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Naimark Mark Aronovich

Publications in Math-Net.Ru

  1. 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
  2. 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
  3. The direct integral of pairs of dual spaces

    Izv. Akad. Nauk SSSR Ser. Mat., 40:2 (1976),  355–365
  4. 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
  5. On homogeneous representations of a locally compact group in a pair of dual spaces

    Dokl. Akad. Nauk SSSR, 220:1 (1975),  38–40
  6. Homogeneous representations of a locally compact group that act in a pair of dual spaces

    Trudy Mat. Inst. Steklov., 134 (1975),  219–234
  7. On the direct integral of pairs of dual spaces

    Dokl. Akad. Nauk SSSR, 217:4 (1974),  762–765
  8. Nonselfadjoint operator algebras in Hilbert space

    Itogi Nauki i Tekhn. Ser. Mat. Anal., 12 (1974),  413–465
  9. Criteria of irreducibility and discrete decomposability of a homogeneous representation of a locally compact group

    Dokl. Akad. Nauk SSSR, 205:5 (1972),  1040–1042
  10. On homogeneous and quasi-homogeneous representations of a locally compact group

    Dokl. Akad. Nauk SSSR, 205:4 (1972),  783–786
  11. Homogeneous and quasi-homogeneous representations of a locally compact group

    Izv. Akad. Nauk SSSR Ser. Mat., 36:5 (1972),  1020–1048
  12. Description of the completely irreducible representations of a complex semisimple Lie group

    Izv. Akad. Nauk SSSR Ser. Mat., 34:1 (1970),  57–82
  13. Representations of groups and algebras in spaces with indefinite metric

    Itogi Nauki. Ser. Matematika. Mat. Anal. 1968, 1969,  73–105
  14. Description of completely irreducible representations of a semi-simple complex Lie group

    Dokl. Akad. Nauk SSSR, 171:1 (1966),  25–28
  15. Analog of Stone's theorem for a space with an indefinite metric

    Dokl. Akad. Nauk SSSR, 170:6 (1966),  1259–1261
  16. Representations of commutative symmetric Banach algebras and commutative topological groups in the space $\Pi_k$

    Dokl. Akad. Nauk SSSR, 170:2 (1966),  271–274
  17. Degenerate operator algebras in the Pontrjagin space $\Pi_{k}$

    Izv. Akad. Nauk SSSR Ser. Mat., 30:6 (1966),  1229–1256
  18. 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
  19. Conditions for the unitary equivalence of commutative symmetric algebras in the Pontrjagin space $\Pi_k$

    Tr. Mosk. Mat. Obs., 15 (1966),  383–399
  20. On commutative algebras of operators in the space $\Pi_k$

    Dokl. Akad. Nauk SSSR, 161:4 (1965),  767–770
  21. Conditions for unitary equivalence of commutative symmetric algebras in the space $\Pi_k$

    Dokl. Akad. Nauk SSSR, 160:6 (1965),  1257–1260
  22. Unitary representations of locally bicompact groups in the space $\Pi_1$

    Dokl. Akad. Nauk SSSR, 160:2 (1965),  281–283
  23. 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
  24. Commutative operator algebras in the space $\Pi_1$

    Dokl. Akad. Nauk SSSR, 156:4 (1964),  734–737
  25. Infinite-dimensional representations of groups and related questions

    Itogi Nauki. Ser. Mat. Anal. Teor. Ver. Regulir. 1962, 1964,  38–82
  26. Unitary representations of the Lorentz group in spaces with indefinite metric

    Mat. Sb. (N.S.), 65(107):2 (1964),  198–211
  27. Unitary representations of the Lorentz group in the space $\Pi_k$

    Dokl. Akad. Nauk SSSR, 152:5 (1963),  1064–1067
  28. Unitary permutation operators in the space $\Pi_\kappa$

    Dokl. Akad. Nauk SSSR, 149:6 (1963),  1261–1263
  29. On the structure of factor representations of a locally compact group

    Dokl. Akad. Nauk SSSR, 148:4 (1963),  775–778
  30. Unitary representations of solvable groups in spaces with indefinite metric

    Izv. Akad. Nauk SSSR Ser. Mat., 27:5 (1963),  1181–1185
  31. On isomorphic representations of rings and groups

    Dokl. Akad. Nauk SSSR, 137:2 (1961),  278–281
  32. 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
  33. Decomposition into factor representations of unitary representatons of locally compact groups

    Sibirsk. Mat. Zh., 2:1 (1961),  89–99
  34. Factor-representations of a locally compact group

    Dokl. Akad. Nauk SSSR, 134:2 (1960),  275–277
  35. 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
  36. 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
  37. 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
  38. 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
  39. 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
  40. 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
  41. On irreducible linear representations of the complete Lorentz group

    Dokl. Akad. Nauk SSSR, 112:4 (1957),  583–586
  42. 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
  43. Spectral analysis of non-self-adjoint operators

    Uspekhi Mat. Nauk, 11:6(72) (1956),  183–202
  44. Representation of groups

    Uspekhi Mat. Nauk, 11:6(72) (1956),  13–40
  45. Continuous direct sums of Hilbert spaces and some of their applications

    Uspekhi Mat. Nauk, 10:2(64) (1955),  111–142
  46. On the description of all unitary representations of the complex classical groups. II

    Mat. Sb. (N.S.), 37(79):1 (1955),  121–140
  47. 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
  48. Linear representations of the Lorentz group

    Uspekhi Mat. Nauk, 9:4(62) (1954),  19–93
  49. On the description of all unitary representations of the complex classical groups. I

    Mat. Sb. (N.S.), 35(77):2 (1954),  317–356
  50. Unitary representations of a unimodular group containing an identity representation of the unitary subgroup

    Tr. Mosk. Mat. Obs., 1 (1952),  423–475
  51. On a problem of the theory of rings with involution

    Uspekhi Mat. Nauk, 6:6(46) (1951),  160–164
  52. 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
  53. Unitary representations of the classical groups

    Trudy Mat. Inst. Steklov., 36 (1950),  3–288
  54. Rings of operators in Hilbert space

    Uspekhi Mat. Nauk, 4:4(32) (1949),  83–147
  55. Normed rings with involutions and their representations

    Izv. Akad. Nauk SSSR Ser. Mat., 12:5 (1948),  445–480
  56. Rings with involutions

    Uspekhi Mat. Nauk, 3:5(27) (1948),  52–145
  57. Unitary representations of the Lorentz group

    Izv. Akad. Nauk SSSR Ser. Mat., 11:5 (1947),  411–504
  58. Extremal spectral functions of a symmetric operator

    Izv. Akad. Nauk SSSR Ser. Mat., 11:4 (1947),  327–344
  59. Унитарные представления полупростых групп Ли. I

    Rec. Math. [Mat. Sbornik] N.S., 21(63):3 (1947),  405–434
  60. On spectral functions of a symmetric operator

    Izv. Akad. Nauk SSSR Ser. Mat., 7:6 (1943),  285–296
  61. Positive definite operator functions on a commutative group

    Izv. Akad. Nauk SSSR Ser. Mat., 7:5 (1943),  237–244
  62. 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
  63. Direkte Polynome von symmetrischen Operatoren und ihre selbst-adjungierte Fortsetzungen. I

    Rec. Math. [Mat. Sbornik] N.S., 9(51):3 (1941),  629–666
  64. Spectral functions of a symmetric operator

    Izv. Akad. Nauk SSSR Ser. Mat., 4:3 (1940),  277–318
  65. Self-adjoint extensions of the second kind of a symmetric operator

    Izv. Akad. Nauk SSSR Ser. Mat., 4:1 (1940),  53–104
  66. The deficiency-spaces of the direct product of symmetric operators. I

    Izv. Akad. Nauk SSSR Ser. Mat., 3:3 (1939),  265–278
  67. On the domain of a self-adjoint operator

    Izv. Akad. Nauk SSSR Ser. Mat., 3:2 (1939),  165–180
  68. On the direct product of closed operators

    Izv. Akad. Nauk SSSR Ser. Mat., 3:1 (1939),  53–86
  69. Über die Potenzreihen von Operatoren im Hilbertschen Raume

    Rec. Math. [Mat. Sbornik] N.S., 3(45):3 (1938),  473–482

  70. 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
  71. 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
  72. 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
  73. Feliks Ruvimovich Gantmakher (obituary)

    Uspekhi Mat. Nauk, 20:2(122) (1965),  149–157
  74. Abram Iezekilovich Plesner (on the sixtieth birthday anniversary)

    Uspekhi Mat. Nauk, 16:1(97) (1961),  213–218
  75. L. A. Lyusternik and V. I. Sobolev, The elements of functional analysis (review)

    Uspekhi Mat. Nauk, 7:6(52) (1952),  234–237
  76. 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

© Steklov Math. Inst. of RAS, 2024