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Lukashenko Taras Pavlovich

Publications in Math-Net.Ru

  1. Research activity of the Chair of Mathematical Analysis

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 1,  61–65
  2. Nonsummability of almost everywhere orthorecursive expansions

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 3,  36–39
  3. Kolmogorov's ideas on the theory of integral in modern research

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 1,  20–31
  4. Orthonormal bases of multidimensional trigonometric polynomials, consisting of translations of one of them

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 3,  48–52
  5. Orthorecursive decompositions and their properties

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 170 (2019),  62–70
  6. A condition for almost everywhere convergence of orthorecursive expansions

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 5,  20–25
  7. The condition of almost everywhere convergence for a functional series with a weak analogue of the orthonormality property

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 2,  18–24
  8. Orthogonal Basis of Shifts in Space of Trigonometric Polynomials

    Izv. Saratov Univ. Math. Mech. Inform., 14:4(1) (2014),  367–373
  9. On the properties of orthorecursive expansions with respect to subspaces

    Trudy Mat. Inst. Steklova, 284 (2014),  138–141
  10. Bases of trigonometric polynomials consisting of shifts of Dirichlet kernels

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 5,  35–40
  11. Orthorecursive Fourier–Stieltjes expansions

    Trudy Mat. Inst. Steklova, 280 (2013),  227–233
  12. On Recursive Decompositions of Measures

    Mat. Zametki, 91:5 (2012),  720–729
  13. Expansion over a system of shifts of pyramidal functions

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 4,  22–28
  14. The $A$-integral and its application in the investigations of P.  L. Ul'yanov and other mathematicians

    Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 5,  77–82
  15. Monotonicity and convexity of a conjugate function

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 1,  11–16
  16. On Stieltjes integrals and Parseval's equality for multiple trigonometric series

    Izv. RAN. Ser. Mat., 69:5 (2005),  149–168
  17. On the Parseval equality for the product of functions

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 3,  32–40
  18. On the Riemann–Stieltjes integral and Parseval's equality

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 4,  18–22
  19. Properties of orthorecursive expansions in nonorthogonal systems

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2001, no. 1,  6–10
  20. On convergence of generalized systems similar to orthogonal ones

    Fundam. Prikl. Mat., 6:3 (2000),  813–829
  21. On properties of generalized expansion systems that are similar to orthogonal systems

    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 10,  33–48
  22. Analogs of the Kolmogorov–Seliverstov–Plessner theorem for nonorthogonal function systems

    Mat. Zametki, 67:1 (2000),  87–101
  23. An analog of the Menshov–Rademacher theorem for generalized orthosimilar systems

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 5,  31–35
  24. Properties of expansion systems similar to orthogonal ones

    Izv. RAN. Ser. Mat., 62:5 (1998),  187–206
  25. Generalized expansion systems similar to orthogonal ones

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 4,  6–10
  26. Systems of expansions similar to orthogonal systems

    Fundam. Prikl. Mat., 3:2 (1997),  487–517
  27. Coefficients with respect to orthogonal-like decomposition systems

    Mat. Sb., 188:12 (1997),  57–72
  28. Orthosimilar nonnegative expansion systems

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1997, no. 5,  27–31
  29. Decomposition systems on spaces with a measure

    Izv. RAN. Ser. Mat., 60:1 (1996),  165–174
  30. Wavelets on topological groups

    Izv. RAN. Ser. Mat., 58:3 (1994),  88–102
  31. Wavelets on topological groups

    Dokl. Akad. Nauk, 332:1 (1993),  15–17
  32. On the equimeasurability of maximal functions

    Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 5,  29–31
  33. Properties of maximal convolution operators

    Dokl. Akad. Nauk SSSR, 315:4 (1990),  787–789
  34. On the modulus of continuity of a conjugate function on subsets

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 4,  13–17
  35. Properties of the maximal function of a measure $\nu$ with respect to a measure $\mu$

    Mat. Zametki, 39:2 (1986),  212–220
  36. On properties of functions of bounded variation on a set

    Mat. Sb. (N.S.), 122(164):1(9) (1983),  41–63
  37. On functions of generalized bounded variation and functions absolutely continuous in a generalized sense

    Dokl. Akad. Nauk SSSR, 263:3 (1982),  537–540
  38. On functions of generalized bounded variation

    Izv. Akad. Nauk SSSR Ser. Mat., 46:2 (1982),  276–313
  39. Union of sets of divergence of functional series

    Mat. Zametki, 31:4 (1982),  539–548
  40. $A$-integrability of functions

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 5,  59–63
  41. On the Perron–Stieltjes integral

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 3,  39–47
  42. On integrals of conjugate functions

    Izv. Akad. Nauk SSSR Ser. Mat., 43:4 (1979),  795–830
  43. On majorants of $D$-integrable functions

    Mat. Sb. (N.S.), 110(152):3(11) (1979),  440–453
  44. Denjoy–Khinchin-integrable functions and their conjugates

    Izv. Akad. Nauk SSSR Ser. Mat., 41:3 (1977),  663–702
  45. Conjugate functions and the restricted Denjoy integral

    Mat. Sb. (N.S.), 104(146):1(9) (1977),  89–139
  46. Boks-integrable nonmeasurable functions

    Mat. Zametki, 17:1 (1975),  49–56
  47. Integrals and $n$-dimensional conjugate functions

    Izv. Akad. Nauk SSSR Ser. Mat., 38:3 (1974),  546–582
  48. On $D$-integrable conjugate functions

    Izv. Akad. Nauk SSSR Ser. Mat., 37:4 (1973),  946–958
  49. Adjoint functions and integrals

    Izv. Akad. Nauk SSSR Ser. Mat., 36:2 (1972),  435–449
  50. On functions conjugate to Denjoy–Khinchin integrable functions

    Izv. Akad. Nauk SSSR Ser. Mat., 35:2 (1971),  381–407

  51. 90 years since the birthday of Academician Oleg Borisovich Lupanov (02.06.1932 – 03.05.2006)

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3,  3–5
  52. Mikhail Konstantinovich Potapov (on his 90th birthday)

    Uspekhi Mat. Nauk, 76:2(458) (2021),  185–186
  53. To 70-th anniversary of professor V. N. Chubarikov

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5,  69–71
  54. Viktor Timofeevich Markov (21.06.1948—15.07.2019)

    Fundam. Prikl. Mat., 23:2 (2020),  3–16
  55. Igor Germanovich Tsarkov (to 60th anniversary)

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 4,  70–71
  56. Valerii Vasil'evich Vavilov (30.06.1946 – 21.10.2016)

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 1,  71–72
  57. Valentin Anatol'evich Skvortsov (on his 80th birthday)

    Uspekhi Mat. Nauk, 71:1(427) (2016),  184–186
  58. Valerian Ivanovich Gavrilov to 80th anniversary

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 2,  69–71
  59. To memory of Leonid Evgen'evich Evtushik (25.05.1931–16.02.2013)

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 5,  69–70
  60. Московский государственный университет им. М.В. Ломоносова

    Kvant, 2008, no. 1,  45–53
  61. Valentin Anatol'evich Skvortsov (on the occasion of his seventieth birthday)

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 4,  67–69
  62. Andrei Borisovich Shidlovskii (on the occasion of his 90th birthday)

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 3,  68–70

© Steklov Math. Inst. of RAS, 2025