Sakhnovich Lev Aronovich

Publications in Math-Net.Ru

1. The Krein differential system and integral operators of random matrix theory
   
   Algebra i Analiz, 22:5 (2010),  186–199
2. Rationality of the Knizhnik–Zamolodchikov equation solution
   
   TMF, 163:1 (2010),  86–93
3. Extremal Trigonometric and Power Polynomials in Several Variables
   
   Funktsional. Anal. i Prilozhen., 38:1 (2004),  88–91
4. Comparison of Thermodynamic Characteristics of a Potential Well under Quantum and Classical Approaches
   
   Funktsional. Anal. i Prilozhen., 36:3 (2002),  48–55
5. Asymptotics of statistic characteristics of unharmonic oscillator
   
   Mat. Fiz. Anal. Geom., 8:1 (2001),  82–89
6. Spectral Theory of a Class of Canonical Differential Systems
   
   Funktsional. Anal. i Prilozhen., 34:2 (2000),  50–62
7. Comparing quantum and classical approaches in statistical physics
   
   TMF, 123:3 (2000),  516–520
8. The matrix nonlinear Schrödinger equation and the corresponding hierarchy of equations
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 1,  51–60
9. Spectral analysis of a class of canonical differential systems
   
   Algebra i Analiz, 10:1 (1998),  187–201
10. On the Sarason Scheme in the Matrix Case
    
    Funktsional. Anal. i Prilozhen., 31:4 (1997),  52–59
11. Deficiency indices of a system of first-order differential equations
    
    Sibirsk. Mat. Zh., 38:6 (1997),  1360–1361
12. On quadratic forms generated by entire functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 4,  59–65
13. On properties of discrete and continuous spectra of Dirac radial equation
    
    TMF, 108:1 (1996),  36–49
14. On the principle of imperceptibility of the boundary in the theory of stable processes
    
    Algebra i Analiz, 6:6 (1994),  115–127
15. The method of operator identities and problems in analysis
    
    Algebra i Analiz, 5:1 (1993),  3–80
16. Integral equations in the theory of stable processes
    
    Algebra i Analiz, 4:4 (1992),  225–238
17. Canonical representations
    
    Sibirsk. Mat. Zh., 33:2 (1992),  172–174
18. A hyperbolic sine-Gordon equation
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 1,  54–63
19. A two-sided bound on the lowest eigenvalue of an operator that characterizes stable processes
    
    Teor. Veroyatnost. i Primenen., 36:2 (1991),  368–370
20. Study of the semi-infinite Toda chain
    
    TMF, 81:1 (1989),  12–23
21. Spectral problems for systems of equations on the axis
    
    Dokl. Akad. Nauk SSSR, 296:5 (1987),  1052–1056
22. Radiative-transfer in a planar gas medium in the presence of scattering
    
    TVT, 25:3 (1987),  544–553
23. Factorization problems and operator identities
    
    Uspekhi Mat. Nauk, 41:1(247) (1986),  3–55
24. Inverse spectral problems for systems of equations
    
    Dokl. Akad. Nauk SSSR, 284:1 (1985),  57–61
25. Asymptotic behavior of the spectrum of a singular integro-differential operator
    
    Differ. Uravn., 20:8 (1984),  1444–1447
26. Eigensubspaces of an operator with a difference kernel
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 12,  75–77
27. Asymptotic behavior of the spectrum of an anharmonic oscillator
    
    TMF, 47:2 (1981),  266–276
28. Effective construction of nondegenerate Hermitian-positive functions of several variables
    
    Funktsional. Anal. i Prilozhen., 14:4 (1980),  55–60
29. Equations with a difference kernel on a finite interval
    
    Uspekhi Mat. Nauk, 35:4(214) (1980),  69–129
30. The connection between the theory of differential games and problems of factorization
    
    Sibirsk. Mat. Zh., 21:5 (1980),  169–173
31. Factorization of operators in $L^2(a,b)$
    
    Funktsional. Anal. i Prilozhen., 13:3 (1979),  40–45
32. Triangular integro-differential operators with a difference kernel
    
    Sibirsk. Mat. Zh., 19:4 (1978),  871–877
33. 10.4. Factorization of operators in $L^2(a,b)$
    
    Zap. Nauchn. Sem. LOMI, 81 (1978),  103–106
34. The representation of the kernel of an invertible operator
    
    Funktsional. Anal. i Prilozhen., 11:2 (1977),  89–90
35. On the factorization of an operator-valued transfer function
    
    Dokl. Akad. Nauk SSSR, 226:4 (1976),  781–784
36. Operational bezutiant in the theory of separation of roots of entire functions
    
    Funktsional. Anal. i Prilozhen., 10:1 (1976),  54–61
37. On the $J$-unitary dilation of a bounded operator
    
    Funktsional. Anal. i Prilozhen., 8:3 (1974),  83–84
38. Similarity of operators
    
    Sibirsk. Mat. Zh., 13:4 (1972),  868–883
39. On allowing for all scattering channels in an $n$-body problem with Coulomb interaction
    
    TMF, 13:3 (1972),  421–427
40. On similarity of linear operators
    
    Dokl. Akad. Nauk SSSR, 200:3 (1971),  541–544
41. The invariance principle for generalized wave operators
    
    Funktsional. Anal. i Prilozhen., 5:1 (1971),  61–68
42. Generalized wave operators
    
    Mat. Sb. (N.S.), 81(123):2 (1970),  209–227
43. Generalized wave operators and regularization of perturbation series
    
    TMF, 2:1 (1970),  80–86
44. The discrete and continuous spectra of the radial Dirac equation
    
    Dokl. Akad. Nauk SSSR, 185:1 (1969),  61–64
45. Nonunitary operators with absolutely continuous spectrum
    
    Izv. Akad. Nauk SSSR Ser. Mat., 33:1 (1969),  52–64
46. Nonunitary operators with absolutely continuous spectrum on the unit cycle
    
    Dokl. Akad. Nauk SSSR, 181:3 (1968),  558–561
47. Operators which are similar to unitary operators with absolutely continuous spectrum
    
    Funktsional. Anal. i Prilozhen., 2:1 (1968),  51–63
48. Dissipative operators with absolutely continuous spectrum
    
    Tr. Mosk. Mat. Obs., 19 (1968),  211–270
49. Dissipative Volterra operators
    
    Mat. Sb. (N.S.), 76(118):3 (1968),  323–343
50. Integral over an ellipsoid and the second Born approximation
    
    Dokl. Akad. Nauk SSSR, 169:2 (1966),  284–287
51. An integral over a paraboloid and the Born first approximation
    
    Dokl. Akad. Nauk SSSR, 168:2 (1966),  288–291
52. Dissipative operators with an absolutely continuous spectrum
    
    Dokl. Akad. Nauk SSSR, 167:4 (1966),  760–763
53. On the Ritz formula and the quantum defects of the spectrum for a radial Schrödinger equation
    
    Izv. Akad. Nauk SSSR Ser. Mat., 30:6 (1966),  1297–1310
54. On the spectrum of the radial Schrödinger equation in the neighbourhood of zero
    
    Mat. Sb. (N.S.), 67(109):2 (1965),  221–243
55. On the spectrum of the anharmonic oscillator
    
    Izv. Akad. Nauk SSSR Ser. Mat., 28:6 (1964),  1345–1362
56. Analytic properties of the discrete spectrum of the Schrödinger equation
    
    Mat. Sb. (N.S.), 64(106):2 (1964),  185–204
57. Some properties of the discrete spectrum of the radial Schrödinger equation
    
    Dokl. Akad. Nauk SSSR, 153:2 (1963),  286–289
58. A semi-inverse problem
    
    Uspekhi Mat. Nauk, 18:3(111) (1963),  199–206
59. The discrete spectrum of the Schrödinger radial equation
    
    Dokl. Akad. Nauk SSSR, 142:3 (1962),  550–553
60. On the discrete spectrum of the radial Schrödinger equation
    
    Mat. Sb. (N.S.), 58(100):4 (1962),  377–396
61. The inverse problem for fourth-order equations
    
    Mat. Sb. (N.S.), 56(98):2 (1962),  137–146
62. Necessary conditions for the existence of a transformation operator for fourth-order equations
    
    Uspekhi Mat. Nauk, 16:5(101) (1961),  199–204
63. A transform operator method for equations of higher order
    
    Mat. Sb. (N.S.), 55(97):3 (1961),  347–360
64. A study of the “triangular form” of non-selfadjoint operators
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1959, no. 4,  141–149
65. The reduction of non-selfadjoint operators to triangular form
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1959, no. 1,  180–186
66. Spectral analysis of operators of the form $Kf=\displaystyle\int_0^xf(t)k(x-t)\,dt$
    
    Izv. Akad. Nauk SSSR Ser. Mat., 22:2 (1958),  299–308
67. Reduction of a non-selfadjoint operator with continuous spectrum to diagonal form
    
    Uspekhi Mat. Nauk, 13:4(82) (1958),  193–196
68. Inverse problem for differential operators of order $n>2$ with analytic coefficients
    
    Mat. Sb. (N.S.), 46(88):1 (1958),  61–76
69. Reduction to diagonal form of non-selfadjoint operators with continuous spectrum
    
    Mat. Sb. (N.S.), 44(86):4 (1958),  509–548
70. The spectral analysis of Volterra operators and some inverse problems
    
    Dokl. Akad. Nauk SSSR, 115:4 (1957),  666–669
71. Reduction of non-selfadjoined operators to the diagonal form
    
    Dokl. Akad. Nauk SSSR, 115:3 (1957),  462–465
72. On reduction of Volterra operators to the simplest form and on inverse problems
    
    Izv. Akad. Nauk SSSR Ser. Mat., 21:2 (1957),  235–262
73. On limit values of multiplicative integrals
    
    Uspekhi Mat. Nauk, 12:3(75) (1957),  205–210