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Gaposhkin Vladimir Fedorovich

Publications in Math-Net.Ru

  1. An Example Related to the Sidon Property for $m$-Dependent Systems

    Mat. Zametki, 89:3 (2011),  350–354
  2. On convergence estimates in strengthen law of large numbers for stationary sequences

    Teor. Veroyatnost. i Primenen., 55:4 (2010),  772–782
  3. On Independent and Stationary Subsystems of the Walsh System and Periodic Multiplicative Systems

    Mat. Zametki, 85:3 (2009),  342–350
  4. Exact Estimates of the Metric Entropy of the Averages for Some Classes of Stationary Sequences

    Teor. Veroyatnost. i Primenen., 53:1 (2008),  16–39
  5. Precise estimates of the metric entropy for the set of arithmetic averages of quasi-stationary processes

    Teor. Veroyatnost. i Primenen., 51:4 (2006),  785–793
  6. Estimates of the Entropy of the Set of Means for Some Classes of Stationary and Quasistationary Sequences

    Mat. Zametki, 78:1 (2005),  52–58
  7. Some Examples of the Problem of $\varepsilon$-Deviatations for Stationary Sequences

    Teor. Veroyatnost. i Primenen., 46:2 (2001),  370–375
  8. On the maximal quadratic function for power-bounded operators in $L^p$

    Mat. Zametki, 67:6 (2000),  950–953
  9. On the integrability of a maximal square function in ergodic theory

    Teor. Veroyatnost. i Primenen., 44:2 (1999),  432–440
  10. Decrease rate of the probabilities of $\varepsilon$-deviations for the means of stationary processes

    Mat. Zametki, 64:3 (1998),  366–372
  11. On almost everywhere convergence of the Riesz averages of homogeneous random fields

    Teor. Veroyatnost. i Primenen., 42:3 (1997),  461–472
  12. Spectral criteria for existence of generalized ergodic transforms

    Teor. Veroyatnost. i Primenen., 41:2 (1996),  251–271
  13. Summability of stationary sequences by Riesz methods

    Mat. Zametki, 57:5 (1995),  653–662
  14. On the strong law of large numbers for blockwise independent and blockwise orthogonal random variables

    Teor. Veroyatnost. i Primenen., 39:4 (1994),  804–812
  15. On $(C,\alpha)$-summability almost everywhere of certain sequences

    Mat. Zametki, 53:6 (1993),  22–32
  16. Estimates for moments of integrals of $\rho$-mixing fields

    Teor. Veroyatnost. i Primenen., 36:2 (1991),  262–273
  17. Series of block-orthogonal and block-independent systems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 5,  12–18
  18. Estimation of the moments of weighted sums for mixing processes

    Mat. Zametki, 46:2 (1989),  42–50
  19. On the equivalence of classical methods of summation of orthogonal series

    Sibirsk. Mat. Zh., 30:1 (1989),  48–56
  20. The law of large numbers for linear autoregression processes

    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 4,  12–21
  21. Moment estimates for integrals of $\rho$-mixing random fields

    Uspekhi Mat. Nauk, 43:5(263) (1988),  169–170
  22. Connection of the Discrete Time Ergodic Stationary Process with the Quantizied Process

    Teor. Veroyatnost. i Primenen., 33:2 (1988),  401–405
  23. On Summation of Sequences of Independent Random Variables

    Teor. Veroyatnost. i Primenen., 33:1 (1988),  68–82
  24. The law of large numbers for moving averages of independent random variables

    Mat. Zametki, 42:1 (1987),  124–131
  25. On a Summation Almost Everywhere of Stationary Sequences

    Teor. Veroyatnost. i Primenen., 32:1 (1987),  137–142
  26. The Sidon property for $m$-dependent systems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 7,  8–11
  27. A remark on strong consistency of LS estimates when the errors of observations are weakly correlated

    Teor. Veroyatnost. i Primenen., 30:1 (1985),  160–163
  28. An ergodic theorem for functions of normal operators

    Funktsional. Anal. i Prilozhen., 18:1 (1984),  1–6
  29. Tauberian ergodic theorem for normal contraction operators

    Mat. Zametki, 35:3 (1984),  397–404
  30. Individual ergodic theorem for normal operators in $L_2$

    Funktsional. Anal. i Prilozhen., 15:1 (1981),  18–22
  31. On zeros of trigonometric series with monotone coefficients

    Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 9,  13–15
  32. A multi-parametric strong law of large numbers for homogeneous random fields

    Uspekhi Mat. Nauk, 36:6(222) (1981),  197–198
  33. On the rate of convergence in the strong law of large numbers for stationary processes

    Teor. Veroyatnost. i Primenen., 26:4 (1981),  720–733
  34. The local ergodic theorem for groups of unitary operators and second order stationary processes

    Mat. Sb. (N.S.), 111(153):2 (1980),  249–265
  35. Almost surely convegrence of the estimates of the spectral density of a stationary process

    Teor. Veroyatnost. i Primenen., 25:1 (1980),  172–178
  36. Strong consistency of estimates of the trend of a time series

    Mat. Zametki, 26:4 (1979),  643–652
  37. Estimates of means for almost all realizations of stationary processes

    Sibirsk. Mat. Zh., 20:5 (1979),  978–989
  38. A theorem on the convergence almost everywhere of a sequence of measurable functions, and its applications to sequences of stochastic integrals

    Mat. Sb. (N.S.), 104(146):1(9) (1977),  3–21
  39. Criteria of the strong law of large numbers for some classes of stationary processes and homogeneous random fields

    Teor. Veroyatnost. i Primenen., 22:2 (1977),  295–319
  40. Necessary convergence conditions for series $\sum a_nS_n$ in the case of identically distributed independent random quantities

    Mat. Zametki, 20:4 (1976),  529–536
  41. Exact estimates of the rate of convergence in the strong law of large numbers for classes of stationary (in the wide sense) sequences and processes

    Uspekhi Mat. Nauk, 31:5(191) (1976),  233–234
  42. Criteria for the strong law of large numbers for classes of stationary processes and homogeneous random fields

    Dokl. Akad. Nauk SSSR, 223:5 (1975),  1044–1047
  43. Convergence of series connected with stationary sequences

    Izv. Akad. Nauk SSSR Ser. Mat., 39:6 (1975),  1366–1392
  44. A uniqueness theorem for multiple Lacunary trigonometric series

    Mat. Zametki, 16:6 (1974),  865–870
  45. The haar system as an unconditional basis in $L_p[0, 1]$

    Mat. Zametki, 15:2 (1974),  191–196
  46. Series that are connected with stationary sequences

    Uspekhi Mat. Nauk, 29:3(177) (1974),  191–192
  47. On the law of the iterated logarithm for stochastic approximation processes

    Teor. Veroyatnost. i Primenen., 19:4 (1974),  879–886
  48. On the Strong Law of Large Numbers for Second Order Stationary Processes and Sequences

    Teor. Veroyatnost. i Primenen., 18:2 (1973),  388–392
  49. On the convergence of series of weakly multiplicative systems of functions

    Mat. Sb. (N.S.), 89(131):3(11) (1972),  355–365
  50. Convergence and limit theorems for subsequences of random variables

    Teor. Veroyatnost. i Primenen., 17:3 (1972),  401–423
  51. Lacunary series with respect to multiplicative systems of functions. II

    Sibirsk. Mat. Zh., 12:2 (1971),  295–314
  52. Lacunary series with respect to multiplicative systems of functions. I

    Sibirsk. Mat. Zh., 12:1 (1971),  65–83
  53. The order of approximation by partial sums of lacunary series in Banach spaces

    Mat. Zametki, 8:5 (1970),  575–582
  54. On the central limit theorem for some weakly dependent sequences

    Teor. Veroyatnost. i Primenen., 15:4 (1970),  666–684
  55. A central limit theorem for strongly multiplicative systems of functions

    Mat. Zametki, 6:4 (1969),  443–450
  56. Subsystems of periodic multiplicative systems of functions

    Uspekhi Mat. Nauk, 24:4(148) (1969),  191–192
  57. On the law of iterated logarithm for shtrongly multiplicative systems

    Teor. Veroyatnost. i Primenen., 14:3 (1969),  511–516
  58. Convergence and divergence systems

    Mat. Zametki, 4:3 (1968),  253–260
  59. Unconditional bases in Orlicz spaces

    Sibirsk. Mat. Zh., 9:2 (1968),  280–287
  60. Certain systems of almost independent functions

    Sibirsk. Mat. Zh., 9:2 (1968),  264–279
  61. On the speed of convergence to the Gaussian law of weighted sums of gap series

    Teor. Veroyatnost. i Primenen., 13:3 (1968),  445–461
  62. Existence of absolute bases in orlicz spaces

    Funktsional. Anal. i Prilozhen., 1:4 (1967),  26–32
  63. Absolute convergence of lacunary series

    Izv. Akad. Nauk SSSR Ser. Mat., 31:6 (1967),  1271–1288
  64. On asymptotically best lacunary systems

    Izv. Akad. Nauk SSSR Ser. Mat., 31:5 (1967),  1011–1026
  65. Observation on a work of P. Révész on multiplicative systems of functions

    Mat. Zametki, 1:6 (1967),  653–656
  66. Unconditional bases in Orlicz spaces

    Uspekhi Mat. Nauk, 22:2(134) (1967),  113–114
  67. Systems of the form $\{\varphi_k(n_k{x})\}$ equivalent to systems of independent functions

    Uspekhi Mat. Nauk, 22:1(133) (1967),  184–185
  68. A system of convergence

    Mat. Sb. (N.S.), 74(116):1 (1967),  93–99
  69. Lacunary series and independent functions

    Uspekhi Mat. Nauk, 21:6(132) (1966),  3–82
  70. Almost independent subsystems of system $\{\varphi(nx)\}$

    Uspekhi Mat. Nauk, 21:3(129) (1966),  233–235
  71. Sequences of functions and the central limit theorem

    Mat. Sb. (N.S.), 70(112):2 (1966),  145–171
  72. On series relative to the system $\{\varphi(nx)\}$

    Mat. Sb. (N.S.), 69(111):3 (1966),  328–353
  73. Weyl multipliers for Fourier series of characteristic functions

    Uspekhi Mat. Nauk, 20:4(124) (1965),  142–147
  74. Probability properties of subsequences of functions

    Uspekhi Mat. Nauk, 20:3(123) (1965),  241–243
  75. The law of iterated logarithm for Cesaro's and Abel's methods of summation

    Teor. Veroyatnost. i Primenen., 10:3 (1965),  449–459
  76. On the convergence of orthogonal series

    Dokl. Akad. Nauk SSSR, 159:2 (1964),  243–246
  77. Critical points of functionals in Banach spaces

    Mat. Sb. (N.S.), 64(106):4 (1964),  589–617
  78. A localization principle and systems of the form $\{\varphi(nx)\}$

    Mat. Sb. (N.S.), 63(105):3 (1964),  459–488
  79. Локальные и нелокальные свойства систем вида $\{\varphi(nx)\}$

    Uspekhi Mat. Nauk, 18:1(109) (1963),  208
  80. Operator bases in Banach spaces

    Mat. Sb. (N.S.), 61(103):1 (1963),  3–12
  81. On the critical-point principle in Banach spaces

    Dokl. Akad. Nauk SSSR, 145:4 (1962),  716–719
  82. The localization principle and $\{\varphi(nx)\}$ systems

    Dokl. Akad. Nauk SSSR, 144:1 (1962),  17–18
  83. Systems of the form $\{\varphi(nx)\}$ close to trigonometric systems

    Mat. Sb. (N.S.), 51(93):2 (1960),  239–252
  84. On a property of unconditional bases in $L^p$ space

    Uspekhi Mat. Nauk, 14:4(88) (1959),  143–148
  85. On unconditional bases in $L^p$ ($p>1$) spaces

    Uspekhi Mat. Nauk, 13:4(82) (1958),  179–184
  86. A generalization of the theorem of M. Riesz on conjugate functions

    Mat. Sb. (N.S.), 46(88):3 (1958),  359–372

  87. Letter to the editors

    Teor. Veroyatnost. i Primenen., 21:2 (1976),  460


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