Levitan Boris Moiseevich

Publications in Math-Net.Ru

1. A characterization of some even vector-valued Sturm–Liouville problems
   
   Mat. Fiz. Anal. Geom., 5:3/4 (1998),  166–181
2. On the work of Nikolai Nikolaevich Bogolyubov in the theory of almost periodic functions
   
   Uspekhi Mat. Nauk, 49:5(299) (1994),  71–82
3. An estimate of the Cauchy matrix function for the dirac system in the case of finite-gap nonperiodic potentials
   
   Mat. Zametki, 53:4 (1993),  62–76
4. Estimation of the Cauchy function for finite-zone nonperiodic potentials
   
   Funktsional. Anal. i Prilozhen., 26:2 (1992),  18–28
5. Asymptotic behavior of Weyl–Titchmarsh m-function in the case of the Dirac system
   
   Mat. Zametki, 50:2 (1991),  67–76
6. On expansion in products of special solutions of two Sturm–Liouville equations
   
   Dokl. Akad. Nauk SSSR, 310:4 (1990),  781–784
7. On the asymptotic behavior of the discrete spectrum of the Dirichlet and Neumann problems for the Laplace–Beltrami operator on a regular polyhedron in the Lobachevskii space
   
   Funktsional. Anal. i Prilozhen., 24:1 (1990),  21–28
8. On the asymptotic behaviour of the Titchmarsh–Weyl $m$-function
   
   Izv. Akad. Nauk SSSR Ser. Mat., 54:3 (1990),  469–479
9. Asymptotics of the Weyl–Titchmarsh $m$-function
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 3,  9–14
10. An inverse problem on the half line for finite-gap potentials
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 1,  21–28
11. Asymptotic formulae for the number of lattice points in Euclidean and Lobachevskii spaces
    
    Uspekhi Mat. Nauk, 42:3(255) (1987),  13–38
12. Sturm-liouville operators on the whole line, with the same discrete spectrum
    
    Mat. Sb. (N.S.), 132(174):1 (1987),  73–103
13. Examples of Schrödinger operators with almost-periodic potentials and nowhere-dense absolutely continuous spectrum
    
    Dokl. Akad. Nauk SSSR, 276:3 (1984),  539–542
14. On the closure of the set of finite-zone potentials
    
    Mat. Sb. (N.S.), 123(165):1 (1984),  69–91
15. Approximation of infinite-zone potentials by finite-zone potentials
    
    Izv. Akad. Nauk SSSR Ser. Mat., 46:1 (1982),  56–87
16. Inverse problem for the Sturm-Liouville operator in the case of finite-range and infinite-range potentials
    
    Tr. Mosk. Mat. Obs., 45 (1982),  3–36
17. Almost periodicity of infinite-zone potentials
    
    Izv. Akad. Nauk SSSR Ser. Mat., 45:2 (1981),  291–320
18. Conditions for selfadjointness of the Schrödinger and Dirac operators
    
    Tr. Mosk. Mat. Obs., 42 (1981),  142–159
19. Regularized traces and conditions of smooth periodicity of the potential of a Sturm–Liouville equation
    
    Sibirsk. Mat. Zh., 22:2 (1981),  137–148
20. Almost periodicity of infinite-zone potentials
    
    Dokl. Akad. Nauk SSSR, 253:5 (1980),  1044–1046
21. Sufficient conditions for the solvability of the inverse problem of scattering theory on the entire line
    
    Mat. Sb. (N.S.), 108(150):3 (1979),  350–357
22. On the determination of the Sturm–Liouville operator from one and two spectra
    
    Izv. Akad. Nauk SSSR Ser. Mat., 42:1 (1978),  185–199
23. Problem of focusing and the asymptotics of the spectral function of the Laplace–Beltrami operator. I
    
    Zap. Nauchn. Sem. LOMI, 78 (1978),  3–19
24. On conditions for selfadjointness of the Schrödinger and Dirac operators
    
    Dokl. Akad. Nauk SSSR, 235:4 (1977),  768–771
25. On the solvability of the inverse Sturm–Liouville problem on the whole axis in the case of an infinite number of lacunas in the spectrum
    
    Dokl. Akad. Nauk SSSR, 235:3 (1977),  523–526
26. On the solvability of the inverse Sturm–Liouville problem on the entire line
    
    Dokl. Akad. Nauk SSSR, 234:1 (1977),  22–25
27. Another method for computing the densities of integrals of motion for the Korteweg–de Vries equation
    
    Mat. Zametki, 22:1 (1977),  129–135
28. Favard theory
    
    Uspekhi Mat. Nauk, 32:2(194) (1977),  123–171
29. The focussing problem and the asymptotic behavior of the spectral function of the Laplace–Beltrami operator
    
    Dokl. Akad. Nauk SSSR, 230:5 (1976),  1017–1020
30. The inverse scattering problem of quantum theory
    
    Mat. Zametki, 17:4 (1975),  611–624
31. Asymptotic behaviour of the spectral function of an elliptic equat
    
    Uspekhi Mat. Nauk, 26:6(162) (1971),  151–212
32. Sufficient conditions for a discrete spectrum in the case of a Sturm–Liouville equation with operator coefficients
    
    Funktsional. Anal. i Prilozhen., 2:2 (1968),  56–62
33. Properties of the Green's function for a Sturm–Liouville equation with an operator coefficient
    
    Mat. Sb. (N.S.), 76(118):2 (1968),  239–270
34. Asymptotic behavior of the eigenvalues of the Sturm–Liouville operator problem
    
    Funktsional. Anal. i Prilozhen., 1:1 (1967),  86–96
35. Conditions for discreteness and finiteness of the negative spectrum of Schrödinger's operator equation
    
    Mat. Zametki, 2:5 (1967),  531–538
36. The asymptotic behavior of eigenvalues for the case when the potential depends on the parameter
    
    Mat. Zametki, 1:5 (1967),  595–604
37. Theorem on the argument of an almost periodic function
    
    Mat. Zametki, 1:1 (1967),  35–44
38. Determination of the Dirac system from the scattering phase
    
    Dokl. Akad. Nauk SSSR, 167:6 (1966),  1219–1222
39. The inverse problem for the Dirac system
    
    Dokl. Akad. Nauk SSSR, 167:5 (1966),  967–970
40. Integration of almost periodic functions with values in a Banach space
    
    Izv. Akad. Nauk SSSR Ser. Mat., 30:5 (1966),  1101–1110
41. On the continuation of the one-dimensional Dirac system
    
    Dokl. Akad. Nauk SSSR, 165:6 (1965),  1241–1244
42. The asymptotic behaviour of the spectral functions of the Schrödinger operator near a planar part of the boundary
    
    Izv. Akad. Nauk SSSR Ser. Mat., 28:3 (1964),  527–552
43. Determination of a Sturm–Liouville differential equation in terms of two spectra
    
    Izv. Akad. Nauk SSSR Ser. Mat., 28:1 (1964),  63–78
44. Determination of a differential equation by two of its spectra
    
    Uspekhi Mat. Nauk, 19:2(116) (1964),  3–63
45. Calculation of the regularized trace for the Sturm–Liouville operator
    
    Uspekhi Mat. Nauk, 19:1(115) (1964),  161–165
46. Sturm–Liouville differential operators with discrete spectrum
    
    Mat. Sb. (N.S.), 63(105):3 (1964),  445–458
47. On the sum of the differences of the eigenvalues of two singular Sturm–Liouville operators
    
    Dokl. Akad. Nauk SSSR, 151:5 (1963),  1014–1017
48. Determination of the Sturm–Liouville differential equation by two spectra
    
    Dokl. Akad. Nauk SSSR, 150:3 (1963),  474–476
49. On the continuation of solutions of partial differential equations
    
    Dokl. Akad. Nauk SSSR, 146:1 (1962),  30–33
50. Lie theorems for generalized translation operators
    
    Tr. Mosk. Mat. Obs., 11 (1962),  127–197
51. On a theorem of Titchmarsh and Sears
    
    Uspekhi Mat. Nauk, 16:4(100) (1961),  175–178
52. Lie's theorems for generalised translation operators
    
    Uspekhi Mat. Nauk, 16:4(100) (1961),  3–30
53. Some problems in the theory of a Sturm–Liouville equation
    
    Uspekhi Mat. Nauk, 15:1(91) (1960),  3–98
54. Adjoined operators of generalized translation
    
    Dokl. Akad. Nauk SSSR, 123:3 (1958),  401–404
55. Converse Lie theorems for general operators of generalized translation
    
    Dokl. Akad. Nauk SSSR, 123:2 (1958),  243–245
56. Lie theorems for generalized operators of translation
    
    Dokl. Akad. Nauk SSSR, 123:1 (1958),  32–35
57. Differentiation of an expansion in eigenfunctions of the Schrödinger equation
    
    Tr. Mosk. Mat. Obs., 7 (1958),  269–290
58. On the asymptotic behavior of Green's function and its expansion in eigenfunctions of Schrödinger's equation
    
    Mat. Sb. (N.S.), 41(83):4 (1957),  439–458
59. On expansions according to eigenfunctions of the equation $\Delta u+\{\lambda-q(x_1,x_2,\dots,x_n)\}=0$
    
    Izv. Akad. Nauk SSSR Ser. Mat., 20:4 (1956),  437–468
60. On the solution of the problem of Cauchy for the equation $\Delta u-q(x_1,x_2,\dots,x_n)u=\dfrac{\partial^2u}{\partial t^2}$ according to the method of Sobolev
    
    Izv. Akad. Nauk SSSR Ser. Mat., 20:3 (1956),  337–376
61. On the expansion according to the eigenfunctions of a self-adjoint partial differential equation
    
    Tr. Mosk. Mat. Obs., 5 (1956),  269–298
62. Certain questions in the spectral theory of self-adjoint differential operators
    
    Uspekhi Mat. Nauk, 11:6(72) (1956),  117–144
63. On differentiation of the spectral function of the Laplace operator
    
    Mat. Sb. (N.S.), 39(81):1 (1956),  37–50
64. On the asymptotic behavior of a spectral function and on expansion in eigenfunctions of a self-adjoint differential equation of second order. II
    
    Izv. Akad. Nauk SSSR Ser. Mat., 19:1 (1955),  33–58
65. On the asymptotic behavior of a spectral function and expansion in eigenfunctions of the equation $\Delta u+\{\lambda-q(x_1,x_2,x_3)\}u=0$
    
    Tr. Mosk. Mat. Obs., 4 (1955),  237–290
66. On expansion in eigenfunctions of the Laplace operator
    
    Mat. Sb. (N.S.), 35(77):2 (1954),  267–316
67. On the spectral function of the equation $y''+\{\lambda-q(x)\}y=0$
    
    Izv. Akad. Nauk SSSR Ser. Mat., 17:5 (1953),  473–484
68. On the asymptotic behavior of the spectral function of a self-adjoint differential equation of the second order and on expansion in eigenfunctions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 17:4 (1953),  331–364
69. On a special Tauberian theorem
    
    Izv. Akad. Nauk SSSR Ser. Mat., 17:3 (1953),  269–284
70. On the asymptotic behavior of the spectral function of a self-adjoint differential equation of the second order
    
    Izv. Akad. Nauk SSSR Ser. Mat., 16:4 (1952),  325–352
71. On some boundary problems for the equations of turbulent heat transfer
    
    Izv. Akad. Nauk SSSR Ser. Mat., 16:3 (1952),  253–280
72. Remark on a theorem of V. A. Marchenko
    
    Tr. Mosk. Mat. Obs., 1 (1952),  421–422
73. On the determination of a differential equation from its spectral function
    
    Izv. Akad. Nauk SSSR Ser. Mat., 15:4 (1951),  309–360
74. Expansion in Fourier series and integrals with Bessel functions
    
    Uspekhi Mat. Nauk, 6:2(42) (1951),  102–143
75. The application of generalized displacement operators to linear differential equations of the second order
    
    Uspekhi Mat. Nauk, 4:1(29) (1949),  3–112
76. A generalization of almost periodic functions
    
    Mat. Sb. (N.S.), 24(66):3 (1949),  321–346
77. Some questions of the theory of almost periodic functions. II
    
    Uspekhi Mat. Nauk, 2:6(22) (1947),  174–214
78. Some questions of the theory of almost periodic functions. I
    
    Uspekhi Mat. Nauk, 2:5(21) (1947),  133–192
79. On the theory of unitary representations of locally compact groups
    
    Rec. Math. [Mat. Sbornik] N.S., 19(61):3 (1946),  407–427
80. A generalization of the operation of translation and infinite hypercomplex systems
    
    Rec. Math. [Mat. Sbornik] N.S., 17(59):2 (1945),  163–192
81. A generalization of the operation of translation and infinite hypercomplex systems
    
    Rec. Math. [Mat. Sbornik] N.S., 17(59):1 (1945),  9–44
82. A generalization of the operation of translation and infinite hypercomplex systems
    
    Rec. Math. [Mat. Sbornik] N.S., 16(58):3 (1945),  259–280
83. Die Verallgemeinerung der Operation der Verschiebung im Zusammenhang mit fastperiodischen Funktionen
    
    Rec. Math. [Mat. Sbornik] N.S., 7(49):3 (1940),  449–478


84. Naum Il'ich Akhiezer (obituary)
    
    Uspekhi Mat. Nauk, 36:4(220) (1981),  183–184
85. Evgtniya Aleksandrovna Bredikhina (obituary)
    
    Uspekhi Mat. Nauk, 30:3(183) (1975),  147–150
86. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
    
    Uspekhi Mat. Nauk, 30:2(182) (1975),  261–269
87. Naum Il'ich Akhiezer (on his seventieth birthday)
    
    Uspekhi Mat. Nauk, 26:6(162) (1971),  257–261
88. Zaid Ismailovich Khalilov (on the occasion of his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 26:3(159) (1971),  221–224
89. Boris Pavlovich Demidovich (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 21:6(132) (1966),  155–160
90. F. V. Atkinson, Discrete and Continuous Boundary Problems (review)
    
    Uspekhi Mat. Nauk, 20:2(122) (1965),  262–264
91. Edward Charles Titchmarsh (obituary)
    
    Uspekhi Mat. Nauk, 19:6(120) (1964),  123–131
92. Letter to the editor
    
    Uspekhi Mat. Nauk, 18:4(112) (1963),  239–241
93. Letter to the editor
    
    Izv. Akad. Nauk SSSR Ser. Mat., 21:4 (1957),  599
94. Correction to the article "On the asymptotic behavior of a spectral function and expansion in eigenfunctions of the equation $\Delta u+\{\lambda-q(x_1,x_2,x_3)\}u=0$" (Trudy Mosk. Mat. O-va 4 (1955))
    
    Tr. Mosk. Mat. Obs., 6 (1957),  481–485
95. Correction to the paper “A generalization of the operation of translation and infinite hypercomplex systems”
    
    Mat. Sb. (N.S.), 24(66):3 (1949),  501–502