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Sakhnovich, Lev Aronovich
Statistics Math-Net.Ru
Total publications: 73
Scientific articles: 73

Number of views:
This page:3193
Abstract pages:18269
Full texts:8094
References:1297
Professor
Doctor of physico-mathematical sciences (1960)
E-mail:

https://www.mathnet.ru/eng/person21007
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/210506

Publications in Math-Net.Ru Citations
2010
1. L. Sakhnovich, “The Krein differential system and integral operators of random matrix theory”, Algebra i Analiz, 22:5 (2010),  186–199  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:5 (2011), 835–846  isi  scopus 3
2. L. A. Sakhnovich, “Rationality of the Knizhnik–Zamolodchikov equation solution”, TMF, 163:1 (2010),  86–93  mathnet  zmath; Theoret. and Math. Phys., 163:1 (2010), 472–478  isi  scopus 1
2004
3. L. A. Sakhnovich, “Extremal Trigonometric and Power Polynomials in Several Variables”, Funktsional. Anal. i Prilozhen., 38:1 (2004),  88–91  mathnet  mathscinet  zmath; Funct. Anal. Appl., 38:1 (2004), 72–74  isi  scopus 2
2002
4. L. A. Sakhnovich, “Comparison of Thermodynamic Characteristics of a Potential Well under Quantum and Classical Approaches”, Funktsional. Anal. i Prilozhen., 36:3 (2002),  48–55  mathnet  mathscinet  zmath; Funct. Anal. Appl., 36:3 (2002), 205–211  isi  scopus 3
2001
5. L. A. Sakhnovich, “Asymptotics of statistic characteristics of unharmonic oscillator”, Mat. Fiz. Anal. Geom., 8:1 (2001),  82–89  mathnet  mathscinet  zmath
2000
6. L. A. Sakhnovich, “Spectral Theory of a Class of Canonical Differential Systems”, Funktsional. Anal. i Prilozhen., 34:2 (2000),  50–62  mathnet  mathscinet  zmath; Funct. Anal. Appl., 34:2 (2000), 119–128  isi 23
7. L. A. Sakhnovich, “Comparing quantum and classical approaches in statistical physics”, TMF, 123:3 (2000),  516–520  mathnet  zmath; Theoret. and Math. Phys., 123:3 (2000), 846–850  isi 3
1999
8. L. A. Sakhnovich, “The matrix nonlinear Schrödinger equation and the corresponding hierarchy of equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 1,  51–60  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 43:1 (1999), 48–57
1998
9. L. A. Sakhnovich, “Spectral analysis of a class of canonical differential systems”, Algebra i Analiz, 10:1 (1998),  187–201  mathnet  mathscinet  zmath; St. Petersburg Math. J., 10:1 (1999), 147–158 6
1997
10. L. A. Sakhnovich, “On the Sarason Scheme in the Matrix Case”, Funktsional. Anal. i Prilozhen., 31:4 (1997),  52–59  mathnet  mathscinet  zmath; Funct. Anal. Appl., 31:4 (1997), 266–272  isi 1
11. L. A. Sakhnovich, “Deficiency indices of a system of first-order differential equations”, Sibirsk. Mat. Zh., 38:6 (1997),  1360–1361  mathnet  mathscinet  zmath; Siberian Math. J., 38:6 (1997), 1182–1183  isi 6
1996
12. L. A. Sakhnovich, “On quadratic forms generated by entire functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 4,  59–65  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 40:4 (1996), 57–63
13. L. A. Sakhnovich, “On properties of discrete and continuous spectra of Dirac radial equation”, TMF, 108:1 (1996),  36–49  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 108:1 (1996), 876–888  isi 6
1994
14. L. A. Sakhnovich, “On the principle of imperceptibility of the boundary in the theory of stable processes”, Algebra i Analiz, 6:6 (1994),  115–127  mathnet  mathscinet  zmath; St. Petersburg Math. J., 6:6 (1995), 1219–1228
1993
15. L. A. Sakhnovich, “The method of operator identities and problems in analysis”, Algebra i Analiz, 5:1 (1993),  3–80  mathnet  mathscinet  zmath; St. Petersburg Math. J., 5:1 (1994), 1–69 26
1992
16. L. A. Sakhnovich, “Integral equations in the theory of stable processes”, Algebra i Analiz, 4:4 (1992),  225–238  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:4 (1993), 819–829
17. T. S. Ivanchenko, L. A. Sakhnovich, “Canonical representations”, Sibirsk. Mat. Zh., 33:2 (1992),  172–174  mathnet  mathscinet  zmath; Siberian Math. J., 33:2 (1992), 330–332  isi
1991
18. L. A. Sakhnovich, “A hyperbolic sine-Gordon equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 1,  54–63  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 35:1 (1991), 64–74
19. S. M. Pozin, L. A. Sakhnovich, “A two-sided bound on the lowest eigenvalue of an operator that characterizes stable processes”, Teor. Veroyatnost. i Primenen., 36:2 (1991),  368–370  mathnet  mathscinet  zmath; Theory Probab. Appl., 36:2 (1991), 385–388  isi 2
1989
20. L. A. Sakhnovich, “Study of the semi-infinite Toda chain”, TMF, 81:1 (1989),  12–23  mathnet  mathscinet; Theoret. and Math. Phys., 81:1 (1989), 1018–1026  isi 6
1987
21. L. A. Sakhnovich, “Spectral problems for systems of equations on the axis”, Dokl. Akad. Nauk SSSR, 296:5 (1987),  1052–1056  mathnet  mathscinet  zmath; Dokl. Math., 36:2 (1988), 356–360
22. I. A. Vasil'eva, L. A. Sakhnovich, “Radiative-transfer in a planar gas medium in the presence of scattering”, TVT, 25:3 (1987),  544–553  mathnet; High Temperature, 25:3 (1987), 411–419  isi 1
1986
23. L. A. Sakhnovich, “Factorization problems and operator identities”, Uspekhi Mat. Nauk, 41:1(247) (1986),  3–55  mathnet  mathscinet  zmath; Russian Math. Surveys, 41:1 (1986), 1–64  isi 71
1985
24. L. A. Sakhnovich, “Inverse spectral problems for systems of equations”, Dokl. Akad. Nauk SSSR, 284:1 (1985),  57–61  mathnet  mathscinet  zmath
1984
25. Kh. M. Kogan, L. A. Sakhnovich, “Asymptotic behavior of the spectrum of a singular integro-differential operator”, Differ. Uravn., 20:8 (1984),  1444–1447  mathnet  mathscinet  zmath 1
1983
26. L. A. Sakhnovich, “Eigensubspaces of an operator with a difference kernel”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 12,  75–77  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 27:12 (1983), 97–100
1981
27. L. A. Sakhnovich, “Asymptotic behavior of the spectrum of an anharmonic oscillator”, TMF, 47:2 (1981),  266–276  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 47:2 (1981), 449–456  isi 1
1980
28. L. A. Sakhnovich, “Effective construction of nondegenerate Hermitian-positive functions of several variables”, Funktsional. Anal. i Prilozhen., 14:4 (1980),  55–60  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:4 (1980), 290–294  isi 2
29. L. A. Sakhnovich, “Equations with a difference kernel on a finite interval”, Uspekhi Mat. Nauk, 35:4(214) (1980),  69–129  mathnet  mathscinet  zmath; Russian Math. Surveys, 35:4 (1980), 81–152  isi 26
30. L. A. Sakhnovich, “The connection between the theory of differential games and problems of factorization”, Sibirsk. Mat. Zh., 21:5 (1980),  169–173  mathnet  mathscinet  zmath
1979
31. L. A. Sakhnovich, “Factorization of operators in $L^2(a,b)$”, Funktsional. Anal. i Prilozhen., 13:3 (1979),  40–45  mathnet  mathscinet  zmath; Funct. Anal. Appl., 13:3 (1979), 187–192 5
1978
32. L. A. Sakhnovich, “Triangular integro-differential operators with a difference kernel”, Sibirsk. Mat. Zh., 19:4 (1978),  871–877  mathnet  mathscinet  zmath; Siberian Math. J., 19:4 (1978), 616–622  isi
33. L. A. Sakhnovich, “10.4. Factorization of operators in $L^2(a,b)$”, Zap. Nauchn. Sem. LOMI, 81 (1978),  103–106  mathnet; J. Soviet Math., 26:5 (1984), 2157–2159 1
1977
34. L. A. Sakhnovich, “The representation of the kernel of an invertible operator”, Funktsional. Anal. i Prilozhen., 11:2 (1977),  89–90  mathnet  mathscinet  zmath; Funct. Anal. Appl., 11:2 (1977), 155–157 2
1976
35. L. A. Sakhnovich, “On the factorization of an operator-valued transfer function”, Dokl. Akad. Nauk SSSR, 226:4 (1976),  781–784  mathnet  mathscinet  zmath 7
36. L. A. Sakhnovich, “Operational bezutiant in the theory of separation of roots of entire functions”, Funktsional. Anal. i Prilozhen., 10:1 (1976),  54–61  mathnet  mathscinet  zmath; Funct. Anal. Appl., 10:1 (1976), 45–51 17
1974
37. L. A. Sakhnovich, “On the $J$-unitary dilation of a bounded operator”, Funktsional. Anal. i Prilozhen., 8:3 (1974),  83–84  mathnet  mathscinet  zmath; Funct. Anal. Appl., 8:3 (1974), 265–267 2
1972
38. L. A. Sakhnovich, “Similarity of operators”, Sibirsk. Mat. Zh., 13:4 (1972),  868–883  mathnet  mathscinet  zmath; Siberian Math. J., 13:4 (1972), 604–615 7
39. L. A. Sakhnovich, “On allowing for all scattering channels in an $n$-body problem with Coulomb interaction”, TMF, 13:3 (1972),  421–427  mathnet  mathscinet; Theoret. and Math. Phys., 13:3 (1972), 1239–1244 4
1971
40. L. A. Sakhnovich, “On similarity of linear operators”, Dokl. Akad. Nauk SSSR, 200:3 (1971),  541–544  mathnet  mathscinet  zmath 1
41. L. A. Sakhnovich, “The invariance principle for generalized wave operators”, Funktsional. Anal. i Prilozhen., 5:1 (1971),  61–68  mathnet  mathscinet  zmath; Funct. Anal. Appl., 5:1 (1971), 49–55 7
1970
42. L. A. Sakhnovich, “Generalized wave operators”, Mat. Sb. (N.S.), 81(123):2 (1970),  209–227  mathnet  mathscinet  zmath; Math. USSR-Sb., 10:2 (1970), 197–216 8
43. L. A. Sakhnovich, “Generalized wave operators and regularization of perturbation series”, TMF, 2:1 (1970),  80–86  mathnet  mathscinet; Theoret. and Math. Phys., 2:1 (1970), 60–65 7
1969
44. L. A. Sakhnovich, “The discrete and continuous spectra of the radial Dirac equation”, Dokl. Akad. Nauk SSSR, 185:1 (1969),  61–64  mathnet  mathscinet 1
45. L. A. Sakhnovich, “Nonunitary operators with absolutely continuous spectrum”, Izv. Akad. Nauk SSSR Ser. Mat., 33:1 (1969),  52–64  mathnet  mathscinet  zmath; Math. USSR-Izv., 3:1 (1969), 51–63 7
1968
46. L. A. Sakhnovich, “Nonunitary operators with absolutely continuous spectrum on the unit cycle”, Dokl. Akad. Nauk SSSR, 181:3 (1968),  558–561  mathnet  mathscinet  zmath 1
47. L. A. Sakhnovich, “Operators which are similar to unitary operators with absolutely continuous spectrum”, Funktsional. Anal. i Prilozhen., 2:1 (1968),  51–63  mathnet  mathscinet  zmath; Funct. Anal. Appl., 2:1 (1968), 48–60 16
48. L. A. Sakhnovič, “Dissipative operators with absolutely continuous spectrum”, Tr. Mosk. Mat. Obs., 19 (1968),  211–270  mathnet  mathscinet  zmath 21
49. L. A. Sakhnovich, “Dissipative Volterra operators”, Mat. Sb. (N.S.), 76(118):3 (1968),  323–343  mathnet  mathscinet  zmath; Math. USSR-Sb., 5:3 (1968), 311–331 6
1966
50. L. A. Sakhnovich, “Integral over an ellipsoid and the second Born approximation”, Dokl. Akad. Nauk SSSR, 169:2 (1966),  284–287  mathnet  mathscinet  zmath
51. L. A. Sakhnovich, “An integral over a paraboloid and the Born first approximation”, Dokl. Akad. Nauk SSSR, 168:2 (1966),  288–291  mathnet  zmath
52. L. A. Sakhnovich, “Dissipative operators with an absolutely continuous spectrum”, Dokl. Akad. Nauk SSSR, 167:4 (1966),  760–763  mathnet  mathscinet  zmath 2
53. L. A. Sakhnovich, “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  mathnet  mathscinet  zmath 3
1965
54. L. A. Sakhnovich, “On the spectrum of the radial Schrödinger equation in the neighbourhood of zero”, Mat. Sb. (N.S.), 67(109):2 (1965),  221–243  mathnet  mathscinet  zmath 3
1964
55. L. A. Sakhnovich, “On the spectrum of the anharmonic oscillator”, Izv. Akad. Nauk SSSR Ser. Mat., 28:6 (1964),  1345–1362  mathnet  mathscinet  zmath 3
56. L. A. Sakhnovich, “Analytic properties of the discrete spectrum of the Schrödinger equation”, Mat. Sb. (N.S.), 64(106):2 (1964),  185–204  mathnet  mathscinet  zmath 1
1963
57. L. A. Sakhnovich, “Some properties of the discrete spectrum of the radial Schrödinger equation”, Dokl. Akad. Nauk SSSR, 153:2 (1963),  286–289  mathnet  mathscinet  zmath 1
58. L. A. Sakhnovich, “A semi-inverse problem”, Uspekhi Mat. Nauk, 18:3(111) (1963),  199–206  mathnet  mathscinet  zmath 1
1962
59. L. A. Sakhnovich, “The discrete spectrum of the Schrödinger radial equation”, Dokl. Akad. Nauk SSSR, 142:3 (1962),  550–553  mathnet  mathscinet  zmath
60. L. A. Sakhnovich, “On the discrete spectrum of the radial Schrödinger equation”, Mat. Sb. (N.S.), 58(100):4 (1962),  377–396  mathnet  mathscinet  zmath
61. L. A. Sakhnovich, “The inverse problem for fourth-order equations”, Mat. Sb. (N.S.), 56(98):2 (1962),  137–146  mathnet  mathscinet  zmath
1961
62. L. A. Sakhnovich, “Necessary conditions for the existence of a transformation operator for fourth-order equations”, Uspekhi Mat. Nauk, 16:5(101) (1961),  199–204  mathnet  mathscinet  zmath 2
63. L. A. Sakhnovich, “A transform operator method for equations of higher order”, Mat. Sb. (N.S.), 55(97):3 (1961),  347–360  mathnet  mathscinet  zmath 4
1959
64. L. A. Sakhnovich, “A study of the “triangular form” of non-selfadjoint operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1959, no. 4,  141–149  mathnet  mathscinet  zmath 2
65. L. A. Sakhnovich, “The reduction of non-selfadjoint operators to triangular form”, Izv. Vyssh. Uchebn. Zaved. Mat., 1959, no. 1,  180–186  mathnet  mathscinet  zmath
1958
66. L. A. Sakhnovich, “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  mathnet  mathscinet  zmath 10
67. L. A. Sakhnovich, “Reduction of a non-selfadjoint operator with continuous spectrum to diagonal form”, Uspekhi Mat. Nauk, 13:4(82) (1958),  193–196  mathnet  mathscinet  zmath
68. L. A. Sakhnovich, “Inverse problem for differential operators of order $n>2$ with analytic coefficients”, Mat. Sb. (N.S.), 46(88):1 (1958),  61–76  mathnet  mathscinet  zmath 18
69. L. A. Sakhnovich, “Reduction to diagonal form of non-selfadjoint operators with continuous spectrum”, Mat. Sb. (N.S.), 44(86):4 (1958),  509–548  mathnet  mathscinet  zmath 2
1957
70. L. A. Sakhnovich, “The spectral analysis of Volterra operators and some inverse problems”, Dokl. Akad. Nauk SSSR, 115:4 (1957),  666–669  mathnet  mathscinet  zmath 3
71. L. A. Sakhnovich, “Reduction of non-selfadjoined operators to the diagonal form”, Dokl. Akad. Nauk SSSR, 115:3 (1957),  462–465  mathnet  mathscinet  zmath
72. L. A. Sakhnovich, “On reduction of Volterra operators to the simplest form and on inverse problems”, Izv. Akad. Nauk SSSR Ser. Mat., 21:2 (1957),  235–262  mathnet  mathscinet  zmath 6
73. L. A. Sakhnovich, “On limit values of multiplicative integrals”, Uspekhi Mat. Nauk, 12:3(75) (1957),  205–210  mathnet  mathscinet  zmath

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