Solomyak Mikhail Zakharovich

Publications in Math-Net.Ru

1. On spectral estimates for the Schrödinger operators in global dimension 2
   
   Algebra i Analiz, 25:3 (2013),  185–199
2. On the mathematical works of M. Sh. Birman
   
   Algebra i Analiz, 23:1 (2011),  5–60
3. On Spectral Estimates for Schrödinger-Type Operators: The Case of Small Local Dimension
   
   Funktsional. Anal. i Prilozhen., 44:4 (2010),  21–33
4. A mathematical model for a noninvertible quantum graph
   
   Algebra i Analiz, 17:5 (2005),  190–231
5. On the Discrete Spectrum of a Family of Differential Operators
   
   Funktsional. Anal. i Prilozhen., 38:3 (2004),  70–78
6. The Cwikel–Lieb–Rozenblyum estimator for generators of positive semigroups and semigroups dominated by positive semigroups
   
   Algebra i Analiz, 9:6 (1997),  214–236
7. Principal singularities of the electric component of an electromagnetic field in regions with screens
   
   Algebra i Analiz, 5:1 (1993),  143–159
8. The selfadjoint Maxwell operator in arbitrary domains
   
   Algebra i Analiz, 1:1 (1989),  96–110
9. Spectral theory of differential operators
   
   Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 64 (1989),  5–242
10. Estimates for the difference of the fractional powers of self-adjoint operators under unbounded perturbations
    
    Zap. Nauchn. Sem. LOMI, 178 (1989),  120–145
11. Operator integration, perturbations and commutators
    
    Zap. Nauchn. Sem. LOMI, 170 (1989),  34–66
12. Multiplicity of the spectrum of Toeplitz operators, weighted cocycles and the vector Riemann problem
    
    Funktsional. Anal. i Prilozhen., 21:3 (1987),  1–10
13. $L_2$-Theory of the Maxwell operator in arbitrary domains
    
    Uspekhi Mat. Nauk, 42:6(258) (1987),  61–76
14. The Maxwell operator in domains with a nonsmooth boundary
    
    Sibirsk. Mat. Zh., 28:1 (1987),  23–36
15. 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
16. Asymptotics of the spectrum of the Schrödinger operator with nonregular homogeneous potential
    
    Mat. Sb. (N.S.), 127(169):1(5) (1985),  21–39
17. Asymptotic behavior of the spectrum of a Schrödinger operator with nonregular homogeneous potential
    
    Dokl. Akad. Nauk SSSR, 278:2 (1984),  291–295
18. Compact operators with power-like asymptotics of singular numbers
    
    Zap. Nauchn. Sem. LOMI, 126 (1983),  21–30
19. Class of differential operators with abnormal behavior of the spectrum of the Dirichlet problem
    
    Mat. Zametki, 31:5 (1982),  747–751
20. Asymptotic behavior of the spectrum of variational problems on the solutions of elliptic systems
    
    Zap. Nauchn. Sem. LOMI, 115 (1982),  23–39
21. Asymptotics of the spectrum of variational problems on solutions of elliptic equations in unbounded domains
    
    Funktsional. Anal. i Prilozhen., 14:4 (1980),  27–35
22. Product of commuting spectral measures need not be countably additive
    
    Funktsional. Anal. i Prilozhen., 13:1 (1979),  61–62
23. Asymptotic behavior of the spectrum of variational problems on solutions of elliptic equations
    
    Sibirsk. Mat. Zh., 20:1 (1979),  3–22
24. Asymptotic properties of the spectrum of differential equations
    
    Itogi Nauki i Tekhn. Ser. Mat. Anal., 14 (1977),  5–58
25. Estimates of singular numbers of integral operators
    
    Uspekhi Mat. Nauk, 32:1(193) (1977),  17–84
26. Estimates of the spectrum of a difference of fractional powers of selfadjoint operators
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 3,  3–10
27. Spectral asymptotics of second-order degenerate elliptic operators
    
    Izv. Akad. Nauk SSSR Ser. Mat., 38:6 (1974),  1362–1392
28. 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
29. Spectral asymptotics of nonsmooth elliptic operators. I, II
    
    Tr. Mosk. Mat. Obs., 28 (1973),  3–34
30. Spectral asymptotics of degenerate elliptic operators
    
    Dokl. Akad. Nauk SSSR, 207:2 (1972),  262–265
31. Spectral asymptotics of nonsmooth elliptic operators
    
    Dokl. Akad. Nauk SSSR, 205:2 (1972),  267–270
32. Spectral asymptotics of nonsmooth elliptic operators. I, II
    
    Tr. Mosk. Mat. Obs., 27 (1972),  3–52
33. On existence conditions for the Stieltjes integral
    
    Mat. Sb. (N.S.), 88(130):4(8) (1972),  522–535
34. Remarks on spectral shift function
    
    Zap. Nauchn. Sem. LOMI, 27 (1972),  33–46
35. On the asymptotic spectrum of “nonsmooth” elliptic equations
    
    Funktsional. Anal. i Prilozhen., 5:1 (1971),  69–70
36. Leading term in the asymptotic spectral formula for “nonsmooth” elliptic problems
    
    Funktsional. Anal. i Prilozhen., 4:4 (1970),  1–13
37. Asymptotic behavior of the spectrum of weakly polar integral operators
    
    Izv. Akad. Nauk SSSR Ser. Mat., 34:5 (1970),  1142–1158
38. Remarks on the nuclearity of integral operators and the boundedness of pseudodifferential operators
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 9,  11–17
39. Geometric characteristics of the imbedding of the classes $W_p^\alpha$ in $C$
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 10,  76–82
40. Piecewise-polynomial approximations of functions of the classes $W_p^\alpha$
    
    Mat. Sb. (N.S.), 73(115):3 (1967),  331–355
41. On transformators, generated by the operator Stiltjes double-integrals
    
    Zap. Nauchn. Sem. LOMI, 5 (1967),  201–231
42. Double Stieltjes operator integrals and problems on multipliers
    
    Dokl. Akad. Nauk SSSR, 171:6 (1966),  1251–1254
43. Approximation of functions of the $W_p^\alpha$-classes by piece-wise-polynomial functions
    
    Dokl. Akad. Nauk SSSR, 171:5 (1966),  1015–1018
44. On double Stieltjes operator integrals
    
    Dokl. Akad. Nauk SSSR, 165:6 (1965),  1223–1226
45. On linear elliptic systems of first order
    
    Dokl. Akad. Nauk SSSR, 150:1 (1963),  48–51
46. On local properties of fractional powers of elliptic operators
    
    Uspekhi Mat. Nauk, 18:2(110) (1963),  184–185
47. On the spaces conjugate to the $W_p^l$ spaces of S. L. Sobolev
    
    Dokl. Akad. Nauk SSSR, 143:6 (1962),  1289–1292
48. Elliptic operators on two-dimensional manifolds
    
    Dokl. Akad. Nauk SSSR, 139:1 (1961),  37–39
49. On differential equations in Banach spaces
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1960, no. 1,  198–209
50. Evaluation of norm of the resolvent of elliptic operators in $L_p$-spaces
    
    Uspekhi Mat. Nauk, 15:6(96) (1960),  141–148
51. The application of the semigroup theory to the study of differential equations in Banach spaces
    
    Dokl. Akad. Nauk SSSR, 122:5 (1958),  766–769


52. Mikhail Shlemovich Birman (obituary)
    
    Uspekhi Mat. Nauk, 65:3(393) (2010),  185–190
53. Mikhail Shlemovich Birman (on the Occasion of his 75th Birthday)
    
    Algebra i Analiz, 16:1 (2004),  5–14
54. Olga Aleksandrovna Ladyzhenskaya (obituary)
    
    Uspekhi Mat. Nauk, 59:3(357) (2004),  151–152
55. A few words about Viktor Abramovich Zalgaller
    
    Zap. Nauchn. Sem. POMI, 280 (2001),  22–27
56. Mikhail Shlyomovich Birman (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 55:1(331) (2000),  204–207
57. Anatolii Moiseevich Vershik (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 49:3(297) (1994),  195–204
58. Viktor Abramovich Zalgaller (on his seventieth birthday)
    
    Uspekhi Mat. Nauk, 46:1(277) (1991),  215–216
59. Mikhail Shlëmovich Birman (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 43:3(261) (1988),  201–202