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Naimark, Mark Aronovich
(1909–1978)

Statistics Math-Net.Ru
Total publications: 76
Scientific articles: 69

Number of views:
This page:3340
Abstract pages:28422
Full texts:16464
References:128
Professor
Doctor of physico-mathematical sciences (1941)
Birth date: 5.12.1909

http://www.mathnet.ru/eng/person25509
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/129140

Publications in Math-Net.Ru
1977
1. M. A. Naimark, “On a condition for the decomposability of a homogeneous representation of a locally compact group into a direct Radon integral of its irreducible representations. I. The case of cyclic representation”, Dokl. Akad. Nauk SSSR, 233:3 (1977),  297–299  mathnet  mathscinet  zmath
1976
2. M. A. Naimark, “A criterion for the decomposability of a homogeneous representation of a locally compact group into a direct integral of its irreducible representations”, Izv. Akad. Nauk SSSR Ser. Mat., 40:3 (1976),  544–561  mathnet  mathscinet  zmath; Math. USSR-Izv., 10:3 (1976), 515–533
3. M. A. Naimark, “The direct integral of pairs of dual spaces”, Izv. Akad. Nauk SSSR Ser. Mat., 40:2 (1976),  355–365  mathnet  mathscinet  zmath; Math. USSR-Izv., 10:2 (1976), 339–349
1975
4. M. A. Naimark, “On a decomposability criterion for a homogeneous representation of a locally compact group into the direct integral of its irreducible representations”, Dokl. Akad. Nauk SSSR, 223:3 (1975),  566–568  mathnet  mathscinet  zmath
5. M. A. Naimark, “On homogeneous representations of a locally compact group in a pair of dual spaces”, Dokl. Akad. Nauk SSSR, 220:1 (1975),  38–40  mathnet  mathscinet  zmath
6. M. A. Naimark, “Homogeneous representations of a locally compact group that act in a pair of dual spaces”, Trudy Mat. Inst. Steklov., 134 (1975),  219–234  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 134 (1977), 247–266
1974
7. M. A. Naimark, “On the direct integral of pairs of dual spaces”, Dokl. Akad. Nauk SSSR, 217:4 (1974),  762–765  mathnet  mathscinet  zmath
8. M. A. Naimark, A. I. Loginov, V. S. Shulman, “Nonselfadjoint operator algebras in Hilbert space”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 12 (1974),  413–465  mathnet  mathscinet  zmath; J. Soviet Math., 5:2 (1976), 250–278
1972
9. M. A. Naimark, “Criteria of irreducibility and discrete decomposability of a homogeneous representation of a locally compact group”, Dokl. Akad. Nauk SSSR, 205:5 (1972),  1040–1042  mathnet  mathscinet  zmath
10. M. A. Naimark, “On homogeneous and quasi-homogeneous representations of a locally compact group”, Dokl. Akad. Nauk SSSR, 205:4 (1972),  783–786  mathnet  mathscinet  zmath
11. M. A. Naimark, “Homogeneous and quasi-homogeneous representations of a locally compact group”, Izv. Akad. Nauk SSSR Ser. Mat., 36:5 (1972),  1020–1048  mathnet  mathscinet  zmath; Math. USSR-Izv., 6:5 (1972), 1009–1036
1970
12. D. P. Zhelobenko, M. A. Naimark, “Description of the completely irreducible representations of a complex semisimple Lie group”, Izv. Akad. Nauk SSSR Ser. Mat., 34:1 (1970),  57–82  mathnet  mathscinet  zmath; Math. USSR-Izv., 4:1 (1970), 59–83
1969
13. M. A. Naimark, R. S. Ismagilov, “Representations of groups and algebras in spaces with indefinite metric”, Itogi Nauki. Ser. Matematika. Mat. Anal. 1968, 1969,  73–105  mathnet  mathscinet  zmath; Progr. Math., 10 (1971), 73–109
1966
14. D. P. Zhelobenko, M. A. Naimark, “Description of completely irreducible representations of a semi-simple complex Lie group”, Dokl. Akad. Nauk SSSR, 171:1 (1966),  25–28  mathnet  mathscinet  zmath
15. M. A. Naimark, “Analog of Stone's theorem for a space with an indefinite metric”, Dokl. Akad. Nauk SSSR, 170:6 (1966),  1259–1261  mathnet  mathscinet  zmath
16. M. A. Naimark, “Representations of commutative symmetric Banach algebras and commutative topological groups in the space $\Pi_k$”, Dokl. Akad. Nauk SSSR, 170:2 (1966),  271–274  mathnet  mathscinet  zmath
17. M. A. Naimark, “Degenerate operator algebras in the Pontrjagin space $\Pi_{k}$”, Izv. Akad. Nauk SSSR Ser. Mat., 30:6 (1966),  1229–1256  mathnet  mathscinet  zmath
18. M. A. Naimark, “Structure of unitary representations of locally bicompact groups and symmetric representations of algebras in the Pontrjagin spaces $\Pi_{k}$”, Izv. Akad. Nauk SSSR Ser. Mat., 30:5 (1966),  1111–1132  mathnet  mathscinet  zmath
19. M. A. Naĭmark, “Conditions for the unitary equivalence of commutative symmetric algebras in the Pontrjagin space $\Pi_k$”, Tr. Mosk. Mat. Obs., 15 (1966),  383–399  mathnet  mathscinet  zmath
1965
20. M. A. Naimark, “On commutative algebras of operators in the space $\Pi_k$”, Dokl. Akad. Nauk SSSR, 161:4 (1965),  767–770  mathnet  mathscinet  zmath
21. M. A. Naimark, “Conditions for unitary equivalence of commutative symmetric algebras in the space $\Pi_k$”, Dokl. Akad. Nauk SSSR, 160:6 (1965),  1257–1260  mathnet  mathscinet  zmath
22. M. A. Naimark, “Unitary representations of locally bicompact groups in the space $\Pi_1$”, Dokl. Akad. Nauk SSSR, 160:2 (1965),  281–283  mathnet  mathscinet  zmath
23. M. A. Naimark, “On the structure of the unitary representations of locally compact groups in the space $\Pi_1$”, Izv. Akad. Nauk SSSR Ser. Mat., 29:3 (1965),  689–700  mathnet  mathscinet  zmath
1964
24. M. A. Naimark, “Commutative operator algebras in the space $\Pi_1$”, Dokl. Akad. Nauk SSSR, 156:4 (1964),  734–737  mathnet  mathscinet  zmath
25. M. A. Naimark, “Infinite-dimensional representations of groups and related questions”, Itogi Nauki. Ser. Mat. Anal. Teor. Ver. Regulir. 1962, 1964,  38–82  mathnet  mathscinet  zmath
26. M. A. Naimark, “Unitary representations of the Lorentz group in spaces with indefinite metric”, Mat. Sb. (N.S.), 65(107):2 (1964),  198–211  mathnet  mathscinet  zmath
1963
27. M. A. Naimark, “Unitary representations of the Lorentz group in the space $\Pi_k$”, Dokl. Akad. Nauk SSSR, 152:5 (1963),  1064–1067  mathnet  mathscinet  zmath
28. M. A. Naimark, “Unitary permutation operators in the space $\Pi_\kappa$”, Dokl. Akad. Nauk SSSR, 149:6 (1963),  1261–1263  mathnet  mathscinet  zmath
29. M. A. Naimark, “On the structure of factor representations of a locally compact group”, Dokl. Akad. Nauk SSSR, 148:4 (1963),  775–778  mathnet  mathscinet  zmath
30. M. A. Naimark, “Unitary representations of solvable groups in spaces with indefinite metric”, Izv. Akad. Nauk SSSR Ser. Mat., 27:5 (1963),  1181–1185  mathnet  mathscinet  zmath
1961
31. M. A. Naimark, “On isomorphic representations of rings and groups”, Dokl. Akad. Nauk SSSR, 137:2 (1961),  278–281  mathnet  mathscinet  zmath
32. M. A. Naimark, “Decomposition of a tensor product of irreducible representations of the proper Lorentz group into irreducible representations. III. The case of a tensor product of representations of the supplementary series”, Tr. Mosk. Mat. Obs., 10 (1961),  181–216  mathnet  mathscinet  zmath
33. M. A. Naimark, “Decomposition into factor representations of unitary representatons of locally compact groups”, Sibirsk. Mat. Zh., 2:1 (1961),  89–99  mathnet  mathscinet
1960
34. M. A. Naimark, “Factor-representations of a locally compact group”, Dokl. Akad. Nauk SSSR, 134:2 (1960),  275–277  mathnet  mathscinet  zmath
35. M. A. Naimark, “On the tensor product of the representations of the supplementary series of the Lorentz characteristic group”, Dokl. Akad. Nauk SSSR, 132:5 (1960),  1027–1030  mathnet  mathscinet  zmath
36. M. A. Naimark, “On the decomposition into irreducible representations of the tensor product of two representations of the supplementary series of the proper Lorentz group”, Dokl. Akad. Nauk SSSR, 130:2 (1960),  261–264  mathnet  mathscinet  zmath
37. M. A. Naimark, “Decomposition of a tensor product of irreducible representations of the proper Lorentz group into irreducible representations. II. The case of a tensor product of representations of the fundamental and complementary series”, Tr. Mosk. Mat. Obs., 9 (1960),  237–282  mathnet  mathscinet  zmath
1959
38. M. A. Naimark, “Decomposition of a tensor product of irreducible representations of the proper Lorentz group into irreducible representations. I. The case of a tensor product of representations of the fundamental series”, Tr. Mosk. Mat. Obs., 8 (1959),  121–153  mathnet  mathscinet  zmath
1958
39. M. A. Naimark, “On the resolution of irreducible representations of the principal of a complex unimodular group of order $n$ into representations of a second order complex unimodular group”, Dokl. Akad. Nauk SSSR, 121:4 (1958),  590–593  mathnet  mathscinet  zmath
40. M. A. Naimark, “On the expansion of the tensor product of the proper Lorenz group principal series representations into irreducible representations”, Dokl. Akad. Nauk SSSR, 119:5 (1958),  872–875  mathnet  mathscinet  zmath
1957
41. M. A. Neumark, “On irreducible linear representations of the complete Lorentz group”, Dokl. Akad. Nauk SSSR, 112:4 (1957),  583–586  mathnet  mathscinet  zmath
1956
42. M. A. Naimark, “Continuous analogue of Schur's lemma and its application to Plancherel's formula for the complex classical groups”, Izv. Akad. Nauk SSSR Ser. Mat., 20:1 (1956),  3–16  mathnet  mathscinet  zmath
43. M. A. Naimark, “Spectral analysis of non-self-adjoint operators”, Uspekhi Mat. Nauk, 11:6(72) (1956),  183–202  mathnet  mathscinet  zmath
44. F. A. Berezin, I. M. Gel'fand, M. I. Graev, M. A. Naimark, “Representation of groups”, Uspekhi Mat. Nauk, 11:6(72) (1956),  13–40  mathnet  mathscinet  zmath
1955
45. M. A. Naimark, S. V. Fomin, “Continuous direct sums of Hilbert spaces and some of their applications”, Uspekhi Mat. Nauk, 10:2(64) (1955),  111–142  mathnet  mathscinet  zmath
46. M. A. Naimark, “On the description of all unitary representations of the complex classical groups. II”, Mat. Sb. (N.S.), 37(79):1 (1955),  121–140  mathnet  mathscinet  zmath
1954
47. M. A. Naimark, “Investigation of the spectrum and the expansion in eigenfunctions of a nonselfadjoint operator of the second order on a semi-axis”, Tr. Mosk. Mat. Obs., 3 (1954),  181–270  mathnet  mathscinet  zmath
48. M. A. Naimark, “Linear representations of the Lorentz group”, Uspekhi Mat. Nauk, 9:4(62) (1954),  19–93  mathnet  mathscinet  zmath
49. M. A. Naimark, “On the description of all unitary representations of the complex classical groups. I”, Mat. Sb. (N.S.), 35(77):2 (1954),  317–356  mathnet  mathscinet  zmath
1952
50. I. M. Gel'fand, M. A. Naimark, “Unitary representations of a unimodular group containing an identity representation of the unitary subgroup”, Tr. Mosk. Mat. Obs., 1 (1952),  423–475  mathnet  mathscinet  zmath
1951
51. M. A. Naimark, “On a problem of the theory of rings with involution”, Uspekhi Mat. Nauk, 6:6(46) (1951),  160–164  mathnet  mathscinet  zmath
1950
52. I. M. Gel'fand, M. A. Naimark, “The relation between the unitary representations of the complex unimodular group and its unitary subgroup”, Izv. Akad. Nauk SSSR Ser. Mat., 14:3 (1950),  239–260  mathnet  mathscinet  zmath
53. I. M. Gel'fand, M. A. Naimark, “Unitary representations of the classical groups”, Trudy Mat. Inst. Steklov., 36 (1950),  3–288  mathnet  mathscinet  zmath
1949
54. M. A. Naimark, “Rings of operators in Hilbert space”, Uspekhi Mat. Nauk, 4:4(32) (1949),  83–147  mathnet  mathscinet  zmath
1948
55. I. M. Gel'fand, M. A. Naimark, “Normed rings with involutions and their representations”, Izv. Akad. Nauk SSSR Ser. Mat., 12:5 (1948),  445–480  mathnet  mathscinet  zmath
56. M. A. Naimark, “Rings with involutions”, Uspekhi Mat. Nauk, 3:5(27) (1948),  52–145  mathnet  mathscinet  zmath
1947
57. I. M. Gel'fand, M. A. Naimark, “Unitary representations of the Lorentz group”, Izv. Akad. Nauk SSSR Ser. Mat., 11:5 (1947),  411–504  mathnet  mathscinet  zmath
58. M. A. Neumark, “Extremal spectral functions of a symmetric operator”, Izv. Akad. Nauk SSSR Ser. Mat., 11:4 (1947),  327–344  mathnet  mathscinet  zmath
59. I. M. Gel'fand, M. A. Naimark, “Унитарные представления полупростых групп Ли. I”, Rec. Math. [Mat. Sbornik] N.S., 21(63):3 (1947),  405–434  mathnet  mathscinet  zmath
1943
60. M. A. Neumark, “On spectral functions of a symmetric operator”, Izv. Akad. Nauk SSSR Ser. Mat., 7:6 (1943),  285–296  mathnet  mathscinet  zmath
61. M. Neumark, “Positive definite operator functions on a commutative group”, Izv. Akad. Nauk SSSR Ser. Mat., 7:5 (1943),  237–244  mathnet  mathscinet  zmath
62. I. Gelfand, M. Neumark, “On the imbedding of normed rings into the ring of operators in Hilbert space”, Rec. Math. [Mat. Sbornik] N.S., 12(54):2 (1943),  197–217  mathnet  mathscinet  zmath
1941
63. M. Neumark, “Direkte Polynome von symmetrischen Operatoren und ihre selbst-adjungierte Fortsetzungen. I”, Rec. Math. [Mat. Sbornik] N.S., 9(51):3 (1941),  629–666  mathnet  mathscinet  zmath
1940
64. M. Neumark, “Spectral functions of a symmetric operator”, Izv. Akad. Nauk SSSR Ser. Mat., 4:3 (1940),  277–318  mathnet  mathscinet  zmath
65. M. Neumark, “Self-adjoint extensions of the second kind of a symmetric operator”, Izv. Akad. Nauk SSSR Ser. Mat., 4:1 (1940),  53–104  mathnet  mathscinet  zmath
1939
66. M. Neumark, “The deficiency-spaces of the direct product of symmetric operators. I”, Izv. Akad. Nauk SSSR Ser. Mat., 3:3 (1939),  265–278  mathnet  zmath
67. M. Neumark, “On the domain of a self-adjoint operator”, Izv. Akad. Nauk SSSR Ser. Mat., 3:2 (1939),  165–180  mathnet  zmath
68. M. Neumark, “On the direct product of closed operators”, Izv. Akad. Nauk SSSR Ser. Mat., 3:1 (1939),  53–86  mathnet  zmath
1938
69. M. Neumark, “Über die Potenzreihen von Operatoren im Hilbertschen Raume”, Rec. Math. [Mat. Sbornik] N.S., 3(45):3 (1938),  473–482  mathnet  zmath

1967
70. M. A. Naimark, “Поправки к статье “Аналог теоремы Стоуна в пространстве с индефинитной метрикой” (ДАН, т. 170, № 6, 1966 г.)”, Dokl. Akad. Nauk SSSR, 174:3 (1967),  7  mathnet
1965
71. M. A. Naimark, “Поправки к статье “О коммутативных алгебрах операторов в пространстве $\Pi_k$” (ДАН, т. 101, № 4, 1965 г.)”, Dokl. Akad. Nauk SSSR, 165:2 (1965),  254  mathnet
72. M. A. Naimark, “Поправки к статье “О коммутативных алгебрах операторов в пространстве $\Pi_1$” (ДАН, т. 156, № 4, 1964 г.)”, Dokl. Akad. Nauk SSSR, 165:2 (1965),  254  mathnet
73. 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  mathnet  mathscinet  zmath; Russian Math. Surveys, 20:2 (1965), 143–151
1961
74. L. A. Lyusternik, D. E. Men'shov, M. A. Naimark, P. L. Ul'yanov, “Abram Iezekilovich Plesner (on the sixtieth birthday anniversary)”, Uspekhi Mat. Nauk, 16:1(97) (1961),  213–218  mathnet  mathscinet  zmath
1952
75. M. A. Naimark, “L. A. Lyusternik and V. I. Sobolev, The elements of functional analysis (review)”, Uspekhi Mat. Nauk, 7:6(52) (1952),  234–237  mathnet  mathscinet
1951
76. M. A. Naimark, “F. R. Gantmakher, M. G. Krein, Oscillation matrices and kernels and small oscillations of mechanical systems (review)”, Uspekhi Mat. Nauk, 6:5(45) (1951),  208–210  mathnet  mathscinet
 
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