Birman Mikhail Shlemovich

Publications in Math-Net.Ru

1. A simple embedding theorem for the kernels of integral trace-class operators on $L^2(\mathbb R^m)$. An application to the Fredholm trace formula
   
   Algebra i Analiz, 27:2 (2015),  211–217
2. Two-Sided Estimates for the Trace of the Difference of Two Semigroups
   
   Funktsional. Anal. i Prilozhen., 43:3 (2009),  26–32
3. Operator error estimates in the homogenization problem for nonstationary periodic equations
   
   Algebra i Analiz, 20:6 (2008),  30–107
4. The Limit Absorption Principle and Homogenization Procedure for Periodic Elliptic Operators
   
   Funktsional. Anal. i Prilozhen., 42:4 (2008),  105–108
5. Homogenization of the Stationary Periodic Maxwell System in the Case of Constant Permeability
   
   Funktsional. Anal. i Prilozhen., 41:2 (2007),  3–23
6. Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1(\mathbb R^d)$
   
   Algebra i Analiz, 18:6 (2006),  1–130
7. Spectrum asymptotics for one “nonsmooth” variational problem with solvable constraint
   
   Algebra i Analiz, 18:5 (2006),  1–22
8. Averaging of periodic elliptic differential operators with the account of a corrector
   
   Algebra i Analiz, 17:6 (2005),  1–104
9. Threshold approximations for the resolvent of a factoried selfadjoint family with corrector
   
   Algebra i Analiz, 17:5 (2005),  69–90
10. Homogenization of a multidimensional periodic elliptic operator in a neighbourhood of the edge of the internal gap
    
    Zap. Nauchn. Sem. POMI, 318 (2004),  60–74
11. Periodic differential operators of second order. Threshold properties and averagings
    
    Algebra i Analiz, 15:5 (2003),  1–108
12. Average procedure for periodic operators near an edge of internal gap
    
    Algebra i Analiz, 15:4 (2003),  61–71
13. Absolute continuity of the two-dimensional Schrödinger operator with delta potential concentrated on a periodic system of curves
    
    Algebra i Analiz, 12:6 (2000),  140–177
14. The discrete spectrum of a two-dimensional second-order periodic elliptic operator perturbed by a decreasing potential. I. A semi-infinite gap
    
    Algebra i Analiz, 12:4 (2000),  36–78
15. A periodic magnetic Hamiltonian with a variable metric. The problem of absolute continuity
    
    Algebra i Analiz, 11:2 (1999),  1–40
16. Absolute continuity of a two-dimensional periodic magnetic Hamiltonian with discontinuous vector potential
    
    Algebra i Analiz, 10:4 (1998),  1–36
17. The discrete spectrum in gaps of the perturbed periodic Schrödinger operator. II. Nonregular perturbations
    
    Algebra i Analiz, 9:6 (1997),  62–89
18. The two-dimensional periodic magnetic Hamiltonian is absolutely continuous
    
    Algebra i Analiz, 9:1 (1997),  32–48
19. Discrete spectrum in the gaps of perturbed pseudorelativistic Hamiltonian
    
    Zap. Nauchn. Sem. POMI, 249 (1997),  102–117
20. The discrete spectrum of the periodic Schrödinger operator perturbed by a decreasing potential
    
    Algebra i Analiz, 8:1 (1996),  3–20
21. The scattering matrix for a perturbation of a periodic Schrödinger operator by decreasing potential
    
    Algebra i Analiz, 6:3 (1994),  17–39
22. Principal singularities of the electric component of an electromagnetic field in regions with screens
    
    Algebra i Analiz, 5:1 (1993),  143–159
23. Spectral properties of the scattering matrix
    
    Algebra i Analiz, 4:6 (1992),  1–27
24. The spectral shift function. The papers of M. G. Krein and their further development
    
    Algebra i Analiz, 4:5 (1992),  1–44
25. Three problems in the theory of continuous media in polyhedrons
    
    Zap. Nauchn. Sem. POMI, 200 (1992),  27–37
26. The discrete spectrum in the gaps of a second-order perturbed periodic operator
    
    Funktsional. Anal. i Prilozhen., 25:2 (1991),  89–92
27. The selfadjoint Maxwell operator in arbitrary domains
    
    Algebra i Analiz, 1:1 (1989),  96–110
28. Estimates for the difference of the fractional powers of self-adjoint operators under unbounded perturbations
    
    Zap. Nauchn. Sem. LOMI, 178 (1989),  120–145
29. On the trace-class method in potential scattering theory
    
    Zap. Nauchn. Sem. LOMI, 171 (1989),  12–35
30. Operator integration, perturbations and commutators
    
    Zap. Nauchn. Sem. LOMI, 170 (1989),  34–66
31. The Maxwell operator for a periodic resonator with inward edges
    
    Trudy Mat. Inst. Steklov., 179 (1988),  23–35
32. $L_2$-Theory of the Maxwell operator in arbitrary domains
    
    Uspekhi Mat. Nauk, 42:6(258) (1987),  61–76
33. The Maxwell operator in domains with a nonsmooth boundary
    
    Sibirsk. Mat. Zh., 28:1 (1987),  23–36
34. Construction of a function of class $H^2$ with given conormal derivative in a piecewise smooth domain
    
    Zap. Nauchn. Sem. LOMI, 163 (1987),  17–28
35. On Maxwell operator in domains with edges
    
    Zap. Nauchn. Sem. LOMI, 147 (1985),  3–9
36. Compact operators with power-like asymptotics of singular numbers
    
    Zap. Nauchn. Sem. LOMI, 126 (1983),  21–30
37. Asymptotic behavior of the limiting phase shifts in the case of scattering by a potential without spherical symmetry
    
    TMF, 51:1 (1982),  44–53
38. Asymptotic behavior of the spectrum of variational problems on the solutions of elliptic systems
    
    Zap. Nauchn. Sem. LOMI, 115 (1982),  23–39
39. Asymptotics of the spectrum of the scattering matrix
    
    Zap. Nauchn. Sem. LOMI, 110 (1981),  3–29
40. Asymptotics of the spectrum of the $S$-matrix in potential scattering
    
    Dokl. Akad. Nauk SSSR, 255:5 (1980),  1085–1087
41. Asymptotics of the spectrum of variational problems on solutions of elliptic equations in unbounded domains
    
    Funktsional. Anal. i Prilozhen., 14:4 (1980),  27–35
42. On the quasi-classical spectral asymptotics of one class of integral operators
    
    Zap. Nauchn. Sem. LOMI, 98 (1980),  22–32
43. Product of commuting spectral measures need not be countably additive
    
    Funktsional. Anal. i Prilozhen., 13:1 (1979),  61–62
44. Asymptotic behavior of the spectrum of variational problems on solutions of elliptic equations
    
    Sibirsk. Mat. Zh., 20:1 (1979),  3–22
45. Asymptotic properties of the spectrum of differential equations
    
    Itogi Nauki i Tekhn. Ser. Mat. Anal., 14 (1977),  5–58
46. Estimates of singular numbers of integral operators
    
    Uspekhi Mat. Nauk, 32:1(193) (1977),  17–84
47. Asymptotic behavior of the spectrum of elliptic boundary value problems with resolvable couplings
    
    Dokl. Akad. Nauk SSSR, 230:3 (1976),  505–507
48. Estimates of the spectrum of a difference of fractional powers of selfadjoint operators
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 3,  3–10
49. Equivalent renormings of $W_p^r$ classes in the case of partitioning of the domain
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 3,  19–27
50. Spectral asymptotics of nonsmooth elliptic operators. I, II
    
    Tr. Mosk. Mat. Obs., 28 (1973),  3–34
51. Spectral asymptotics of nonsmooth elliptic operators
    
    Dokl. Akad. Nauk SSSR, 205:2 (1972),  267–270
52. Spectral asymptotics of nonsmooth elliptic operators. I, II
    
    Tr. Mosk. Mat. Obs., 27 (1972),  3–52
53. Remarks on spectral shift function
    
    Zap. Nauchn. Sem. LOMI, 27 (1972),  33–46
54. On the asymptotic spectrum of “nonsmooth” elliptic equations
    
    Funktsional. Anal. i Prilozhen., 5:1 (1971),  69–70
55. Scattering problems for differential operators with perturbation of the space
    
    Izv. Akad. Nauk SSSR Ser. Mat., 35:2 (1971),  440–455
56. Leading term in the asymptotic spectral formula for “nonsmooth” elliptic problems
    
    Funktsional. Anal. i Prilozhen., 4:4 (1970),  1–13
57. Asymptotic behavior of the spectrum of weakly polar integral operators
    
    Izv. Akad. Nauk SSSR Ser. Mat., 34:5 (1970),  1142–1158
58. Some applications of a local criterion for the existence of wave operators
    
    Dokl. Akad. Nauk SSSR, 185:4 (1969),  735–738
59. Scattering problems for differential operators with constant coefficients
    
    Funktsional. Anal. i Prilozhen., 3:3 (1969),  1–16
60. Remarks on the nuclearity of integral operators and the boundedness of pseudodifferential operators
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 9,  11–17
61. The existence of wave operators in scattering theory for pairs of spaces
    
    Izv. Akad. Nauk SSSR Ser. Mat., 32:5 (1968),  1162–1175
62. A local criterion for the existence of wave operators
    
    Izv. Akad. Nauk SSSR Ser. Mat., 32:4 (1968),  914–942
63. The stationary method in the abstract theory of scattering
    
    Izv. Akad. Nauk SSSR Ser. Mat., 31:2 (1967),  401–430
64. Piecewise-polynomial approximations of functions of the classes $W_p^\alpha$
    
    Mat. Sb. (N.S.), 73(115):3 (1967),  331–355
65. Double Stieltjes operator integrals and problems on multipliers
    
    Dokl. Akad. Nauk SSSR, 171:6 (1966),  1251–1254
66. Approximation of functions of the $W_p^\alpha$-classes by piece-wise-polynomial functions
    
    Dokl. Akad. Nauk SSSR, 171:5 (1966),  1015–1018
67. On double Stieltjes operator integrals
    
    Dokl. Akad. Nauk SSSR, 165:6 (1965),  1223–1226
68. A local criterion for the existence of wave operators
    
    Dokl. Akad. Nauk SSSR, 159:3 (1964),  485–488
69. A stationary approach in the abstract theory of scattering
    
    Dokl. Akad. Nauk SSSR, 155:3 (1964),  506–508
70. Existence conditions for wave operators
    
    Izv. Akad. Nauk SSSR Ser. Mat., 27:4 (1963),  883–906
71. On a test for the existence of wave operators
    
    Dokl. Akad. Nauk SSSR, 147:5 (1962),  1008–1009
72. On the theory of wave operators and scattering operators
    
    Dokl. Akad. Nauk SSSR, 144:3 (1962),  475–478
73. On existence conditions for wave operators
    
    Dokl. Akad. Nauk SSSR, 143:3 (1962),  506–509
74. On square summability of highest derivatives of the solution of the Dirichlet problem in a domain with piecewise smooth boundary
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1962, no. 5,  12–21
75. Perturbation of the spectrum of a singular elliptic operator under variation of the boundary and boundary conditions
    
    Dokl. Akad. Nauk SSSR, 137:4 (1961),  761–763
76. On the spectrum of singular boundary-value problems
    
    Mat. Sb. (N.S.), 55(97):2 (1961),  125–174
77. Constructing of variational methods for elliptic differential equations
    
    Uspekhi Mat. Nauk, 12:1(73) (1957),  157
78. On the theory of self-adjoint extensions of positive definite operators
    
    Mat. Sb. (N.S.), 38(80):4 (1956),  431–450
79. Some estimates for the method of steepest descent
    
    Uspekhi Mat. Nauk, 5:3(37) (1950),  152–155


80. Olga Aleksandrovna Ladyzhenskaya (obituary)
    
    Uspekhi Mat. Nauk, 59:3(357) (2004),  151–152
81. To the jubillee of O. A. Ladyzhenskaya
    
    Zap. Nauchn. Sem. POMI, 288 (2002),  5–13
82. Letter to the editors
    
    Algebra i Analiz, 13:2 (2001),  240
83. Mikhail Semenovich Agranovich (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 56:4(340) (2001),  163–168
84. Anatolii Moiseevich Vershik (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 49:3(297) (1994),  195–204
85. Mikhail Zakharovich Solomyak (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 46:4(280) (1991),  183–184
86. XIV School on Operator Theory in Functional Spaces
    
    Uspekhi Mat. Nauk, 45:2(272) (1990),  229–230
87. Linear and non-linear equations of parabolic type: O. A. Ladyzhenskaya, V.  A. Solonnikov and N. N. Ural'tseva. “Nauka”, Moscow, 1967. Lineinye i kvazilineinye uravneniya parabolicheskogo tipa
    
    Zh. Vychisl. Mat. Mat. Fiz., 8:5 (1968),  1178–1180
88. Solomon Grigor'evich Mikhlin (on the fiftieth anniversary of his birth)
    
    Uspekhi Mat. Nauk, 13:5(83) (1958),  215–221