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Publications in Math-Net.Ru |
Citations |
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1998 |
1. |
Max Jodeit, Jr., B. M. Levitan, “A characterization of some even vector-valued Sturm–Liouville problems”, Mat. Fiz. Anal. Geom., 5:3/4 (1998), 166–181 |
6
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1994 |
2. |
B. M. Levitan, “On the work of Nikolai Nikolaevich Bogolyubov in the theory of almost periodic functions”, Uspekhi Mat. Nauk, 49:5(299) (1994), 71–82 ; Russian Math. Surveys, 49:5 (1994), 77–88 |
1
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1993 |
3. |
B. M. Levitan, A. É. Mamatov, “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 ; Math. Notes, 53:4 (1993), 400–409 |
2
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1992 |
4. |
B. M. Levitan, A. B. Khasanov, “Estimation of the Cauchy function for finite-zone nonperiodic potentials”, Funktsional. Anal. i Prilozhen., 26:2 (1992), 18–28 ; Funct. Anal. Appl., 26:2 (1992), 91–98 |
6
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1991 |
5. |
A. A. Danielyan, B. M. Levitan, A. B. Khasanov, “Asymptotic behavior of Weyl–Titchmarsh m-function in the case of the Dirac system”, Mat. Zametki, 50:2 (1991), 67–76 ; Math. Notes, 50:2 (1991), 816–823 |
8
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1990 |
6. |
M. G. Gasymov, B. M. Levitan, “On expansion in products of special solutions of two Sturm–Liouville equations”, Dokl. Akad. Nauk SSSR, 310:4 (1990), 781–784 ; Dokl. Math., 41:1 (1990), 113–117 |
2
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7. |
B. M. Levitan, L. B. Parnovskii, “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 ; Funct. Anal. Appl., 24:1 (1991), 18–25 |
2
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8. |
A. A. Danielyan, B. M. Levitan, “On the asymptotic behaviour of the Titchmarsh–Weyl $m$-function”, Izv. Akad. Nauk SSSR Ser. Mat., 54:3 (1990), 469–479 ; Math. USSR-Izv., 36:3 (1991), 487–496 |
15
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1988 |
9. |
A. A. Danielyan, B. M. Levitan, “Asymptotics of the Weyl–Titchmarsh $m$-function”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 3, 9–14 |
10. |
B. M. Levitan, A. V. Savin, “An inverse problem on the half line for finite-gap potentials”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 1, 21–28 |
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1987 |
11. |
B. M. Levitan, “Asymptotic formulae for the number of lattice points in Euclidean and Lobachevskii spaces”, Uspekhi Mat. Nauk, 42:3(255) (1987), 13–38 ; Russian Math. Surveys, 42:3 (1987), 13–42 |
6
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12. |
B. M. Levitan, “Sturm-liouville operators on the whole line, with the same discrete spectrum”, Mat. Sb. (N.S.), 132(174):1 (1987), 73–103 ; Math. USSR-Sb., 60:1 (1988), 77–106 |
20
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1984 |
13. |
B. M. Levitan, A. V. Savin, “Examples of Schrödinger operators with almost-periodic potentials and nowhere-dense absolutely continuous spectrum”, Dokl. Akad. Nauk SSSR, 276:3 (1984), 539–542 |
14. |
B. M. Levitan, “On the closure of the set of finite-zone potentials”, Mat. Sb. (N.S.), 123(165):1 (1984), 69–91 ; Math. USSR-Sb., 51:1 (1985), 67–89 |
25
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1982 |
15. |
B. M. Levitan, “Approximation of infinite-zone potentials by finite-zone potentials”, Izv. Akad. Nauk SSSR Ser. Mat., 46:1 (1982), 56–87 ; Math. USSR-Izv., 20:1 (1983), 55–87 |
16
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16. |
B. M. Levitan, “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 |
4
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1981 |
17. |
B. M. Levitan, “Almost periodicity of infinite-zone potentials”, Izv. Akad. Nauk SSSR Ser. Mat., 45:2 (1981), 291–320 ; Math. USSR-Izv., 18:2 (1982), 249–273 |
18
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18. |
B. M. Levitan, M. Otelbaev, “Conditions for selfadjointness of the Schrödinger and Dirac operators”, Tr. Mosk. Mat. Obs., 42 (1981), 142–159 |
2
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19. |
B. M. Levitan, “Regularized traces and conditions of smooth periodicity of the potential of a Sturm–Liouville equation”, Sibirsk. Mat. Zh., 22:2 (1981), 137–148 ; Siberian Math. J., 22:2 (1981), 273–283 |
1
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1980 |
20. |
B. M. Levitan, “Almost periodicity of infinite-zone potentials”, Dokl. Akad. Nauk SSSR, 253:5 (1980), 1044–1046 |
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1979 |
21. |
B. M. Levitan, “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 ; Math. USSR-Sb., 36:3 (1980), 323–329 |
6
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1978 |
22. |
B. M. Levitan, “On the determination of the Sturm–Liouville operator from one and two spectra”, Izv. Akad. Nauk SSSR Ser. Mat., 42:1 (1978), 185–199 ; Math. USSR-Izv., 12:1 (1978), 179–193 |
37
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23. |
V. M. Babich, B. M. Levitan, “Problem of focusing and the asymptotics of the spectral function of the Laplace–Beltrami operator. I”, Zap. Nauchn. Sem. LOMI, 78 (1978), 3–19 ; J. Soviet Math., 22:1 (1983), 995–1006 |
2
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1977 |
24. |
B. M. Levitan, M. Otelbaev, “On conditions for selfadjointness of the Schrödinger and Dirac operators”, Dokl. Akad. Nauk SSSR, 235:4 (1977), 768–771 |
25. |
B. M. Levitan, “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. |
B. M. Levitan, “On the solvability of the inverse Sturm–Liouville problem on the entire line”, Dokl. Akad. Nauk SSSR, 234:1 (1977), 22–25 |
27. |
B. M. Levitan, “Another method for computing the densities of integrals of motion for the Korteweg–de Vries equation”, Mat. Zametki, 22:1 (1977), 129–135 ; Math. Notes, 22:1 (1977), 562–565 |
1
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28. |
V. V. Zhikov, B. M. Levitan, “Favard theory”, Uspekhi Mat. Nauk, 32:2(194) (1977), 123–171 ; Russian Math. Surveys, 32:2 (1977), 129–180 |
36
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1976 |
29. |
V. M. Babich, B. M. Levitan, “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 |
4
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1975 |
30. |
B. M. Levitan, “The inverse scattering problem of quantum theory”, Mat. Zametki, 17:4 (1975), 611–624 ; Math. Notes, 17:4 (1975), 363–371 |
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1971 |
31. |
B. M. Levitan, “Asymptotic behaviour of the spectral function of an elliptic equat”, Uspekhi Mat. Nauk, 26:6(162) (1971), 151–212 ; Russian Math. Surveys, 26:6 (1971), 165–232 |
9
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1968 |
32. |
B. M. Levitan, G. A. Suvorchenkova, “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 ; Funct. Anal. Appl., 2:2 (1968), 147–152 |
10
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33. |
B. M. Levitan, “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 ; Math. USSR-Sb., 5:2 (1968), 229–259 |
2
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1967 |
34. |
A. G. Kostyuchenko, B. M. Levitan, “Asymptotic behavior of the eigenvalues of the Sturm–Liouville operator problem”, Funktsional. Anal. i Prilozhen., 1:1 (1967), 86–96 ; Funct. Anal. Appl., 1:1 (1967), 75–83 |
32
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35. |
M. G. Gasymov, V. V. Zhikov, B. M. Levitan, “Conditions for discreteness and finiteness of the negative spectrum of Schrödinger's operator equation”, Mat. Zametki, 2:5 (1967), 531–538 ; Math. Notes, 2:5 (1967), 813–817 |
7
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36. |
B. M. Levitan, A. G. Ramm, “The asymptotic behavior of eigenvalues for the case when the potential depends on the parameter”, Mat. Zametki, 1:5 (1967), 595–604 ; Math. Notes, 1:5 (1967), 393–399 |
37. |
B. M. Levitan, “Theorem on the argument of an almost periodic function”, Mat. Zametki, 1:1 (1967), 35–44 ; Math. Notes, 1:1 (1967), 23–28 |
1
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1966 |
38. |
M. G. Gasymov, B. M. Levitan, “Determination of the Dirac system from the scattering phase”, Dokl. Akad. Nauk SSSR, 167:6 (1966), 1219–1222 |
3
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39. |
M. G. Gasymov, B. M. Levitan, “The inverse problem for the Dirac system”, Dokl. Akad. Nauk SSSR, 167:5 (1966), 967–970 |
4
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40. |
B. M. Levitan, “Integration of almost periodic functions with values in a Banach space”, Izv. Akad. Nauk SSSR Ser. Mat., 30:5 (1966), 1101–1110 |
4
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1965 |
41. |
B. M. Levitan, I. S. Sargsyan, “On the continuation of the one-dimensional Dirac system”, Dokl. Akad. Nauk SSSR, 165:6 (1965), 1241–1244 |
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1964 |
42. |
M. G. Gasymov, B. M. Levitan, “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. |
B. M. Levitan, “Determination of a Sturm–Liouville differential equation in terms of two spectra”, Izv. Akad. Nauk SSSR Ser. Mat., 28:1 (1964), 63–78 |
5
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44. |
B. M. Levitan, M. G. Gasymov, “Determination of a differential equation by two of its spectra”, Uspekhi Mat. Nauk, 19:2(116) (1964), 3–63 ; Russian Math. Surveys, 19:2 (1964), 1–63 |
160
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45. |
B. M. Levitan, “Calculation of the regularized trace for the Sturm–Liouville operator”, Uspekhi Mat. Nauk, 19:1(115) (1964), 161–165 |
11
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46. |
M. G. Gasymov, B. M. Levitan, “Sturm–Liouville differential operators with discrete spectrum”, Mat. Sb. (N.S.), 63(105):3 (1964), 445–458 |
1
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1963 |
47. |
M. G. Gasymov, B. M. Levitan, “On the sum of the differences of the eigenvalues of two singular Sturm–Liouville operators”, Dokl. Akad. Nauk SSSR, 151:5 (1963), 1014–1017 |
4
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48. |
B. M. Levitan, “Determination of the Sturm–Liouville differential equation by two spectra”, Dokl. Akad. Nauk SSSR, 150:3 (1963), 474–476 |
1
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1962 |
49. |
B. M. Levitan, “On the continuation of solutions of partial differential equations”, Dokl. Akad. Nauk SSSR, 146:1 (1962), 30–33 |
50. |
B. M. Levitan, “Lie theorems for generalized translation operators”, Tr. Mosk. Mat. Obs., 11 (1962), 127–197 |
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1961 |
51. |
B. M. Levitan, “On a theorem of Titchmarsh and Sears”, Uspekhi Mat. Nauk, 16:4(100) (1961), 175–178 |
6
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52. |
B. M. Levitan, “Lie's theorems for generalised translation operators”, Uspekhi Mat. Nauk, 16:4(100) (1961), 3–30 ; Russian Math. Surveys, 16:4 (1961), 1–28 |
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1960 |
53. |
B. M. Levitan, I. S. Sargsyan, “Some problems in the theory of a Sturm–Liouville equation”, Uspekhi Mat. Nauk, 15:1(91) (1960), 3–98 ; Russian Math. Surveys, 15:1 (1960), 1–95 |
8
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1958 |
54. |
B. M. Levitan, “Adjoined operators of generalized translation”, Dokl. Akad. Nauk SSSR, 123:3 (1958), 401–404 |
55. |
B. M. Levitan, “Converse Lie theorems for general operators of generalized translation”, Dokl. Akad. Nauk SSSR, 123:2 (1958), 243–245 |
56. |
B. M. Levitan, “Lie theorems for generalized operators of translation”, Dokl. Akad. Nauk SSSR, 123:1 (1958), 32–35 |
57. |
B. M. Levitan, “Differentiation of an expansion in eigenfunctions of the Schrödinger equation”, Tr. Mosk. Mat. Obs., 7 (1958), 269–290 |
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1957 |
58. |
B. M. Levitan, “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 |
3
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1956 |
59. |
B. M. Levitan, “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 |
3
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60. |
B. M. Levitan, “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 |
1
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61. |
B. M. Levitan, “On the expansion according to the eigenfunctions of a self-adjoint partial differential equation”, Tr. Mosk. Mat. Obs., 5 (1956), 269–298 |
3
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62. |
B. M. Levitan, “Certain questions in the spectral theory of self-adjoint differential operators”, Uspekhi Mat. Nauk, 11:6(72) (1956), 117–144 |
1
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63. |
B. M. Levitan, “On differentiation of the spectral function of the Laplace operator”, Mat. Sb. (N.S.), 39(81):1 (1956), 37–50 |
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1955 |
64. |
B. M. Levitan, “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 |
11
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65. |
B. M. Levitan, “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 |
3
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1954 |
66. |
B. M. Levitan, “On expansion in eigenfunctions of the Laplace operator”, Mat. Sb. (N.S.), 35(77):2 (1954), 267–316 |
4
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1953 |
67. |
B. M. Levitan, “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. |
B. M. Levitan, “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 |
7
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69. |
B. M. Levitan, “On a special Tauberian theorem”, Izv. Akad. Nauk SSSR Ser. Mat., 17:3 (1953), 269–284 |
2
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1952 |
70. |
B. M. Levitan, “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 |
2
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71. |
G. I. Barenblatt, B. M. Levitan, “On some boundary problems for the equations of turbulent heat transfer”, Izv. Akad. Nauk SSSR Ser. Mat., 16:3 (1952), 253–280 |
72. |
B. M. Levitan, “Remark on a theorem of V. A. Marchenko”, Tr. Mosk. Mat. Obs., 1 (1952), 421–422 |
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1951 |
73. |
I. M. Gel'fand, B. M. Levitan, “On the determination of a differential equation from its spectral function”, Izv. Akad. Nauk SSSR Ser. Mat., 15:4 (1951), 309–360 |
59
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74. |
B. M. Levitan, “Expansion in Fourier series and integrals with Bessel functions”, Uspekhi Mat. Nauk, 6:2(42) (1951), 102–143 |
66
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1949 |
75. |
B. M. Levitan, “The application of generalized displacement operators to linear differential equations of the second order”, Uspekhi Mat. Nauk, 4:1(29) (1949), 3–112 |
6
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76. |
B. M. Levitan, “A generalization of almost periodic functions”, Mat. Sb. (N.S.), 24(66):3 (1949), 321–346 |
1
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1947 |
77. |
B. M. Levitan, “Some questions of the theory of almost periodic functions. II”, Uspekhi Mat. Nauk, 2:6(22) (1947), 174–214 |
2
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78. |
B. M. Levitan, “Some questions of the theory of almost periodic functions. I”, Uspekhi Mat. Nauk, 2:5(21) (1947), 133–192 |
2
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1946 |
79. |
B. Levitan, “On the theory of unitary representations of locally compact groups”, Rec. Math. [Mat. Sbornik] N.S., 19(61):3 (1946), 407–427 |
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1945 |
80. |
B. M. Lewitan, “A generalization of the operation of translation and infinite hypercomplex systems”, Rec. Math. [Mat. Sbornik] N.S., 17(59):2 (1945), 163–192 |
81. |
B. M. Lewitan, “A generalization of the operation of translation and infinite hypercomplex systems”, Rec. Math. [Mat. Sbornik] N.S., 17(59):1 (1945), 9–44 |
82. |
B. M. Lewitan, “A generalization of the operation of translation and infinite hypercomplex systems”, Rec. Math. [Mat. Sbornik] N.S., 16(58):3 (1945), 259–280 |
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1940 |
83. |
B. Lewitan, “Die Verallgemeinerung der Operation der Verschiebung im Zusammenhang mit fastperiodischen Funktionen”, Rec. Math. [Mat. Sbornik] N.S., 7(49):3 (1940), 449–478 |
1
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1981 |
84. |
A. N. Kolmogorov, M. G. Krein, B. Ya. Levin, B. M. Levitan, Yu. I. Lyubich, V. A. Marchenko, I. V. Ostrovskii, A. Ya. Povzner, A. V. Pogorelov, “Naum Il'ich Akhiezer (obituary)”, Uspekhi Mat. Nauk, 36:4(220) (1981), 183–184 ; Russian Math. Surveys, 36:4 (1981), 207–208 |
1
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1975 |
85. |
B. M. Levitan, D. E. Men'shov, S. B. Stechkin, P. L. Ul'yanov, “Evgtniya Aleksandrovna Bredikhina (obituary)”, Uspekhi Mat. Nauk, 30:3(183) (1975), 147–150 ; Russian Math. Surveys, 30:3 (1975), 129–133 |
1
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86. |
É. Dzhusti, M. I. Vishik, A. V. Fursikov, A. S. Schwarz, O. I. Bogoyavlenskii, B. M. Levitan, V. V. Kucherenko, A. G. Kushnirenko, M. V. Fedoryuk, M. A. Shubin, A. D. Bruno, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 30:2(182) (1975), 261–269 |
9
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1971 |
87. |
Yu. M. Berezanskii, A. N. Kolmogorov, M. G. Krein, B. Ya. Levin, B. M. Levitan, V. A. Marchenko, “Naum Il'ich Akhiezer (on his seventieth birthday)”, Uspekhi Mat. Nauk, 26:6(162) (1971), 257–261 ; Russian Math. Surveys, 26:6 (1971), 233–237 |
2
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88. |
I. M. Gel'fand, A. G. Kostyuchenko, B. M. Levitan, Ya. B. Lopatinskii, S. L. Sobolev, G. E. Shilov, “Zaid Ismailovich Khalilov (on the occasion of his sixtieth birthday)”, Uspekhi Mat. Nauk, 26:3(159) (1971), 221–224 ; Russian Math. Surveys, 26:3 (1971), 185–188 |
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1966 |
89. |
B. M. Levitan, P. N. Papush, “Boris Pavlovich Demidovich (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 21:6(132) (1966), 155–160 ; Russian Math. Surveys, 21:6 (1966), 159–164 |
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1965 |
90. |
B. M. Levitan, “F. V. Atkinson, Discrete and Continuous Boundary Problems (review)”, Uspekhi Mat. Nauk, 20:2(122) (1965), 262–264 |
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1964 |
91. |
B. M. Levitan, “Edward Charles Titchmarsh (obituary)”, Uspekhi Mat. Nauk, 19:6(120) (1964), 123–131 |
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1963 |
92. |
B. M. Levitan, “Letter to the editor”, Uspekhi Mat. Nauk, 18:4(112) (1963), 239–241 |
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1957 |
93. |
B. M. Levitan, “Letter to the editor”, Izv. Akad. Nauk SSSR Ser. Mat., 21:4 (1957), 599 |
94. |
B. M. Levitan, “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 |
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1949 |
95. |
B. M. Levitan, “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 |
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