Shubin Mikhail Aleksandrovich

Publications in Math-Net.Ru

1. Essential self-adjointness of Schrödinger-type operators on manifolds
   
   Uspekhi Mat. Nauk, 57:4(346) (2002),  3–58
2. Discreteness of Spectrum Conditions for Schrödinger Operators on Manifolds
   
   Funktsional. Anal. i Prilozhen., 33:3 (1999),  85–87
3. The Atiyah–Bott–Lefschetz formula for elliptic complexes on a manifold with boundary
   
   Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 38 (1990),  119–183
4. Spectral theory of differential operators
   
   Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 64 (1989),  5–242
5. Some unsolved problems in the theory of differential equations and mathematical physics
   
   Uspekhi Mat. Nauk, 44:4(268) (1989),  191–202
6. Linear partial differential equations. Elements of the contemporary theory
   
   Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 31 (1988),  5–125
7. Linear partial differential equations. Foundations of the classical theory
   
   Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 30 (1988),  5–255
8. Morse inequalities and von Neumann $\mathrm{II}_1$-factors
   
   Dokl. Akad. Nauk SSSR, 289:2 (1986),  289–292
9. Asymptotic expansion of the spectral function of the Hill operator
   
   Funktsional. Anal. i Prilozhen., 20:1 (1986),  89–90
10. Pseudodifference operators and their Green's functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 49:3 (1985),  652–671
11. Asymptotic expansion of the state density and the spectral function of a Hill operator
    
    Mat. Sb. (N.S.), 128(170):4(12) (1985),  474–491
12. Uniqueness of the solution of the Cauchy problem for the Korteweg–de Vries equation in classes of increasing functions
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 3,  35–38
13. Algebras of pseudodifferential operators on unimodular Lie groups
    
    Dokl. Akad. Nauk SSSR, 279:3 (1984),  542–545
14. Pseudodifference operators and their inversion
    
    Dokl. Akad. Nauk SSSR, 276:3 (1984),  567–570
15. On the zeta function of a transversally elliptic operator
    
    Uspekhi Mat. Nauk, 39:2(236) (1984),  187–188
16. Non-standard analysis and singular perturbations of ordinary differential equations
    
    Uspekhi Mat. Nauk, 39:2(236) (1984),  77–127
17. On the coincidence of the spectra of random elliptic operators
    
    Mat. Sb. (N.S.), 123(165):4 (1984),  460–476
18. The zeta-function of a transversally elliptic operator
    
    Sibirsk. Mat. Zh., 25:6 (1984),  158–166
19. Asymptotic expansion of the spectral function for second-order elliptic operators in $\mathbb{R}^n$
    
    Funktsional. Anal. i Prilozhen., 17:3 (1983),  37–45
20. A variational principle for the density of states of random pseudodifferential operators, and its applications
    
    Funktsional. Anal. i Prilozhen., 17:2 (1983),  66–67
21. A complete asymptotic expansion of the spectral function for second-order elliptic operators in $\mathbb R^n$
    
    Uspekhi Mat. Nauk, 38:1(229) (1983),  187–188
22. Increasing asymptotic solutions of the Korteweg–de Vries equation and its higher analogues
    
    Dokl. Akad. Nauk SSSR, 267:5 (1982),  1035–1038
23. On the asymptotics of the spectral shift function
    
    Dokl. Akad. Nauk SSSR, 263:2 (1982),  283–284
24. A theorem on the coincidence of spectra for random elliptic operators
    
    Funktsional. Anal. i Prilozhen., 16:4 (1982),  74–75
25. On the structure of functions of class $S$ of self-adjoint elliptic operators on $\mathbb R^n$
    
    Uspekhi Mat. Nauk, 37:2(224) (1982),  201–202
26. Essentiality of the spectrum of pseudodifferential operators in the Besicovitch space $B^2(\mathbf{R}^n)$
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 5,  56–59
27. Spectrum and its distribution function for a transversally elliptic operator
    
    Funktsional. Anal. i Prilozhen., 15:1 (1981),  90–91
28. Random pseudodifferential operators and the stabilization of solutions of parabolic equations with random coefficients
    
    Mat. Sb. (N.S.), 113(155):1(9) (1980),  41–64
29. Elliptic operators in spaces of homogeneous random fields and the stabilization of solutions of parabolic equations with random coefficients
    
    Dokl. Akad. Nauk SSSR, 249:5 (1979),  1043–1046
30. The spectral theory and the index of elliptic operators with almost periodic coefficients
    
    Uspekhi Mat. Nauk, 34:2(206) (1979),  95–135
31. Almost periodic functions and partial differential operators
    
    Uspekhi Mat. Nauk, 33:2(200) (1978),  3–47
32. The index of random elliptic operators. II
    
    Mat. Sb. (N.S.), 106(148):3(7) (1978),  455–483
33. The index of random elliptic operators. I
    
    Mat. Sb. (N.S.), 106(148):1(5) (1978),  108–140
34. On the index of random elliptic operators and families of them
    
    Dokl. Akad. Nauk SSSR, 236:4 (1977),  812–815
35. Poisson brackets and the kernel of the variational derivative in the formal calculus of variations
    
    Funktsional. Anal. i Prilozhen., 10:4 (1976),  30–34
36. Almost periodic pseudodifferential operators, and von Neumann algebras
    
    Tr. Mosk. Mat. Obs., 35 (1976),  103–164
37. Theorems on the coincidence of the spectra of a pseudodifferential almost periodic operator in the spaces $L^2(\mathbf{R}^n)$ and и $B^2(\mathbf{R}^n)$
    
    Sibirsk. Mat. Zh., 17:1 (1976),  200–215
38. The Favard–Muhamadiev theory and pseudo-differential operators
    
    Dokl. Akad. Nauk SSSR, 225:6 (1975),  1278–1280
39. The stabilization of the solution of the Cauchy problem for parabolic equations with coefficients that are almost periodic in the space variables
    
    Differ. Uravn., 11:12 (1975),  2205–2209
40. Almost-periodic elliptic operators and von Neumann algebras
    
    Funktsional. Anal. i Prilozhen., 9:1 (1975),  89–90
41. The coincidence of the ordinary and the almost periodic spectrum of an elliptic operator
    
    Uspekhi Mat. Nauk, 30:3(183) (1975),  185–186
42. Spaces of almost-periodic functions and differential operators
    
    Funktsional. Anal. i Prilozhen., 8:4 (1974),  95–96
43. Differential and pseudodifferential operators in spaces of almost periodic functions
    
    Mat. Sb. (N.S.), 95(137):4(12) (1974),  560–587
44. The asymptotic behavior of the eigenvalues of pseudodifferential operators in $L^2(\mathbf R^n)$
    
    Uspekhi Mat. Nauk, 28:5(173) (1973),  242
45. On asymptotic distribution of eigenvalues of pseudodifferential operators in $\mathbf R^n$
    
    Mat. Sb. (N.S.), 92(134):4(12) (1973),  571–588
46. On some properties of pseudodifferential operators with nonsmooth symbols
    
    Dokl. Akad. Nauk SSSR, 207:3 (1972),  551–553
47. On conditions that the spectra of certain operators be discrete
    
    Mat. Zametki, 11:3 (1972),  233–240
48. Pseudodifferential operators in $\mathbf{R}^n$
    
    Dokl. Akad. Nauk SSSR, 196:2 (1971),  316–319
49. Factorization of matrices depending on a parameter, and elliptic equations in a halfspace
    
    Mat. Sb. (N.S.), 85(127):1(5) (1971),  65–84
50. On the index of families of Wiener–Hopf operators
    
    Mat. Sb. (N.S.), 84(126):4 (1971),  537–558
51. On the index of higher-dimensional Wiener–Hopf equations in a half-space
    
    Uspekhi Mat. Nauk, 24:3(147) (1969),  222
52. Operators “in general position” in Hilbert spaces
    
    Mat. Zametki, 1:6 (1967),  699–702
53. Factorization of parameter-dependent matrix-functions in normed rings and certain related questions in the theory of noetherian operators
    
    Mat. Sb. (N.S.), 73(115):4 (1967),  610–629
54. Uniqueness of solution of the Cauchy problem for convolution equations
    
    Mat. Sb. (N.S.), 72(114):2 (1967),  321–336


55. Marko Iosifovich Vishik (obituary)
    
    Uspekhi Mat. Nauk, 68:2(410) (2013),  197–200
56. Boris Vasil'evich Fedosov (obituary)
    
    Uspekhi Mat. Nauk, 67:1(403) (2012),  169–176
57. Vladimir Gilelevich Maz'ya (to his 70th brithday)
    
    Uspekhi Mat. Nauk, 63:1(379) (2008),  183–189
58. Mikhail Semenovich Agranovich (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 56:4(340) (2001),  163–168
59. Mark Iosifovich Vishik (on his 75th birthday)
    
    Uspekhi Mat. Nauk, 52:4(316) (1997),  225–232
60. Vyacheslav Alekseevich Oleinikov (obituary)
    
    Uspekhi Mat. Nauk, 45:1(271) (1990),  163–165
61. Second International conference of graduate students of Moscow State University “Differential Equotions and Its Applications”
    
    Uspekhi Mat. Nauk, 44:4(268) (1989),  251–252
62. Поправки к статье “Об асимптотике функции спектрального сдвига” (ДАН, т. 263, № 2, 1982 г.)
    
    Dokl. Akad. Nauk SSSR, 265:5 (1982),  1032
63. International conference of graduate students of Moscow State University “Differential Equations and their Applications”
    
    Uspekhi Mat. Nauk, 37:6(228) (1982),  261–285
64. Mark Iosifovich Vishik (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 37:4(226) (1982),  213–220
65. Feliks Aleksandrovich Berezin (obituary)
    
    Uspekhi Mat. Nauk, 36:4(220) (1981),  185–190
66. On First All-Union Mathematical Competition for Students
    
    Uspekhi Mat. Nauk, 30:4(184) (1975),  281–288
67. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
    
    Uspekhi Mat. Nauk, 30:2(182) (1975),  261–269