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Publications in Math-Net.Ru |
Citations |
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1981 |
1. |
M. G. Krein, G. K. Langer, “Continual analogues of orthogonal polynomials on the unit circle with respect to an indefinite weight, and the extension problems connected with them”, Dokl. Akad. Nauk SSSR, 258:3 (1981), 537–541 |
2
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2. |
D. Z. Arov, M. G. Krein, “Problem of search of the minimum of entropy in indeterminate extension problems”, Funktsional. Anal. i Prilozhen., 15:2 (1981), 61–64 ; Funct. Anal. Appl., 15:2 (1981), 123–126 |
55
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1979 |
3. |
M. G. Krein, A. A. Nudelman, “On direct and inverse problems for the boundary dissipation frequencies of a nonuniform string”, Dokl. Akad. Nauk SSSR, 247:5 (1979), 1046–1049 |
3
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4. |
M. G. Krein, A. A. Nudelman, “Some propositions of the Fourier–Plancherel and Paley–Wiener type obtained by methods in the spectral theory of functions”, Funktsional. Anal. i Prilozhen., 13:4 (1979), 79–80 ; Funct. Anal. Appl., 13:4 (1979), 301–303 |
2
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1978 |
5. |
M. G. Krein, I. E. Ovcharenko, “Inverse problems for Q-functions and resolvent matrices of positive hermitian operators”, Dokl. Akad. Nauk SSSR, 242:3 (1978), 521–524 |
1
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6. |
M. G. Krein, “Measurable Hermitian-positive functions”, Mat. Zametki, 23:1 (1978), 79–91 ; Math. Notes, 23:1 (1978), 45–50 |
4
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7. |
V. M. Adamyan, D. Z. Arov, M. G. Krein, “7.6. The approximation by functions in $H^\infty+C$”, Zap. Nauchn. Sem. LOMI, 81 (1978), 190–192 ; J. Soviet Math., 26:5 (1984), 2224–2225 |
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1977 |
8. |
M. G. Krein, I. M. Spitkovsky, “On factorization of matrix-valued functions on the unit circle”, Dokl. Akad. Nauk SSSR, 234:2 (1977), 287–290 |
3
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9. |
M. G. Krein, “A remark on a theorem from V. A. Jakubovich article: “The frequency theorem for the case in which the state space and the control space are Hilbert spaces, and its application in certain problems in the synthesis of optimal control. II”' (Sibirsk. Mat. Z. 16 (1975), no. 5, 1081–1102)”, Sibirsk. Mat. Zh., 18:6 (1977), 1411–1413 ; Siberian Math. J., 18:6 (1977), 1001–1002 |
3
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10. |
M. G. Krein, I. E. Ovcharenko, “$Q$-functions and $SC$-resolvents of nondensely defined Hermitian contractions”, Sibirsk. Mat. Zh., 18:5 (1977), 1032–1056 ; Siberian Math. J., 18:5 (1977), 728–746 |
5
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1976 |
11. |
M. G. Krein, I. E. Ovcharenko, “On generalized resolvents and resolvent matrices of positive Hermitian operators”, Dokl. Akad. Nauk SSSR, 231:5 (1976), 1063–1066 |
1
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12. |
M. G. Krein, G. K. Langer, “On the indefinite power moment problem”, Dokl. Akad. Nauk SSSR, 226:2 (1976), 261–264 |
1
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1975 |
13. |
M. G. Krein, P. Ya. Nudel'man, “Approximation of $L_2(\omega_1,\omega_2)$ Functions by Minimum-Energy Transfer Functions of Linear Systems”, Probl. Peredachi Inf., 11:2 (1975), 37–60 ; Problems Inform. Transmission, 11:2 (1975), 124–142 |
4
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1973 |
14. |
M. G. Krein, P. Ya. Nudel'man, “On some new problems for Hardy class functions and continuous families of functions with double orthogonality”, Dokl. Akad. Nauk SSSR, 209:3 (1973), 537–540 |
2
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15. |
M. G. Krein, “A hypothesis of A. M. Lyapunov”, Funktsional. Anal. i Prilozhen., 7:3 (1973), 45–54 ; Funct. Anal. Appl., 7:3 (1973), 204–212 |
1
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1971 |
16. |
M. G. Krein, G. K. Langer, “Defective subspaces and generalized resolvents of an Hermitian operator in the space $\Pi_\varkappa$”, Funktsional. Anal. i Prilozhen., 5:3 (1971), 54–69 ; Funct. Anal. Appl., 5:3 (1971), 217–228 |
44
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17. |
M. G. Krein, G. K. Langer, “Defect subspaces and generalized resolvents of an Hermitian operator in the space $\Pi_\varkappa$”, Funktsional. Anal. i Prilozhen., 5:2 (1971), 59–71 ; Funct. Anal. Appl., 5:2 (1971), 136–146 |
90
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18. |
V. M. Adamyan, D. Z. Arov, M. G. Krein, “Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur–Takagi problem”, Mat. Sb. (N.S.), 86(128):1(9) (1971), 34–75 ; Math. USSR-Sb., 15:1 (1971), 31–73 |
437
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1970 |
19. |
M. G. Krein, F. É. Melik-Adamyan, “Some applications of the theorem on factorization of a unitary matrix”, Funktsional. Anal. i Prilozhen., 4:4 (1970), 73–75 ; Funct. Anal. Appl., 4:4 (1970), 327–329 |
6
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20. |
M. G. Krein, Sh. N. Saakyan, “Resolvent matrix of Hermitian operator and the characteristic functions related to it”, Funktsional. Anal. i Prilozhen., 4:3 (1970), 103–104 ; Funct. Anal. Appl., 4:3 (1970), 258–259 |
7
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21. |
V. M. Brodskii, I. Ts. Gokhberg, M. G. Krein, “Determination and fundamental properties of the characteristic function of $\mathcal{Y}$-node”, Funktsional. Anal. i Prilozhen., 4:1 (1970), 88–90 ; Funct. Anal. Appl., 4:1 (1970), 78–80 |
12
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1969 |
22. |
V. M. Brodskii, I. Ts. Gokhberg, M. G. Krein, “General theorems on triangular representations of linear operators and multiplications of their characteristic functions”, Funktsional. Anal. i Prilozhen., 3:4 (1969), 1–27 ; Funct. Anal. Appl., 3:4 (1969), 255–276 |
10
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23. |
V. M. Adamyan, D. Z. Arov, M. G. Krein, “Bounded operators that commute with a contraction of class $C_{00}$ of unit rank of nonunitarity”, Funktsional. Anal. i Prilozhen., 3:3 (1969), 86–87 ; Funct. Anal. Appl., 3:3 (1969), 242–243 |
10
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24. |
M. G. Krein, “Angular localization of the spectrum of a multiplicative integral in a Hilbert space”, Funktsional. Anal. i Prilozhen., 3:1 (1969), 89–90 ; Funct. Anal. Appl., 3:1 (1969), 73–74 |
21
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1968 |
25. |
V. M. Adamyan, D. Z. Arov, M. G. Krein, “Infinite Hankel matrices and generalized Caretheodory–Fejer and I. Schur Problems”, Funktsional. Anal. i Prilozhen., 2:4 (1968), 1–17 ; Funct. Anal. Appl., 2:4 (1968), 269–281 |
36
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26. |
V. M. Adamyan, D. Z. Arov, M. G. Krein, “Infinite hankel matrices and generalized Carathéodory–Fejer and Riesz problems”, Funktsional. Anal. i Prilozhen., 2:1 (1968), 1–19 ; Funct. Anal. Appl., 2:1 (1968), 1–18 |
154
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1967 |
27. |
I. Ts. Gokhberg, M. G. Krein, “Triangular representations of linear operators and multiplicative representations of their characteristic functions”, Dokl. Akad. Nauk SSSR, 175:2 (1967), 272–275 |
1
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28. |
I. Ts. Gokhberg, M. G. Krein, “Description of contraction operators which are similar to unitary operators”, Funktsional. Anal. i Prilozhen., 1:1 (1967), 38–60 ; Funct. Anal. Appl., 1:1 (1967), 33–52 |
15
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1966 |
29. |
M. G. Krein, Yu. L. Shmul'yan, “A class of operators in a space with an indefinite metric”, Dokl. Akad. Nauk SSSR, 170:1 (1966), 34–37 |
2
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30. |
M. G. Krein, Sh. N. Saakyan, “Certain new results in the theory of resolvents of Hermitian operators”, Dokl. Akad. Nauk SSSR, 169:6 (1966), 1269–1272 |
7
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1965 |
31. |
I. Ts. Gokhberg, M. G. Krein, “Multiplicative representation of the characteristic functions of operators close to unitary”, Dokl. Akad. Nauk SSSR, 164:4 (1965), 732–735 |
3
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1964 |
32. |
M. G. Krein, G. K. Langer, “On the theory of quadratic pencils of self-adjoint operators”, Dokl. Akad. Nauk SSSR, 154:6 (1964), 1258–1261 |
6
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33. |
M. G. Krein, “A new application of the fixed-point principle in the theory of operators in a space with indefinite metric”, Dokl. Akad. Nauk SSSR, 154:5 (1964), 1023–1026 |
9
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1963 |
34. |
M. G. Krein, G. K. Langer, “On the spectral function of a self-adjoint operator in a space with indefinite metric”, Dokl. Akad. Nauk SSSR, 152:1 (1963), 39–42 |
10
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1962 |
35. |
I. Ts. Gokhberg, M. G. Krein, “On the problem of factoring operators in a Hilbert space”, Dokl. Akad. Nauk SSSR, 147:2 (1962), 279–282 |
36. |
M. Sh. Birman, M. G. Krein, “On the theory of wave operators and scattering operators”, Dokl. Akad. Nauk SSSR, 144:3 (1962), 475–478 |
24
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37. |
M. G. Krein, “On perturbation determinants and a trace formula for unitary and self-adjoint operators”, Dokl. Akad. Nauk SSSR, 144:2 (1962), 268–271 |
13
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38. |
M. G. Krein, G. Ya. Lyubarskii, “Analytic properties of the multipliers of periodic canonical differential systems of positive type”, Izv. Akad. Nauk SSSR Ser. Mat., 26:4 (1962), 549–572 |
4
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1961 |
39. |
I. Ts. Gokhberg, M. G. Krein, “Volterra operators with imaginary component in one class or another”, Dokl. Akad. Nauk SSSR, 139:4 (1961), 779–782 |
1
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40. |
I. Ts. Gokhberg, M. G. Krein, “On the theory of triangular representations of nonselfadjoint operators”, Dokl. Akad. Nauk SSSR, 137:5 (1961), 1034–1037 |
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1960 |
41. |
M. G. Krein, “A contribution to the theory of linear non-selfadjoined operators”, Dokl. Akad. Nauk SSSR, 130:2 (1960), 254–256 |
1
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1959 |
42. |
I. S. Iokhvidov, M. G. Krein, “Spectral theory of operators in spaces with indefinite metric. II”, Tr. Mosk. Mat. Obs., 8 (1959), 413–496 |
9
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43. |
M. G. Krein, “Criteria for completeness of a system of root vectors of a dissipative operator”, Uspekhi Mat. Nauk, 14:3(87) (1959), 145–152 |
1
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1958 |
44. |
I. Ts. Gokhberg, M. G. Krein, “On the stable system of partial indices in the Hilbert problem for many unknown functions”, Dokl. Akad. Nauk SSSR, 119:5 (1958), 854–857 |
4
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45. |
I. S. Kats, M. G. Krein, “Criteria for the discreteness of the spectrum of a singular string”, Izv. Vyssh. Uchebn. Zaved. Mat., 1958, no. 2, 136–153 |
13
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46. |
M. G. Krein, “Integral equations on the half-line with a kernel depending on the difference of the arguments”, Uspekhi Mat. Nauk, 13:5(83) (1958), 3–120 |
68
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47. |
I. Ts. Gokhberg, M. G. Krein, “Systems of integral equations on the half-line with kernels depending on the difference of the arguments”, Uspekhi Mat. Nauk, 13:2(80) (1958), 3–72 |
70
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1957 |
48. |
M. G. Krein, “On a continuous analogue of a Christoffel formula from the theory of orthogonal polynomials”, Dokl. Akad. Nauk SSSR, 113:5 (1957), 970–973 |
10
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49. |
M. G. Krein, “On Bari bases of a Hilbert space”, Uspekhi Mat. Nauk, 12:3(75) (1957), 333–341 |
3
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50. |
I. Ts. Gokhberg, M. G. Krein, “Fundamental aspects of defect numbers, root numbers and indexes of linear operators”, Uspekhi Mat. Nauk, 12:2(74) (1957), 43–118 |
53
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1956 |
51. |
I. S. Iokhvidov, M. G. Krein, “Spectral theory of operators in space with indefinite metric. I”, Tr. Mosk. Mat. Obs., 5 (1956), 367–432 |
21
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1955 |
52. |
M. G. Krein, P. G. Rekhtman, “Development in a new direction of the Chebyshev–Markov theory of limiting values of integrals”, Uspekhi Mat. Nauk, 10:1(63) (1955), 67–78 |
1
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1953 |
53. |
M. G. Krein, “On the trace formula in perturbation theory”, Mat. Sb. (N.S.), 33(75):3 (1953), 597–626 |
37
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1952 |
54. |
M. G. Krein, “On the indeterminate case of the Sturm–Liouville boundary problem in the interval $(0,\infty)$”, Izv. Akad. Nauk SSSR Ser. Mat., 16:4 (1952), 293–324 |
8
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55. |
M. G. Krein, M. A. Krasnosel'skii, “Stability of the index of an unbounded operator”, Mat. Sb. (N.S.), 30(72):1 (1952), 219–224 |
2
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1951 |
56. |
M. G. Krein, “The ideas of P. L. Chebyshev and A. A. Markov in the theory of limiting values of integrals and their further development”, Uspekhi Mat. Nauk, 6:4(44) (1951), 3–120 |
3
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57. |
M. G. Krein, “On the application of an algebraic proposition in the theory of matrices of monodromy”, Uspekhi Mat. Nauk, 6:1(41) (1951), 171–177 |
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1950 |
58. |
M. G. Krein, “On an application of the fixed point principle in the theory of linear transformations of spaces with an indefinite metric”, Uspekhi Mat. Nauk, 5:2(36) (1950), 180–190 |
12
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59. |
S. I. Zukhovitskii, M. G. Krein, “Remark on a possible generalization of the theorems of A. Haar and A. N. Kolmogorov”, Uspekhi Mat. Nauk, 5:1(35) (1950), 217–229 |
2
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1948 |
60. |
M. G. Krein, “On some questions related to the ideas of Lyapunov in the theory of stability”, Uspekhi Mat. Nauk, 3:3(25) (1948), 166–169 |
3
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1947 |
61. |
M. Krein, “A contribution to the
theory of entire functions of
exponential type”, Izv. Akad. Nauk SSSR Ser. Mat., 11:4 (1947), 309–326 |
11
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62. |
M. G. Krein, M. A. Krasnosel'skii, “Fundamental theorems on the extension of Hermitian operators and certain of their applications to the theory of orthogonal polynomials and the problem of moments”, Uspekhi Mat. Nauk, 2:3(19) (1947), 60–106 |
4
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63. |
M. G. Krein, “The theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications. II”, Rec. Math. [Mat. Sbornik] N.S., 21(63):3 (1947), 365–404 |
24
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64. |
M. Krein, “The theory of self-adjoint extensions of somi-bcunded Hermitian transformations and its applications. I”, Rec. Math. [Mat. Sbornik] N.S., 20(62):3 (1947), 431–495 |
51
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1946 |
65. |
M. Krein, “Sur un théorème de M. Vygodsky”, Rec. Math. [Mat. Sbornik] N.S., 18(60):3 (1946), 447–450 |
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1943 |
66. |
Mark Krein, Selim Krein, “Sur l'espace des fonctions continues définies sur un bicompact de Hausdorff et ses sousespaces semiordonnés”, Rec. Math. [Mat. Sbornik] N.S., 13(55):1 (1943), 1–38 |
3
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1937 |
67. |
M. Krein, “Sur les opérateurs différentials autoadjoints et leurs fonctions de Green symétriques”, Rec. Math. [Mat. Sbornik] N.S., 2(44):6 (1937), 1023–1072 |
3
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68. |
M. Krein, “Sur les développements des fonctions arbitraires en séries de fonctions fondamentales d'un problème aux limits quelconque”, Rec. Math. [Mat. Sbornik] N.S., 2(44):5 (1937), 923–933 |
69. |
M. Krein, “Sur les valeurs caractéristiques des noyaux symétriques dérivables”, Rec. Math. [Mat. Sbornik] N.S., 2(44):4 (1937), 725–732 |
3
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1935 |
70. |
F. Gantmakher, M. Krein, “Sur une classe spéciale de déterminants ayant le rapport aux noyaux de Kellog”, Mat. Sb., 42:4 (1935), 501–508 |
1
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1934 |
71. |
Mark Krein, “Über die Knoten der harmonischen Schwingungen einiger spezieller mechanischer Systeme”, Mat. Sb., 41:2 (1934), 339–348 |
1
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1933 |
72. |
M. Krein, “Über eine neue Klasse von Hermiteschen Formen und über eine Verallgemeinerung des trigonometrischen Momentenproblems”, Bulletin de l'Académie des Sciences de l'URSS. Classe des sciences mathématiques et na, 1933, no. 9, 1259–1275 |
73. |
M. Krein, “Über das Spektrum der Jakobischen Form in Verbindung mit der Theorie der Torsionsschwingungen von Walzen”, Mat. Sb., 40:4 (1933), 455–466 |
1
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74. |
M. Krein, “Zur Theorie der symmetrischen Polynome”, Mat. Sb., 40:3 (1933), 271–283 |
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1987 |
75. |
Yu. M. Berezanskii, I. M. Gel'fand, M. G. Krein, S. G. Krein, Yu. A. Mitropol'skii, A. V. Skorokhod, “Yurii L'vovich Daletskii (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 42:4(256) (1987), 213–214 ; Russian Math. Surveys, 42:4 (1987), 183–185 |
1
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76. |
I. M. Gel'fand, M. G. Krein, V. A. Marchenko, N. K. Nikol'skii, I. V. Ostrovskii, “Boris Yakovlevich Levin (on his eightieth birthday)”, Uspekhi Mat. Nauk, 42:4(256) (1987), 207–210 ; Russian Math. Surveys, 42:4 (1987), 175–178 |
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1985 |
77. |
Yu. M. Berezanskii, M. G. Krein, S. L. Sobolev, E. M. Semenov, “Iosif Semenovich Iokhvidov (obituary)”, Uspekhi Mat. Nauk, 40:6(246) (1985), 131–132 ; Russian Math. Surveys, 40:6 (1985), 113–115 |
78. |
M. G. Gasymov, M. G. Krein, B. Ya. Levin, V. A. Marchenko, I. S. Sargsyan, S. L. Sobolev, “Boris Moiseevich Levitan (on his seventieth birthday)”, Uspekhi Mat. Nauk, 40:2(242) (1985), 209–210 ; Russian Math. Surveys, 40:2 (1985), 247–249 |
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1981 |
79. |
N. N. Bogolyubov, I. M. Gel'fand, R. L. Dobrushin, A. A. Kirillov, M. G. Krein, D. A. Leites, R. A. Minlos, Ya. G. Sinai, M. A. Shubin, “Feliks Aleksandrovich Berezin (obituary)”, Uspekhi Mat. Nauk, 36:4(220) (1981), 185–190 ; Russian Math. Surveys, 36:4 (1981), 209–216 |
1
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80. |
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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1980 |
81. |
I. M. Gel'fand, M. I. Graev, D. P. Zhelobenko, R. S. Ismagilov, M. G. Krein, L. D. Kudryavtsev, S. M. Nikol'skii, A. Ya. Helemskii, A. V. Strauss, “Mark Aronovich Naimark (obituary)”, Uspekhi Mat. Nauk, 35:4(214) (1980), 135–140 ; Russian Math. Surveys, 35:4 (1980), 157–164 |
2
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1977 |
82. |
N. I. Akhiezer, N. V. Efimov, M. G. Krein, M. A. Lavrent'ev, V. A. Marchenko, I. V. Ostrovskii, B. V. Shabat, “Boris Yakovlevich Levin (on his seventieth birthday)”, Uspekhi Mat. Nauk, 32:5(197) (1977), 211–213 ; Russian Math. Surveys, 32:5 (1977), 181–184 |
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1971 |
83. |
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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1968 |
84. |
N. V. Efimov, M. G. Krein, I. V. Ostrovskii, “Boris Yakovlevich Levin (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 23:5(143) (1968), 187–191 ; Russian Math. Surveys, 23:5 (1968), 141–145 |
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1967 |
85. |
M. G. Krein, “First Voronezh Winter Mathematical School”, Uspekhi Mat. Nauk, 22:4(136) (1967), 189–190 |
1
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1966 |
86. |
I. S. Iokhvidov, M. G. Kreĭn, “Letter to the editor”, Tr. Mosk. Mat. Obs., 15 (1966), 452–454 |
|
1965 |
87. |
M. A. Aizerman, M. G. Krein, L. A. Lyusternik, M. A. Naimark, L. S. Pontryagin, S. L. Sobolev, S. A. Khristianovich, Ya. B. Shor, “Feliks Ruvimovich Gantmakher (obituary)”, Uspekhi Mat. Nauk, 20:2(122) (1965), 149–157 ; Russian Math. Surveys, 20:2 (1965), 143–151 |
2
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88. |
M. G. Krein, “Vitol'd L'vovich Shmul'yan (on the fiftieth anniversary of his birth and the twentieth anniversary of his death)”, Uspekhi Mat. Nauk, 20:2(122) (1965), 131–133 ; Russian Math. Surveys, 20:2 (1965), 127–129 |
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1961 |
89. |
M. G. Krein, B. Ya. Levin, “Naum Il'ich Akhiezer (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 16:4(100) (1961), 223–234 ; Russian Math. Surveys, 16:4 (1961), 129–141 |
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1960 |
90. |
M. G. Krein, G. E. Shilov, “Mark Aronovich Naimark (on the occasion of his fiftieth birthday)”, Uspekhi Mat. Nauk, 15:2(92) (1960), 231–236 ; Russian Math. Surveys, 15:2 (1960), 169–174 |
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1958 |
91. |
I. Ts. Gokhberg, M. G. Krein, “Errata”, Uspekhi Mat. Nauk, 13:4(82) (1958), 232 |
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1957 |
92. |
I. S. Iokhvidov, M. G. Krein, “Remark to the article “Spectral theory of operators in space with indefinite metric. I” (Trudy Mosk. Mat. O-va 5 (1956))”, Tr. Mosk. Mat. Obs., 6 (1957), 486 |
1
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1948 |
93. |
M. G. Krein, M. A. Rutman, “Linear operators leaving invariant a cone in a Banach space”, Uspekhi Mat. Nauk, 3:1(23) (1948), 3–95 |
56
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