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Lyubich, Yurii Il'ich
Statistics Math-Net.Ru
Total publications: 85
Scientific articles: 78

Number of views:
This page:4402
Abstract pages:23770
Full texts:14564
References:742
Professor
Doctor of physico-mathematical sciences (1963)
Birth date: 1931
E-mail:

https://www.mathnet.ru/eng/person21744
List of publications on Google Scholar
https://zbmath.org/authors/ai:lyubich.yuri-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/199246

Publications in Math-Net.Ru Citations
2009
1. R. S. Ismagilov, Yu. I. Lyubich, “Family of Quaternion Norms with Isometry Group $\mathbb Z_2$ in General Position”, Mat. Zametki, 86:2 (2009),  310–313  mathnet  mathscinet  zmath; Math. Notes, 86:2 (2009), 282–285  isi  scopus
2008
2. R. S. Ismagilov, Yu. I. Lyubich, “Quaternion Normed Space with Isometry Group $\mathbb{Z}_2$”, Funktsional. Anal. i Prilozhen., 42:3 (2008),  90–92  mathnet  mathscinet  zmath; Funct. Anal. Appl., 42:3 (2008), 239–241  isi  scopus 1
2004
3. Yu. I. Lyubich, O. A. Shatalova, “Isometric embeddings of finite-dimensional $\ell_p$-spaces over the quaternions”, Algebra i Analiz, 16:1 (2004),  15–32  mathnet  mathscinet  zmath; St. Petersburg Math. J., 16:1 (2005), 9–24 12
2003
4. Yuri Lyubich, “Sturm–Liouville problem with a distributed condition”, Mat. Fiz. Anal. Geom., 10:3 (2003),  290–300  mathnet  mathscinet  zmath
2002
5. Yuri I. Lyubich, “Gauss type complex quadrature formulae, power moment problem and elliptic curves”, Mat. Fiz. Anal. Geom., 9:2 (2002),  128–145  mathnet  mathscinet  zmath 3
2000
6. Yu. I. Lyubich, “Два замечательных предела”, Mat. Pros., Ser. 3, 4 (2000),  145–153  mathnet
1999
7. Yu. I. Lyubich, “All ultranormal stochastic Bernstein mappings are regular”, Algebra i Analiz, 11:2 (1999),  109–141  mathnet  mathscinet  zmath; St. Petersburg Math. J., 11:2 (2000), 285–313
1998
8. Yu. I. Lyubich, O. A. Shatalova, “Almost Euclidean Planes in $\ell_p^n$”, Funktsional. Anal. i Prilozhen., 32:1 (1998),  76–78  mathnet  mathscinet  zmath; Funct. Anal. Appl., 32:1 (1998), 59–61  isi 2
1997
9. Yu. I. Lyubich, “Ultranormal Case of the Bernstein Problem”, Funktsional. Anal. i Prilozhen., 31:1 (1997),  77–80  mathnet  mathscinet  zmath; Funct. Anal. Appl., 31:1 (1997), 60–62  isi 3
1989
10. Vu Quok Phong, Yu. I. Lyubich, “On the spectral mapping theorem for a one-parameter group of operators”, Zap. Nauchn. Sem. LOMI, 178 (1989),  146–150  mathnet  mathscinet  zmath; J. Soviet Math., 61:2 (1992), 2035–2037
1988
11. Yu. I. Lyubich, “Linear functional analysis”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 19 (1988),  5–305  mathnet  mathscinet  zmath 8
12. Yu. I. Lyubich, “Toward a Mathematical Theory of Hypercycles”, Probl. Peredachi Inf., 24:1 (1988),  89–101  mathnet  mathscinet  zmath; Problems Inform. Transmission, 24:1 (1988), 68–78
1986
13. Yu. I. Lyubich, “On the dynamics of hypercycles”, Dokl. Akad. Nauk SSSR, 288:6 (1986),  1301–1304  mathnet  mathscinet  zmath
1985
14. A. I. Veitsblit, Yu. I. Lyubich, “The boundary spectrum of nonnegative operators”, Sibirsk. Mat. Zh., 26:6 (1985),  24–28  mathnet  mathscinet  zmath; Siberian Math. J., 26:6 (1985), 798–802  isi
1983
15. Yu. I. Lyubich, “A remark on the stability of complex dynamical systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 10,  49–50  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 27:10 (1983), 62–64 1
1980
16. L. A. Kun, Yu. I. Lyubich, “Convergence to Equilibrium in a Polylocus Polyallele Population with Additive Selection”, Probl. Peredachi Inf., 16:2 (1980),  92–102  mathnet  mathscinet  zmath; Problems Inform. Transmission, 16:2 (1980), 152–161
17. Yu. I. Lyubich, G. D. Maistrovskii, Yu. G. Ol'khovskii, “Selection-Induced Convergence to Equilibrium in a Single-Locus Autosomal Population”, Probl. Peredachi Inf., 16:1 (1980),  93–104  mathnet  mathscinet  zmath; Problems Inform. Transmission, 16:1 (1980), 66–75
1979
18. L. A. Kun, Yu. I. Lyubich, “Convergence to equilibrium under the action of additive selection in a multilocus multiallelic population”, Dokl. Akad. Nauk SSSR, 249:5 (1979),  1052–1055  mathnet  mathscinet  zmath
19. Yu. I. Lyubich, “A topological approach to a problem in mathematical genetics”, Uspekhi Mat. Nauk, 34:6(210) (1979),  53–58  mathnet  mathscinet  zmath; Russian Math. Surveys, 34:6 (1979), 60–66 4
1978
20. Yu. I. Lyubich, “18.5. On uniqueness theorem for the mean periodic functions”, Zap. Nauchn. Sem. LOMI, 81 (1978),  166  mathnet; J. Soviet Math., 26:5 (1984), 2206 1
1977
21. A. A. Krapivin, Yu. I. Lyubich, “Estimates of Lipschitz constants for polynomial operators in a simplex”, Dokl. Akad. Nauk SSSR, 234:3 (1977),  528–531  mathnet  mathscinet  zmath
22. Yu. I. Lyubich, “Proper Bernstein Populations”, Probl. Peredachi Inf., 13:3 (1977),  91–100  mathnet  mathscinet  zmath; Problems Inform. Transmission, 13:3 (1977), 228–235 2
23. Yu. I. Lyubich, “Bernshtein algebras”, Uspekhi Mat. Nauk, 32:6(198) (1977),  261–262  mathnet  mathscinet  zmath 1
24. Yu. I. Lyubich, “Nilpotency of commutative Engel algebras of dimension $n\leqslant 4$ over $R$”, Uspekhi Mat. Nauk, 32:1(193) (1977),  195–196  mathnet  mathscinet  zmath
1976
25. Yu. I. Lyubich, G. D. Maistrovskii, Yu. G. Ol'khovskii, “Convergence to equilibrium under the action of selection in a single locus population”, Dokl. Akad. Nauk SSSR, 226:1 (1976),  58–60  mathnet  mathscinet  zmath
26. A. A. Krapivin, Yu. I. Lyubich, “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  mathnet  mathscinet  zmath; Siberian Math. J., 17:4 (1976), 704–707  isi
1975
27. Yu. I. Lyubich, “The structure of Bernšteĭn populations of type $(2,n-2)$”, Uspekhi Mat. Nauk, 30:1(181) (1975),  247–248  mathnet  mathscinet  zmath 2
1974
28. V. I. Lomonosov, Yu. I. Lyubich, V. I. Matsaev, “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  mathnet  mathscinet  zmath 4
29. V. M. Kirzhner, Yu. I. Lyubich, “An evolutionary equation and limit theorem for general genetic systems without selection”, Dokl. Akad. Nauk SSSR, 215:4 (1974),  776–779  mathnet  mathscinet  zmath
30. Yu. I. Lyubich, “Two-level Bernsteinian populations”, Mat. Sb. (N.S.), 95(137):4(12) (1974),  606–628  mathnet  mathscinet  zmath; Math. USSR-Sb., 24:4 (1974), 593–615 9
1973
31. Yu. I. Lyubich, “On the mathematical theory of heredity”, Dokl. Akad. Nauk SSSR, 209:5 (1973),  1028–1030  mathnet  mathscinet  zmath 3
32. Yu. I. Lyubich, V. I. Matsaev, G. M. Feldman, “On representations with a separable spectrum”, Funktsional. Anal. i Prilozhen., 7:2 (1973),  52–61  mathnet  mathscinet  zmath; Funct. Anal. Appl., 7:2 (1973), 129–136 16
33. D. L. Gurarii, Yu. I. Lyubich, “An infinite-dimensional theorem analogous to Lie's weight theorem”, Funktsional. Anal. i Prilozhen., 7:1 (1973),  41–44  mathnet  mathscinet  zmath; Funct. Anal. Appl., 7:1 (1973), 34–36 2
34. Yu. I. Lyubich, “Structure of Bernshtein populations of type $(n-1,1)$”, Uspekhi Mat. Nauk, 28:5(173) (1973),  247–248  mathnet  mathscinet  zmath 4
35. Yu. I. Lyubich, “On a theorem of S. N. Bernstein”, Sibirsk. Mat. Zh., 14:3 (1973),  678–679  mathnet  mathscinet  zmath; Siberian Math. J., 14:3 (1973), 474 1
1971
36. Yu. I. Lyubich, V. I. Matsaev, G. M. Feldman, “On the separability of the spectrum of a representation of a locally compact abelian group”, Dokl. Akad. Nauk SSSR, 201:6 (1971),  1282–1284  mathnet  mathscinet  zmath
37. Yu. I. Lyubich, “On the spectrum of a representation of an abelian topological group”, Dokl. Akad. Nauk SSSR, 200:4 (1971),  777–780  mathnet  mathscinet  zmath 6
38. Yu. I. Lyubich, “Basic concepts and theorems of the evolutionary genetics of free populations”, Uspekhi Mat. Nauk, 26:5(161) (1971),  51–116  mathnet  mathscinet  zmath; Russian Math. Surveys, 26:5 (1971), 51–123 69
1970
39. Yu. I. Lyubich, “The attraction zone of a saddle point in the process of steepest descent”, Dokl. Akad. Nauk SSSR, 191:2 (1970),  273–274  mathnet  mathscinet  zmath
40. Yu. I. Lyubich, G. D. Maistrovskii, “The stability of relaxation processes”, Dokl. Akad. Nauk SSSR, 191:1 (1970),  22–24  mathnet  mathscinet  zmath
41. Yu. I. Lyubich, V. A. Tkachenko, “Quasianalyticity criterion for abstract operators”, Dokl. Akad. Nauk SSSR, 190:4 (1970),  772–774  mathnet  mathscinet  zmath
42. Yu. I. Lyubich, G. D. Maistrovskii, “The general theory of relaxation processes for convex functionals”, Uspekhi Mat. Nauk, 25:1(151) (1970),  57–112  mathnet  mathscinet  zmath; Russian Math. Surveys, 25:1 (1970), 57–117 13
43. Yu. I. Lyubich, “The boundary spectrum on contractions in Minkowski spaces”, Sibirsk. Mat. Zh., 11:2 (1970),  358–369  mathnet  mathscinet  zmath; Siberian Math. J., 11:2 (1970), 271–279 10
1969
44. Yu. I. Lyubich, V. A. Tkachenko, “On a Floquet theory for equations with retarded argument”, Differ. Uravn., 5:4 (1969),  648–656  mathnet  mathscinet  zmath 1
45. Yu. I. Lyubich, M. I. Tabachnikov, “Subharmonic functions on a directed graph”, Sibirsk. Mat. Zh., 10:3 (1969),  600–613  mathnet  mathscinet  zmath; Siberian Math. J., 10:3 (1969), 432–442 3
46. Yu. I. Lyubich, M. I. Tabachnikov, “A theorem of Marik and Pták”, Sibirsk. Mat. Zh., 10:2 (1969),  470–473  mathnet  mathscinet  zmath; Siberian Math. J., 10:2 (1969), 336–339
1968
47. Yu. I. Lyubich, “The convergence of the process of steepest descent”, Dokl. Akad. Nauk SSSR, 179:5 (1968),  1054–1056  mathnet  mathscinet  zmath
1967
48. Yu. I. Lyubich, “Rates of convergence of coordinate relaxation for a quadratic functional”, Dokl. Akad. Nauk SSSR, 173:1 (1967),  37–39  mathnet  mathscinet  zmath 1
1966
49. Yu. I. Lyubich, “Conditionality in general computational problems”, Dokl. Akad. Nauk SSSR, 171:4 (1966),  791–793  mathnet  mathscinet  zmath 1
50. Yu. I. Lyubich, “Investigating the deficiency of the abstract Cauchy problem”, Dokl. Akad. Nauk SSSR, 166:4 (1966),  783–786  mathnet  mathscinet  zmath
51. Yu. I. Lyubich, “The classical and local Laplace transformation in an abstract Cauchy problem”, Uspekhi Mat. Nauk, 21:3(129) (1966),  3–51  mathnet  mathscinet  zmath; Russian Math. Surveys, 21:3 (1966), 1–52 11
52. Yu. I. Lyubich, V. A. Tkachenko, “Theory and certain applications of the local Laplace transform”, Mat. Sb. (N.S.), 70(112):3 (1966),  416–437  mathnet  mathscinet  zmath 4
53. Yu. I. Lyubich, “On the rate of convergence of a stationary gradient relaxation”, Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966),  356–360  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 6:2 (1966), 228–233 1
1965
54. Yu. I. Lyubich, V. A. Tkachenko, “Uniqueness and approximation theorems for a local Laplace transformation”, Dokl. Akad. Nauk SSSR, 164:2 (1965),  273–276  mathnet  mathscinet  zmath
55. Yu. I. Lyubich, “General theorems on quadratic relaxation”, Dokl. Akad. Nauk SSSR, 161:6 (1965),  1274–1277  mathnet  mathscinet  zmath 1
56. Yu. I. Lyubich, “On a certain class of operators in Banach space”, Uspekhi Mat. Nauk, 20:6(126) (1965),  131–133  mathnet  mathscinet  zmath 3
57. Yu. I. Lyubich, “Conservative operators”, Uspekhi Mat. Nauk, 20:5(125) (1965),  221–225  mathnet  mathscinet  zmath 3
58. Yu. I. Lyubich, E. M. Livshits, “Bounds for the weight of a regular event over a one-letter alphabet”, Sibirsk. Mat. Zh., 6:1 (1965),  122–126  mathnet  mathscinet  zmath
1964
59. Yu. I. Lyubich, “Density conditions on the initial manifold for the abstract Cauchy problem”, Dokl. Akad. Nauk SSSR, 155:2 (1964),  262–265  mathnet  mathscinet  zmath 1
60. Yu. I. Lyubich, “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  mathnet  mathscinet  zmath; Sov. Math. Dokl., 5 (1964), 345–348
61. Yu. I. Lyubich, “Solvability conditions for the abstract Cauchy problem”, Dokl. Akad. Nauk SSSR, 154:1 (1964),  41–44  mathnet  mathscinet  zmath; Sov. Math. Dokl., 5 (1964), 35–38 1
62. Yu. I. Lyubich, “A remark on a problem of C. Berge”, Sibirsk. Mat. Zh., 5:4 (1964),  961–962  mathnet  mathscinet  zmath
63. Yu. I. Lyubich, “Estimates for the optimal determination of indeterminate autonomous automata”, Sibirsk. Mat. Zh., 5:2 (1964),  337–355  mathnet  mathscinet  zmath
1963
64. Yu. I. Lyubich, “Operator norms of matrices”, Uspekhi Mat. Nauk, 18:4(112) (1963),  161–164  mathnet  mathscinet  zmath
65. Yu. I. Lyubich, “Completeness conditions for a system of eigenvectors of a correct operator”, Uspekhi Mat. Nauk, 18:1(109) (1963),  165–171  mathnet  mathscinet  zmath 11
1962
66. Yu. I. Lyubich, “A remark on the conductiong capacity of a discrete noiseless channel”, Uspekhi Mat. Nauk, 17:1(103) (1962),  191–198  mathnet  mathscinet  zmath
67. Yu. I. Lyubich, “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  mathnet  mathscinet  zmath 1
68. Yu. I. Lyubich, V. I. Matsaev, “Operators with separable spectrum”, Mat. Sb. (N.S.), 56(98):4 (1962),  433–468  mathnet  mathscinet  zmath 16
1961
69. Yu. I. Lyubich, “On the theorem of uniqueness of the solution of the abstract Cauchy problem”, Uspekhi Mat. Nauk, 16:5(101) (1961),  181–182  mathnet  mathscinet  zmath 2
1960
70. Yu. I. Lyubich, “Almost periodic functions in the spectral analysis of operators”, Dokl. Akad. Nauk SSSR, 132:3 (1960),  518–520  mathnet  mathscinet  zmath 7
71. Yu. I. Lyubich, V. I. Matsaev, “On the spectral theory of linear operators in Banach spaces”, Dokl. Akad. Nauk SSSR, 131:1 (1960),  21–23  mathnet  mathscinet  zmath 1
72. Yu. I. Lyubich, “Conditions for the uniqueness of the solution to Cauchy's abstract problem”, Dokl. Akad. Nauk SSSR, 130:5 (1960),  969–972  mathnet  mathscinet  zmath 1
73. Yu. I. Lyubich, “On inequalities between powers of a linear operator”, Izv. Akad. Nauk SSSR Ser. Mat., 24:6 (1960),  825–864  mathnet  mathscinet  zmath 5
1959
74. Yu. I. Lyubich, “On the eigenfunctions and associated functions of a differentiation operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 1959, no. 4,  94–103  mathnet  mathscinet  zmath 2
1957
75. Yu. I. Lyubich, “Some Tauberian theorems for generalized Fourier transformations”, Dokl. Akad. Nauk SSSR, 113:1 (1957),  32–35  mathnet  zmath
76. Yu. I. Lyubich, “Existence of fundamental solution of equations of elliptic type”, Uspekhi Mat. Nauk, 12:1(73) (1957),  218  mathnet
1956
77. Yu. I. Lyubich, “On the fundamental solutions of linear partial differential equations of elliptic type”, Mat. Sb. (N.S.), 39(81):1 (1956),  23–36  mathnet  mathscinet  zmath 1
78. Yu. I. Lyubich, “On a class of integral equations”, Mat. Sb. (N.S.), 38(80):2 (1956),  183–202  mathnet  mathscinet  zmath 3
2011
79. Yu. I. Lyubich, V. A. Marchenko, S. P. Novikov, M. I. Ostrovskii, L. A. Pastur, A. N. Plichko, M. M. Popov, E. M. Semenov, S. L. Troyanskii, V. P. Fonf, E. Ya. Khruslov, “Mikhail Iosifovich Kadets (obituary)”, Uspekhi Mat. Nauk, 66:4(400) (2011),  179–180  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 66:4 (2011), 809–811  isi 2
1988
80. Yu. I. Lyubich, I. V. Ostrovskii, D. K. Faddeev, I. R. Shafarevich, L. A. Shor, “Samuil Davidovich Berman (obituary)”, Uspekhi Mat. Nauk, 43:1(259) (1988),  183–184  mathnet  mathscinet; Russian Math. Surveys, 43:1 (1988), 225–226  isi
1981
81. 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  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:4 (1981), 207–208  isi 1
1972
82. Yu. I. Lyubich, “Letter to the Editor”, Uspekhi Mat. Nauk, 27:6(168) (1972),  265  mathnet  mathscinet  zmath
1969
83. N. I. Akhiezer, E. M. Zhmud', Yu. I. Lyubich, V. A. Marchenko, “Izrail' Markovich Glazman (obituary)”, Uspekhi Mat. Nauk, 24:5(149) (1969),  215–219  mathnet  mathscinet  zmath; Russian Math. Surveys, 24:5 (1969), 185–189
1966
84. Yu. I. Lyubich, V. I. Matsaev, “Letter to the Editor”, Mat. Sb. (N.S.), 71(113):2 (1966),  287–288  mathnet  mathscinet  zmath 2
1962
85. Yu. I. Lyubich, “To the Editor of UMN”, Uspekhi Mat. Nauk, 17:2(104) (1962),  270  mathnet  zmath

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