanosystems: Physics, Chemistry, Mathematics, 2:4 (2011),  32–50  mathnet  elib
2010
3. G. Martin, A. M. Yafyasov, B. S. Pavlov, “Resonance one-body scattering on a junction”, Nanosystems: Physics, Chemistry, Mathematics, 1:1 (2010),  108–147  mathnet  elib
2004
4. B. S. Pavlov, V. I. Ryzhii, “Quantum Dot and Antidot Infrared Photodetectors: Iterative Methods for Solving the Laplace Equation in Domains with Involved Geometry”, TMF, 141:2 (2004),  163–177  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 141:2 (2004), 1469–1481  isi 1
2003
5. V. L. Oleinik, B. S. Pavlov, “Embedded spectrum on a metric graph (an observation)”, Zap. Nauchn. Sem. POMI, 300 (2003),  215–220  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 128:2 (2005), 2803–2806 1
2002
6. B. S. Pavlov, A. A. Pokrovski, A. V. Strepetov, “Quasi-Relativism, the Narrow-Gap Property, and Forced Electron Dynamics in Solids”, TMF, 131:1 (2002),  72–83  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 131:1 (2002), 506–515  isi
1994
7. B. S. Pavlov, “Nonphysical sheet for perturbed Jacobian matrices”, Algebra i Analiz, 6:3 (1994),  185–199  mathnet  mathscinet  zmath; St. Petersburg Math. J., 6:3 (1995), 619–633 2
8. A. A. Kiselev, B. S. Pavlov, “The eigenvalues and eigenfunctions of Laplas operator with Neuman boundary conditions in the system of two connected resonators”, TMF, 100:3 (1994),  354–366  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 100:3 (1994), 1065–1074  isi 11
9. A. A. Kiselev, B. S. Pavlov, “Essential spectrum of the Laplacian for the Neumann problem in a model region of complicated structure”, TMF, 99:1 (1994),  3–19  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 99:1 (1994), 383–395  isi 2
1993
10. B. S. Pavlov, A. A. Pokrovski, “Explicitly solvable model of Mössbauer scattering”, TMF, 95:3 (1993),  439–450  mathnet  mathscinet; Theoret. and Math. Phys., 95:3 (1993), 700–707  isi
1992
11. B. S. Pavlov, “Nonphysical sheet for the Friedrichs model”, Algebra i Analiz, 4:6 (1992),  220–233  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:6 (1993), 1245–1256 5
12. A. A. Kiselev, B. S. Pavlov, N. N. Penkina, M. G. Suturin, “Allowance for interaction symmetry in the theory of extensions”, TMF, 91:2 (1992),  179–191  mathnet  mathscinet; Theoret. and Math. Phys., 91:2 (1992), 453–461  isi
13. B. S. Pavlov, A. V. Strepetov, “Exactly solvable model of electron scattering by an inhomogeneity in a thin conductor”, TMF, 90:2 (1992),  226–232  mathnet  mathscinet; Theoret. and Math. Phys., 90:2 (1992), 152–156  isi 6
14. B. S. Pavlov, “Non-physical sheet for the Friedrichs model”, Zap. Nauchn. Sem. POMI, 200 (1992),  149–155  mathnet  mathscinet  zmath; J. Math. Sci., 77:3 (1995), 3232–3235 1
1991
15. B. S. Pavlov, “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  mathnet  mathscinet  zmath 6
16. B. S. Pavlov, S. V. Frolov, “Spectral identities for band spectrum in one-dimensional case”, TMF, 89:1 (1991),  3–10  mathnet  mathscinet; Theoret. and Math. Phys., 89:1 (1991), 1013–1019  isi 2
17. B. S. Pavlov, S. V. Frolov, “Formula for the sum of the effective masses of a multidimensional lattice”, TMF, 87:3 (1991),  456–472  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 87:3 (1991), 657–668  isi 3
18. B. S. Pavlov, I. Yu. Popov, “Acoustic model of zero-width slits and hydrodynamic boundary layer stability”, TMF, 86:3 (1991),  391–401  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 86:3 (1991), 269–276  isi 9
1989
19. B. S. Pavlov, S. I. Fedorov, “Shift group and harmonic analysis on a Riemann surface of genus one”, Algebra i Analiz, 1:2 (1989),  132–168  mathnet  mathscinet  zmath; Leningrad Math. J., 1:2 (1990), 447–490 12
20. B. S. Pavlov, S. Fedorov, “Harmonic analysis on a Riemann surface”, Dokl. Akad. Nauk SSSR, 308:2 (1989),  269–273  mathnet  mathscinet  zmath; Dokl. Math., 40:2 (1990), 316–320 1
1988
21. B. S. Pavlov, A. A. Shushkov, “The theory of extentions and zero-radius potentials with internal structure”, Mat. Sb. (N.S.), 137(179):2(10) (1988),  147–183  mathnet  mathscinet  zmath; Math. USSR-Sb., 65:1 (1990), 147–184 9
22. B. S. Pavlov, “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  mathnet  mathscinet  zmath; Math. USSR-Sb., 64:1 (1989), 161–175 29
23. Yu. A. Kuperin, K. A. Makarov, S. P. Merkur'ev, A. K. Motovilov, B. S. Pavlov, “Quantum few-body problem with internal structure. II. Three-body problem”, TMF, 76:2 (1988),  242–260  mathnet  mathscinet; Theoret. and Math. Phys., 76:2 (1988), 834–847  isi 11
24. Yu. A. Kuperin, K. A. Makarov, S. P. Merkur'ev, A. K. Motovilov, B. S. Pavlov, “Quantum few-body problem with internal structure. I. Two-body problem”, TMF, 75:3 (1988),  431–444  mathnet  mathscinet; Theoret. and Math. Phys., 75:3 (1988), 630–639  isi 12
25. N. I. Gerasimenko, B. S. Pavlov, “Scattering problems on noncompact graphs”, TMF, 74:3 (1988),  345–359  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 74:3 (1988), 230–240  isi 104
26. P. B. Kurasov, B. S. Pavlov, “Electron in a homogeneous crystal of point atoms with internal structure. II”, TMF, 74:1 (1988),  82–93  mathnet  mathscinet; Theoret. and Math. Phys., 74:1 (1988), 58–66  isi 5
1987
27. B. S. Pavlov, “The theory of extensions and explicitly-soluble models”, Uspekhi Mat. Nauk, 42:6(258) (1987),  99–131  mathnet  mathscinet  zmath; Russian Math. Surveys, 42:6 (1987), 127–168  isi 183
28. B. S. Pavlov, “Electron in a homogeneous crystal of point atoms with internal structure. I”, TMF, 72:3 (1987),  403–415  mathnet  mathscinet; Theoret. and Math. Phys., 72:3 (1987), 964–972  isi 4
1986
29. B. S. Pavlov, A. V. Strepetov, “Simultaneous completeness in the case of continuous spectrum”, Funktsional. Anal. i Prilozhen., 20:1 (1986),  33–36  mathnet  mathscinet  zmath; Funct. Anal. Appl., 20:1 (1986), 27–30  isi 1
30. Yu. E. Karpeshina, B. S. Pavlov, “Zero radius interaction for the biharmonic and polyharmonic equations”, Mat. Zametki, 40:1 (1986),  49–59  mathnet  mathscinet  zmath; Math. Notes, 40:1 (1986), 528–533  isi 10
31. Yu. A. Kuperin, K. A. Makarov, B. S. Pavlov, “Model of resonance scattering of composite particles”, TMF, 69:1 (1986),  100–114  mathnet  mathscinet; Theoret. and Math. Phys., 69:1 (1986), 1028–1038  isi 15
32. V. M. Adamyan, B. S. Pavlov, “Hull-range potentials and M. G. Krein's formula for generalized resolvents”, Zap. Nauchn. Sem. LOMI, 149 (1986),  7–23  mathnet  zmath 4
1985
33. Yu. A. Kuperin, K. A. Makarov, B. S. Pavlov, “One-dimensional model of three-particle resonances”, TMF, 63:1 (1985),  78–87  mathnet  mathscinet; Theoret. and Math. Phys., 63:1 (1985), 376–382  isi 10
1984
34. B. S. Pavlov, “Model of a zero-range potential with internal structure”, TMF, 59:3 (1984),  345–353  mathnet  mathscinet; Theoret. and Math. Phys., 59:3 (1984), 544–550  isi 92
35. B. S. Pavlov, N. V. Smirnov, “On spectral properties of one-dimensional disperse crystals”, Zap. Nauchn. Sem. LOMI, 133 (1984),  197–211  mathnet  mathscinet  zmath 3
1983
36. B. S. Pavlov, M. D. Faddeev, “Model of free electrons and the scattering problem”, TMF, 55:2 (1983),  257–268  mathnet  mathscinet; Theoret. and Math. Phys., 55:2 (1983), 485–492  isi 37
37. B. S. Pavlov, M. D. Faddeev, “Scattering on a small-opening resonator”, Zap. Nauchn. Sem. LOMI, 126 (1983),  159–169  mathnet  mathscinet  zmath 10
1982
38. B. S. Pavlov, M. D. Faddeev, “Spectral analysis of unitary perturbations of contractions”, Zap. Nauchn. Sem. LOMI, 115 (1982),  215–227  mathnet  mathscinet  zmath; J. Soviet Math., 28:5 (1985), 768–776 3
1979
39. B. S. Pavlov, “Basicity of an exponential system and Muckenhoupt's condition”, Dokl. Akad. Nauk SSSR, 247:1 (1979),  37–40  mathnet  mathscinet  zmath 23
40. B. S. Pavlov, “The partial scattering matrix, its factorization and analyticity”, Dokl. Akad. Nauk SSSR, 244:2 (1979),  291–295  mathnet  mathscinet  zmath
1978
41. S. A. Ivanov, B. S. Pavlov, “Carleson series of resonances in the Regge problem”, Izv. Akad. Nauk SSSR Ser. Mat., 42:1 (1978),  26–55  mathnet  mathscinet  zmath; Math. USSR-Izv., 12:1 (1978), 21–51 10
42. V. I. Vasyunin, N. K. Nikol'skii, B. S. Pavlov, “7.4. Spectral decomposition and the Carleson condition”, Zap. Nauchn. Sem. LOMI, 81 (1978),  96–98  mathnet; J. Soviet Math., 26:5 (1984), 2152–2153
43. B. S. Pavlov, L. D. Faddeev, “3.4. Null sets of operator functions with positive imaginary part”, Zap. Nauchn. Sem. LOMI, 81 (1978),  85–88  mathnet; J. Soviet Math., 26:5 (1984), 2144–2146 3
1977
44. B. S. Pavlov, “Selfadjoint dilatation of the dissipative Shrödinger operator and its resolution in terms of eigenfunctions”, Mat. Sb. (N.S.), 102(144):4 (1977),  511–536  mathnet  mathscinet  zmath; Math. USSR-Sb., 31:4 (1977), 457–478  isi 49
45. B. S. Pavlov, M. D. Faddeev, “Construction of a self-adjoint dilatation for a problem with impedance boundary condition”, Zap. Nauchn. Sem. LOMI, 73 (1977),  217–223  mathnet  mathscinet  zmath; J. Soviet Math., 34:6 (1986), 2152–2156 3
1975
46. B. S. Pavlov, “Self-adjoint dilatation of a dissipative Schrödinger operator and an eigenfunction expansion”, Funktsional. Anal. i Prilozhen., 9:2 (1975),  87–88  mathnet  mathscinet  zmath; Funct. Anal. Appl., 9:2 (1975), 172–173 11
47. B. S. Pavlov, “On separation conditions for the spectral components of a dissipative operator”, Izv. Akad. Nauk SSSR Ser. Mat., 39:1 (1975),  123–148  mathnet  mathscinet  zmath; Math. USSR-Izv., 9:1 (1975), 113–137 57
48. B. S. Pavlov, “Calculating losses in scattering problems”, Mat. Sb. (N.S.), 97(139):1(5) (1975),  77–93  mathnet  mathscinet  zmath; Math. USSR-Sb., 26:1 (1975), 71–87 6
1973
49. B. S. Pavlov, “On the spectral analysis of dissipative operators”, Dokl. Akad. Nauk SSSR, 212:2 (1973),  298–301  mathnet  mathscinet  zmath 1
50. B. S. Pavlov, “Factorization of a scattering matrix and the serial structure of its roots”, Izv. Akad. Nauk SSSR Ser. Mat., 37:1 (1973),  217–246  mathnet  mathscinet  zmath; Math. USSR-Izv., 7:1 (1973), 215–245 6
51. B. S. Pavlov, “On the one-dimensional scattering of plane waves on an arbitrary potential $q$, $q(x)=0$, $x<0$”, TMF, 16:1 (1973),  105–115  mathnet  zmath; Theoret. and Math. Phys., 16:1 (1973), 706–713 7
1972
52. B. S. Pavlov, “Continuous resonance spectrum on a nonphysical sheet”, Dokl. Akad. Nauk SSSR, 206:6 (1972),  1301–1304  mathnet  mathscinet  zmath 3
53. B. S. Pavlov, M. G. Suturin, “The sharpness of a certain uniqueness theorem”, Zap. Nauchn. Sem. LOMI, 30 (1972),  170–171  mathnet  mathscinet  zmath
54. B. S. Pavlov, L. D. Faddeev, “Scattering theory and automorphic functions”, Zap. Nauchn. Sem. LOMI, 27 (1972),  161–193  mathnet  mathscinet  zmath; J. Soviet Math., 3 (1975), 522–548 16
1971
55. B. S. Pavlov, “On the completeness of the set of resonance states for a system of differential equations”, Dokl. Akad. Nauk SSSR, 196:6 (1971),  1272–1275  mathnet  mathscinet  zmath 2
56. V. L. Oleinik, B. S. Pavlov, “Embedding theorems for the weighted class of harmonic and analytic functions”, Zap. Nauchn. Sem. LOMI, 22 (1971),  94–102  mathnet  mathscinet  zmath
1970
57. B. S. Pavlov, “Scattering theory and the “nonphysical sheet” for a system of ordinary differential equations”, Dokl. Akad. Nauk SSSR, 193:1 (1970),  36–39  mathnet  mathscinet  zmath 4
58. B. S. Pavlov, S. V. Petras, “The singular spectrum of the weakly perturbed multiplication operator”, Funktsional. Anal. i Prilozhen., 4:2 (1970),  54–61  mathnet  mathscinet  zmath; Funct. Anal. Appl., 4:2 (1970), 136–142 19
59. N. K. Nikol'skii, B. S. Pavlov, “Eigenvector bases of completely nonunitary contractions and the characteristic function”, Izv. Akad. Nauk SSSR Ser. Mat., 34:1 (1970),  90–133  mathnet  mathscinet  zmath; Math. USSR-Izv., 4:1 (1970), 91–134 16
1969
60. N. K. Nikol'skii, B. S. Pavlov, “Bases from the eigenvectors of totally nonunitary contractions”, Dokl. Akad. Nauk SSSR, 184:4 (1969),  778–781  mathnet  mathscinet  zmath 1
61. N. K. Nikol'skii, B. S. Pavlov, “Bases of eigenvectors, characteristic function and interpolation problems in the Hardy space $H^2$”, Dokl. Akad. Nauk SSSR, 184:3 (1969),  550–553  mathnet  mathscinet  zmath
1968
62. N. K. Nikol'skii, B. S. Pavlov, “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  mathnet  mathscinet  zmath 5
1962
63. B. S. Pavlov, “On the spectral theory of non-selfadjoint differential operators”, Dokl. Akad. Nauk SSSR, 146:6 (1962),  1267–1270  mathnet  mathscinet  zmath 5
1961
64. B. S. Pavlov, “On the non-selfadjoint operator $-y''+q(x)y$ on a semiaxis”, Dokl. Akad. Nauk SSSR, 141:4 (1961),  807–810  mathnet  mathscinet  zmath 2
1988
65. V. S. Buslaev, I. M. Gel'fand, O. A. Ladyzhenskaya, B. S. Pavlov, M. Z. Solomyak, L. D. Faddeev, D. R. Yafaev, “Mikhail Shlëmovich Birman (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 43:3(261) (1988),  201–202  mathnet  mathscinet; Russian Math. Surveys, 43:3 (1988), 233–235  isi 2
1963
66. B. S. Pavlov, “Поправки к статье “К спектральной теории несамосопряженных дифференциальных операторов” (ДАН, т. 146, № 6, 1962 г.)”, Dokl. Akad. Nauk SSSR, 151:6 (1963),  1246  mathnet

Presentations in Math-Net.Ru
1. О расширениях диссипативных операторов с приложением к моделированию динамики тектонических плит под действием локализованного стресса
B. S. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
August 14, 2013 14:00
2. Локальное обратное рассеяние и двухступенчатая процедура аналитического возмущения для резонансных систем
B. S. Pavlov
International conference "Contemporary Problems of Mathematics, Mechanics, and Mathematical Physics" dedicated to the 150th anniversary of V. A. Steklov
May 17, 2013 15:00   
3. Scattering in quantum networks
B. S. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
August 4, 2010 14:00
4. Spectral duality and Smilansky conjecture for the inner and the outer Neumann Laplaceans in $\mathbf R^3$
B. S. Pavlov
Meetings of the St. Petersburg Mathematical Society
May 12, 2009

Organisations
 
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