RUS  ENG
Full version
PEOPLE

Krein Mark Grigor'evich

Publications in Math-Net.Ru

  1. 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. Problem of search of the minimum of entropy in indeterminate extension problems

    Funktsional. Anal. i Prilozhen., 15:2 (1981),  61–64
  3. On direct and inverse problems for the boundary dissipation frequencies of a nonuniform string

    Dokl. Akad. Nauk SSSR, 247:5 (1979),  1046–1049
  4. 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
  5. Inverse problems for Q-functions and resolvent matrices of positive hermitian operators

    Dokl. Akad. Nauk SSSR, 242:3 (1978),  521–524
  6. Measurable Hermitian-positive functions

    Mat. Zametki, 23:1 (1978),  79–91
  7. 7.6. The approximation by functions in $H^\infty+C$

    Zap. Nauchn. Sem. LOMI, 81 (1978),  190–192
  8. On factorization of matrix-valued functions on the unit circle

    Dokl. Akad. Nauk SSSR, 234:2 (1977),  287–290
  9. 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
  10. $Q$-functions and $SC$-resolvents of nondensely defined Hermitian contractions

    Sibirsk. Mat. Zh., 18:5 (1977),  1032–1056
  11. On generalized resolvents and resolvent matrices of positive Hermitian operators

    Dokl. Akad. Nauk SSSR, 231:5 (1976),  1063–1066
  12. On the indefinite power moment problem

    Dokl. Akad. Nauk SSSR, 226:2 (1976),  261–264
  13. 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
  14. 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
  15. A hypothesis of A. M. Lyapunov

    Funktsional. Anal. i Prilozhen., 7:3 (1973),  45–54
  16. Defective subspaces and generalized resolvents of an Hermitian operator in the space $\Pi_\varkappa$

    Funktsional. Anal. i Prilozhen., 5:3 (1971),  54–69
  17. Defect subspaces and generalized resolvents of an Hermitian operator in the space $\Pi_\varkappa$

    Funktsional. Anal. i Prilozhen., 5:2 (1971),  59–71
  18. 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
  19. Some applications of the theorem on factorization of a unitary matrix

    Funktsional. Anal. i Prilozhen., 4:4 (1970),  73–75
  20. Resolvent matrix of Hermitian operator and the characteristic functions related to it

    Funktsional. Anal. i Prilozhen., 4:3 (1970),  103–104
  21. Determination and fundamental properties of the characteristic function of $\mathcal{Y}$-node

    Funktsional. Anal. i Prilozhen., 4:1 (1970),  88–90
  22. General theorems on triangular representations of linear operators and multiplications of their characteristic functions

    Funktsional. Anal. i Prilozhen., 3:4 (1969),  1–27
  23. 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
  24. Angular localization of the spectrum of a multiplicative integral in a Hilbert space

    Funktsional. Anal. i Prilozhen., 3:1 (1969),  89–90
  25. Infinite Hankel matrices and generalized Caretheodory–Fejer and I. Schur Problems

    Funktsional. Anal. i Prilozhen., 2:4 (1968),  1–17
  26. Infinite hankel matrices and generalized Carathéodory–Fejer and Riesz problems

    Funktsional. Anal. i Prilozhen., 2:1 (1968),  1–19
  27. Triangular representations of linear operators and multiplicative representations of their characteristic functions

    Dokl. Akad. Nauk SSSR, 175:2 (1967),  272–275
  28. Description of contraction operators which are similar to unitary operators

    Funktsional. Anal. i Prilozhen., 1:1 (1967),  38–60
  29. A class of operators in a space with an indefinite metric

    Dokl. Akad. Nauk SSSR, 170:1 (1966),  34–37
  30. Certain new results in the theory of resolvents of Hermitian operators

    Dokl. Akad. Nauk SSSR, 169:6 (1966),  1269–1272
  31. Multiplicative representation of the characteristic functions of operators close to unitary

    Dokl. Akad. Nauk SSSR, 164:4 (1965),  732–735
  32. On the theory of quadratic pencils of self-adjoint operators

    Dokl. Akad. Nauk SSSR, 154:6 (1964),  1258–1261
  33. 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
  34. On the spectral function of a self-adjoint operator in a space with indefinite metric

    Dokl. Akad. Nauk SSSR, 152:1 (1963),  39–42
  35. On the problem of factoring operators in a Hilbert space

    Dokl. Akad. Nauk SSSR, 147:2 (1962),  279–282
  36. On the theory of wave operators and scattering operators

    Dokl. Akad. Nauk SSSR, 144:3 (1962),  475–478
  37. On perturbation determinants and a trace formula for unitary and self-adjoint operators

    Dokl. Akad. Nauk SSSR, 144:2 (1962),  268–271
  38. Analytic properties of the multipliers of periodic canonical differential systems of positive type

    Izv. Akad. Nauk SSSR Ser. Mat., 26:4 (1962),  549–572
  39. Volterra operators with imaginary component in one class or another

    Dokl. Akad. Nauk SSSR, 139:4 (1961),  779–782
  40. On the theory of triangular representations of nonselfadjoint operators

    Dokl. Akad. Nauk SSSR, 137:5 (1961),  1034–1037
  41. A contribution to the theory of linear non-selfadjoined operators

    Dokl. Akad. Nauk SSSR, 130:2 (1960),  254–256
  42. Spectral theory of operators in spaces with indefinite metric. II

    Tr. Mosk. Mat. Obs., 8 (1959),  413–496
  43. Criteria for completeness of a system of root vectors of a dissipative operator

    Uspekhi Mat. Nauk, 14:3(87) (1959),  145–152
  44. On the stable system of partial indices in the Hilbert problem for many unknown functions

    Dokl. Akad. Nauk SSSR, 119:5 (1958),  854–857
  45. Criteria for the discreteness of the spectrum of a singular string

    Izv. Vyssh. Uchebn. Zaved. Mat., 1958, no. 2,  136–153
  46. 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
  47. 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
  48. On a continuous analogue of a Christoffel formula from the theory of orthogonal polynomials

    Dokl. Akad. Nauk SSSR, 113:5 (1957),  970–973
  49. On Bari bases of a Hilbert space

    Uspekhi Mat. Nauk, 12:3(75) (1957),  333–341
  50. Fundamental aspects of defect numbers, root numbers and indexes of linear operators

    Uspekhi Mat. Nauk, 12:2(74) (1957),  43–118
  51. Spectral theory of operators in space with indefinite metric. I

    Tr. Mosk. Mat. Obs., 5 (1956),  367–432
  52. Development in a new direction of the Chebyshev–Markov theory of limiting values of integrals

    Uspekhi Mat. Nauk, 10:1(63) (1955),  67–78
  53. On the trace formula in perturbation theory

    Mat. Sb. (N.S.), 33(75):3 (1953),  597–626
  54. 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
  55. Stability of the index of an unbounded operator

    Mat. Sb. (N.S.), 30(72):1 (1952),  219–224
  56. 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
  57. On the application of an algebraic proposition in the theory of matrices of monodromy

    Uspekhi Mat. Nauk, 6:1(41) (1951),  171–177
  58. 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
  59. Remark on a possible generalization of the theorems of A. Haar and A. N. Kolmogorov

    Uspekhi Mat. Nauk, 5:1(35) (1950),  217–229
  60. On some questions related to the ideas of Lyapunov in the theory of stability

    Uspekhi Mat. Nauk, 3:3(25) (1948),  166–169
  61. A contribution to the theory of entire functions of exponential type

    Izv. Akad. Nauk SSSR Ser. Mat., 11:4 (1947),  309–326
  62. 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
  63. 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
  64. 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
  65. Sur un théorème de M. Vygodsky

    Rec. Math. [Mat. Sbornik] N.S., 18(60):3 (1946),  447–450
  66. 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
  67. Sur les opérateurs différentials autoadjoints et leurs fonctions de Green symétriques

    Rec. Math. [Mat. Sbornik] N.S., 2(44):6 (1937),  1023–1072
  68. 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. Sur les valeurs caractéristiques des noyaux symétriques dérivables

    Rec. Math. [Mat. Sbornik] N.S., 2(44):4 (1937),  725–732
  70. Sur une classe spéciale de déterminants ayant le rapport aux noyaux de Kellog

    Mat. Sb., 42:4 (1935),  501–508
  71. Über die Knoten der harmonischen Schwingungen einiger spezieller mechanischer Systeme

    Mat. Sb., 41:2 (1934),  339–348
  72. 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. Über das Spektrum der Jakobischen Form in Verbindung mit der Theorie der Torsionsschwingungen von Walzen

    Mat. Sb., 40:4 (1933),  455–466
  74. Zur Theorie der symmetrischen Polynome

    Mat. Sb., 40:3 (1933),  271–283

  75. Yurii L'vovich Daletskii (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 42:4(256) (1987),  213–214
  76. Boris Yakovlevich Levin (on his eightieth birthday)

    Uspekhi Mat. Nauk, 42:4(256) (1987),  207–210
  77. Iosif Semenovich Iokhvidov (obituary)

    Uspekhi Mat. Nauk, 40:6(246) (1985),  131–132
  78. Boris Moiseevich Levitan (on his seventieth birthday)

    Uspekhi Mat. Nauk, 40:2(242) (1985),  209–210
  79. Feliks Aleksandrovich Berezin (obituary)

    Uspekhi Mat. Nauk, 36:4(220) (1981),  185–190
  80. Naum Il'ich Akhiezer (obituary)

    Uspekhi Mat. Nauk, 36:4(220) (1981),  183–184
  81. Mark Aronovich Naimark (obituary)

    Uspekhi Mat. Nauk, 35:4(214) (1980),  135–140
  82. Boris Yakovlevich Levin (on his seventieth birthday)

    Uspekhi Mat. Nauk, 32:5(197) (1977),  211–213
  83. Naum Il'ich Akhiezer (on his seventieth birthday)

    Uspekhi Mat. Nauk, 26:6(162) (1971),  257–261
  84. Boris Yakovlevich Levin (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 23:5(143) (1968),  187–191
  85. First Voronezh Winter Mathematical School

    Uspekhi Mat. Nauk, 22:4(136) (1967),  189–190
  86. Letter to the editor

    Tr. Mosk. Mat. Obs., 15 (1966),  452–454
  87. Feliks Ruvimovich Gantmakher (obituary)

    Uspekhi Mat. Nauk, 20:2(122) (1965),  149–157
  88. 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
  89. Naum Il'ich Akhiezer (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 16:4(100) (1961),  223–234
  90. Mark Aronovich Naimark (on the occasion of his fiftieth birthday)

    Uspekhi Mat. Nauk, 15:2(92) (1960),  231–236
  91. Errata

    Uspekhi Mat. Nauk, 13:4(82) (1958),  232
  92. 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
  93. Linear operators leaving invariant a cone in a Banach space

    Uspekhi Mat. Nauk, 3:1(23) (1948),  3–95

© Steklov Math. Inst. of RAS, 2024