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Lyubich Yurii Il'ich

Publications in Math-Net.Ru

  1. Family of Quaternion Norms with Isometry Group $\mathbb Z_2$ in General Position

    Mat. Zametki, 86:2 (2009),  310–313
  2. Quaternion Normed Space with Isometry Group $\mathbb{Z}_2$

    Funktsional. Anal. i Prilozhen., 42:3 (2008),  90–92
  3. Isometric embeddings of finite-dimensional $\ell_p$-spaces over the quaternions

    Algebra i Analiz, 16:1 (2004),  15–32
  4. Sturm–Liouville problem with a distributed condition

    Mat. Fiz. Anal. Geom., 10:3 (2003),  290–300
  5. Gauss type complex quadrature formulae, power moment problem and elliptic curves

    Mat. Fiz. Anal. Geom., 9:2 (2002),  128–145
  6. Два замечательных предела

    Mat. Pros., Ser. 3, 4 (2000),  145–153
  7. All ultranormal stochastic Bernstein mappings are regular

    Algebra i Analiz, 11:2 (1999),  109–141
  8. Almost Euclidean Planes in $\ell_p^n$

    Funktsional. Anal. i Prilozhen., 32:1 (1998),  76–78
  9. Ultranormal Case of the Bernstein Problem

    Funktsional. Anal. i Prilozhen., 31:1 (1997),  77–80
  10. On the spectral mapping theorem for a one-parameter group of operators

    Zap. Nauchn. Sem. LOMI, 178 (1989),  146–150
  11. Linear functional analysis

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 19 (1988),  5–305
  12. Toward a Mathematical Theory of Hypercycles

    Probl. Peredachi Inf., 24:1 (1988),  89–101
  13. On the dynamics of hypercycles

    Dokl. Akad. Nauk SSSR, 288:6 (1986),  1301–1304
  14. The boundary spectrum of nonnegative operators

    Sibirsk. Mat. Zh., 26:6 (1985),  24–28
  15. A remark on the stability of complex dynamical systems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 10,  49–50
  16. Convergence to Equilibrium in a Polylocus Polyallele Population with Additive Selection

    Probl. Peredachi Inf., 16:2 (1980),  92–102
  17. Selection-Induced Convergence to Equilibrium in a Single-Locus Autosomal Population

    Probl. Peredachi Inf., 16:1 (1980),  93–104
  18. Convergence to equilibrium under the action of additive selection in a multilocus multiallelic population

    Dokl. Akad. Nauk SSSR, 249:5 (1979),  1052–1055
  19. A topological approach to a problem in mathematical genetics

    Uspekhi Mat. Nauk, 34:6(210) (1979),  53–58
  20. 18.5. On uniqueness theorem for the mean periodic functions

    Zap. Nauchn. Sem. LOMI, 81 (1978),  166
  21. Estimates of Lipschitz constants for polynomial operators in a simplex

    Dokl. Akad. Nauk SSSR, 234:3 (1977),  528–531
  22. Proper Bernstein Populations

    Probl. Peredachi Inf., 13:3 (1977),  91–100
  23. Bernshtein algebras

    Uspekhi Mat. Nauk, 32:6(198) (1977),  261–262
  24. Nilpotency of commutative Engel algebras of dimension $n\leqslant 4$ over $R$

    Uspekhi Mat. Nauk, 32:1(193) (1977),  195–196
  25. Convergence to equilibrium under the action of selection in a single locus population

    Dokl. Akad. Nauk SSSR, 226:1 (1976),  58–60
  26. An estimate of the dimension of the set of fixed points of a certain class of quadratic operators

    Sibirsk. Mat. Zh., 17:4 (1976),  940–944
  27. The structure of Bernšteĭn populations of type $(2,n-2)$

    Uspekhi Mat. Nauk, 30:1(181) (1975),  247–248
  28. Duality of spectral subspaces and conditions for the separation of the spectrum of a bounded linear operator

    Dokl. Akad. Nauk SSSR, 216:4 (1974),  737–739
  29. An evolutionary equation and limit theorem for general genetic systems without selection

    Dokl. Akad. Nauk SSSR, 215:4 (1974),  776–779
  30. Two-level Bernsteinian populations

    Mat. Sb. (N.S.), 95(137):4(12) (1974),  606–628
  31. On the mathematical theory of heredity

    Dokl. Akad. Nauk SSSR, 209:5 (1973),  1028–1030
  32. On representations with a separable spectrum

    Funktsional. Anal. i Prilozhen., 7:2 (1973),  52–61
  33. An infinite-dimensional theorem analogous to Lie's weight theorem

    Funktsional. Anal. i Prilozhen., 7:1 (1973),  41–44
  34. Structure of Bernshtein populations of type $(n-1,1)$

    Uspekhi Mat. Nauk, 28:5(173) (1973),  247–248
  35. On a theorem of S. N. Bernstein

    Sibirsk. Mat. Zh., 14:3 (1973),  678–679
  36. On the separability of the spectrum of a representation of a locally compact abelian group

    Dokl. Akad. Nauk SSSR, 201:6 (1971),  1282–1284
  37. On the spectrum of a representation of an abelian topological group

    Dokl. Akad. Nauk SSSR, 200:4 (1971),  777–780
  38. Basic concepts and theorems of the evolutionary genetics of free populations

    Uspekhi Mat. Nauk, 26:5(161) (1971),  51–116
  39. The attraction zone of a saddle point in the process of steepest descent

    Dokl. Akad. Nauk SSSR, 191:2 (1970),  273–274
  40. The stability of relaxation processes

    Dokl. Akad. Nauk SSSR, 191:1 (1970),  22–24
  41. Quasianalyticity criterion for abstract operators

    Dokl. Akad. Nauk SSSR, 190:4 (1970),  772–774
  42. The general theory of relaxation processes for convex functionals

    Uspekhi Mat. Nauk, 25:1(151) (1970),  57–112
  43. The boundary spectrum on contractions in Minkowski spaces

    Sibirsk. Mat. Zh., 11:2 (1970),  358–369
  44. On a Floquet theory for equations with retarded argument

    Differ. Uravn., 5:4 (1969),  648–656
  45. Subharmonic functions on a directed graph

    Sibirsk. Mat. Zh., 10:3 (1969),  600–613
  46. A theorem of Marik and Pták

    Sibirsk. Mat. Zh., 10:2 (1969),  470–473
  47. The convergence of the process of steepest descent

    Dokl. Akad. Nauk SSSR, 179:5 (1968),  1054–1056
  48. Rates of convergence of coordinate relaxation for a quadratic functional

    Dokl. Akad. Nauk SSSR, 173:1 (1967),  37–39
  49. Conditionality in general computational problems

    Dokl. Akad. Nauk SSSR, 171:4 (1966),  791–793
  50. Investigating the deficiency of the abstract Cauchy problem

    Dokl. Akad. Nauk SSSR, 166:4 (1966),  783–786
  51. The classical and local Laplace transformation in an abstract Cauchy problem

    Uspekhi Mat. Nauk, 21:3(129) (1966),  3–51
  52. Theory and certain applications of the local Laplace transform

    Mat. Sb. (N.S.), 70(112):3 (1966),  416–437
  53. On the rate of convergence of a stationary gradient relaxation

    Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966),  356–360
  54. Uniqueness and approximation theorems for a local Laplace transformation

    Dokl. Akad. Nauk SSSR, 164:2 (1965),  273–276
  55. General theorems on quadratic relaxation

    Dokl. Akad. Nauk SSSR, 161:6 (1965),  1274–1277
  56. On a certain class of operators in Banach space

    Uspekhi Mat. Nauk, 20:6(126) (1965),  131–133
  57. Conservative operators

    Uspekhi Mat. Nauk, 20:5(125) (1965),  221–225
  58. Bounds for the weight of a regular event over a one-letter alphabet

    Sibirsk. Mat. Zh., 6:1 (1965),  122–126
  59. Density conditions on the initial manifold for the abstract Cauchy problem

    Dokl. Akad. Nauk SSSR, 155:2 (1964),  262–265
  60. Estimates of the number of states that arise in the determinization of a nondeterministic autonomous automaton

    Dokl. Akad. Nauk SSSR, 155:1 (1964),  41–43
  61. Solvability conditions for the abstract Cauchy problem

    Dokl. Akad. Nauk SSSR, 154:1 (1964),  41–44
  62. A remark on a problem of C. Berge

    Sibirsk. Mat. Zh., 5:4 (1964),  961–962
  63. Estimates for the optimal determination of indeterminate autonomous automata

    Sibirsk. Mat. Zh., 5:2 (1964),  337–355
  64. Operator norms of matrices

    Uspekhi Mat. Nauk, 18:4(112) (1963),  161–164
  65. Completeness conditions for a system of eigenvectors of a correct operator

    Uspekhi Mat. Nauk, 18:1(109) (1963),  165–171
  66. A remark on the conductiong capacity of a discrete noiseless channel

    Uspekhi Mat. Nauk, 17:1(103) (1962),  191–198
  67. On the existence “in the large” of fundamental solutions of linear second-order elliptic equations

    Mat. Sb. (N.S.), 57(99):1 (1962),  45–58
  68. Operators with separable spectrum

    Mat. Sb. (N.S.), 56(98):4 (1962),  433–468
  69. On the theorem of uniqueness of the solution of the abstract Cauchy problem

    Uspekhi Mat. Nauk, 16:5(101) (1961),  181–182
  70. Almost periodic functions in the spectral analysis of operators

    Dokl. Akad. Nauk SSSR, 132:3 (1960),  518–520
  71. On the spectral theory of linear operators in Banach spaces

    Dokl. Akad. Nauk SSSR, 131:1 (1960),  21–23
  72. Conditions for the uniqueness of the solution to Cauchy's abstract problem

    Dokl. Akad. Nauk SSSR, 130:5 (1960),  969–972
  73. On inequalities between powers of a linear operator

    Izv. Akad. Nauk SSSR Ser. Mat., 24:6 (1960),  825–864
  74. On the eigenfunctions and associated functions of a differentiation operator

    Izv. Vyssh. Uchebn. Zaved. Mat., 1959, no. 4,  94–103
  75. Some Tauberian theorems for generalized Fourier transformations

    Dokl. Akad. Nauk SSSR, 113:1 (1957),  32–35
  76. Existence of fundamental solution of equations of elliptic type

    Uspekhi Mat. Nauk, 12:1(73) (1957),  218
  77. On the fundamental solutions of linear partial differential equations of elliptic type

    Mat. Sb. (N.S.), 39(81):1 (1956),  23–36
  78. On a class of integral equations

    Mat. Sb. (N.S.), 38(80):2 (1956),  183–202

  79. Mikhail Iosifovich Kadets (obituary)

    Uspekhi Mat. Nauk, 66:4(400) (2011),  179–180
  80. Samuil Davidovich Berman (obituary)

    Uspekhi Mat. Nauk, 43:1(259) (1988),  183–184
  81. Naum Il'ich Akhiezer (obituary)

    Uspekhi Mat. Nauk, 36:4(220) (1981),  183–184
  82. Letter to the Editor

    Uspekhi Mat. Nauk, 27:6(168) (1972),  265
  83. Izrail' Markovich Glazman (obituary)

    Uspekhi Mat. Nauk, 24:5(149) (1969),  215–219
  84. Letter to the Editor

    Mat. Sb. (N.S.), 71(113):2 (1966),  287–288
  85. To the Editor of UMN

    Uspekhi Mat. Nauk, 17:2(104) (1962),  270

© Steklov Math. Inst. of RAS, 2024