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Dyachenko, Mikhail Ivanovich
Statistics Math-Net.Ru
Total publications: 60
Scientific articles: 52
Presentations: 6

Number of views:
This page:5475
Abstract pages:25157
Full texts:9272
References:2491
Professor
Doctor of physico-mathematical sciences (1993)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 27.02.1955
E-mail:
Keywords: Fourier series, convergence, Fourier coefficients, Waterman classes.

Subject:

Multiple trigonometric series.

Biography

1972–1977 student of Department of Mechanics and Mathematics of MSU;
1977–1980 postgraduate student of Department of Mechanics and Mathematics of MSU;
09.01.1981 — PhD Thesis;
1980–1982 sciense researcher of the Institute of Water Problems of Academy of Science of the USSR;
1982–1984 — Assistance Professor of Chair of Mathematics of Moscow Institute of Electronics and Automatics;
1984–1986 Assistance Professor of Chair of Theory of Functions and Functional Analysis of Department of Mechanics and Mathematics of MSU;
1986–1990 Senior Professor of Chair of Theory of Functions and Functional Analysis of Department of Mechanics and Mathematics of MSU;
1990–1994 Associated Professor of Chair of Theory of Functions and Functional Analysis of Department of Mechanics and Mathematics of MSU;
21.05.1993 — Doctoral Thesis;
1994–till now Professor of Chair of Theory of Functions and Functional Analysis of Department of Mechanics and Mathematics of MSU.

Pupils: PhD in Physics and Mathematics: V.A.Okulov, A.N.Bakhvalov, O.S.Dragoshanskiy, A.P.Antonov. Now, together with the Professor of Eurasian National University (Astana, Kasakhstan) Nursultanov E.D. http://enu.kz/professors/prepodavateli/nursultanov/index.php I am Scientific Adviser of Magistrant Askhat Mukanov and Doctorant Zhantakbaeva Ayagoz.
   
Main publications:
  1. M.I. Dyachenko, “Normy yader Dirikhle i nekotorykh drugikh trigonometricheskikh polinomov v prostranstvakh $L_p$”, Matem. sbornik, 184:3 (1993), 3–20
  2. M.I. Dyachenko, “Kusochno-monotonnye funktsii mnogikh peremennykh i teorema Khardi–Littlvuda”, Izvestiya AN SSSR. Ser. Matem., 55:6 (1991), 1156–1170
  3. M.I. Dyachenko, “$U$-skhodimost kratnykh ryadov Fure”, Izvestiya AN SSSR. Ser. Matem., 59:2 (1995), 128–142
  4. M.I. Dyachenko, “Sfericheskie chastichnye summy dvoinykh ryadov Fure funktsii s ogranichennoi obobschennoi variatsiei”, Matem. sbornik, 188:1 (1997), 29–58
  5. M.I. Dyachenko, “Dvumernye klassy Vatermana i $u$-skhodimost ryadov Fure”, Matem. sbornik, 190:7 (1999), 23–40

https://www.mathnet.ru/eng/person8270
List of publications on Google Scholar
https://www.researchgate.net/profile/Mikhail_Dyachenko

Publications in Math-Net.Ru Citations
2025
1. D. G. Dzhumabaeva, M. I. Dyachenko, E. D. Nursultanov, “Multiple trigonometric series with partially monotone coefficients”, Mat. Sb., 216:1 (2025),  79–95  mathnet
2023
2. M. I. Dyachenko, “Uniform Convergence of Sine Series with Fractional-Monotone Coefficients”, Mat. Zametki, 114:3 (2023),  339–346  mathnet  mathscinet; Math. Notes, 114:3 (2023), 296–302  scopus
3. M. I. Dyachenko, K. A. Oganesyan, “Counterexamples to the Hardy–Littlewood Theorem for Generalized Monotone Sequences”, Mat. Zametki, 113:3 (2023),  466–471  mathnet  mathscinet; Math. Notes, 113:3 (2023), 458–463  scopus
4. E. D. Alferova, M. I. Dyachenko, “$\alpha$-monotone sequences and the Lorentz theorem”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 2,  63–67  mathnet  zmath  elib; Moscow University Mathematics Bulletin, 78:2 (2023), 95–99 1
2022
5. M. I. Dyachenko, S. Yu. Tikhonov, “Piecewise General Monotone Functions and the Hardy–Littlewood Theorem”, Trudy Mat. Inst. Steklova, 319 (2022),  120–133  mathnet  mathscinet; Proc. Steklov Inst. Math., 319 (2022), 110–123  scopus
2021
6. M. I. Dyachenko, “Asymptotics of Sums of Cosine Series with Fractional Monotonicity Coefficients”, Mat. Zametki, 110:6 (2021),  865–874  mathnet  elib; Math. Notes, 110:6 (2021), 894–902  isi  scopus 4
7. A. S. Belov, M. I. Dyachenko, S. Yu. Tikhonov, “Functions with general monotone Fourier coefficients”, Uspekhi Mat. Nauk, 76:6(462) (2021),  3–70  mathnet  mathscinet  zmath; Russian Math. Surveys, 76:6 (2021), 951–1017  isi  scopus 5
2019
8. M. I. Dyachenko, A. B. Mukanov, S. Yu. Tikhonov, “Smoothness of functions and Fourier coefficients”, Mat. Sb., 210:7 (2019),  94–119  mathnet  mathscinet  zmath  elib; Sb. Math., 210:7 (2019), 994–1018  isi  scopus 10
2017
9. D. G. Dzhumabaeva, M. I. Dyachenko, E. D. Nursultanov, “On convergence of multiple trigonometric series with monotone coefficients”, Sibirsk. Mat. Zh., 58:2 (2017),  270–280  mathnet  elib; Siberian Math. J., 58:2 (2017), 205–214  isi  elib  scopus 3
2016
10. M. I. Dyachenko, E. D. Nursultanov, M. E. Nursultanov, “The Hardy–Littlewood Theorem for Multiple Fourier Series with Monotone Coefficients”, Mat. Zametki, 99:4 (2016),  502–510  mathnet  mathscinet  elib; Math. Notes, 99:4 (2016), 503–510  isi  scopus 2
2013
11. M. I. Dyachenko, E. D. Nursultanov, A. M. Zhantakbayeva, “Hardy–Littlewood type theorems”, Eurasian Math. J., 4:2 (2013),  140–143  mathnet  mathscinet  zmath 3
12. M. I. Dyachenko, “On a class of summability methods for multiple Fourier series”, Mat. Sb., 204:3 (2013),  3–18  mathnet  mathscinet  zmath  elib; Sb. Math., 204:3 (2013), 307–322  isi  scopus 11
13. M. I. Dyachenko, E. D. Nursultanov, S. Yu. Tikhonov, “Global and local smoothness of the Hilbert transforms”, Trudy Mat. Inst. Steklova, 280 (2013),  175–187  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 280 (2013), 169–180  isi  elib  scopus
2012
14. M. I. Dyachenko, S. Tikhonov, “Trigonometric series with lacunary-monotone coefficients”, Eurasian Math. J., 3:2 (2012),  31–52  mathnet  mathscinet  zmath 1
2011
15. M. I. Dyachenko, “Local smoothness of the conjugate functions”, Eurasian Math. J., 2:2 (2011),  31–59  mathnet  mathscinet  zmath 1
16. M. I. Dyachenko, “An Example of the Sequence of Coefficients of a Double Trigonometric Series”, Mat. Zametki, 90:1 (2011),  45–52  mathnet  mathscinet; Math. Notes, 90:1 (2011), 41–47  isi  scopus
2009
17. M. I. Dyachenko, E. D. Nursultanov, “Hardy-Littlewood theorem for trigonometric series with $\alpha$-monotone coefficients”, Mat. Sb., 200:11 (2009),  45–60  mathnet  mathscinet  zmath  elib; Sb. Math., 200:11 (2009), 1617–1631  isi  elib  scopus 7
2008
18. M. I. Dyachenko, “The Hardy–Littlewood theorem for trigonometric series with generalized monotone coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 5,  38–47  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 52:5 (2008), 32–40 7
2006
19. M. I. Dyachenko, “Many-dimensional alternative Waterman classes”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 3,  18–25  mathnet  mathscinet  zmath
2004
20. M. I. Dyachenko, “Uniform Convergence of Hyperbolic Partial Sums of Multiple Fourier Series”, Mat. Zametki, 76:5 (2004),  723–731  mathnet  mathscinet  zmath; Math. Notes, 76:5 (2004), 673–681  isi  scopus 8
2003
21. M. I. Dyachenko, K. S. Kazarian, P. Cifuentes, “The essential divergence in measure of function sequences and series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 3,  22–29  mathnet  mathscinet  zmath
2002
22. M. I. Dyachenko, K. S. Kazarian, “On sets of convergence and divergence of multiple orthogonal series”, Mat. Sb., 193:9 (2002),  41–62  mathnet  mathscinet  zmath; Sb. Math., 193:9 (2002), 1281–1301  isi  scopus 2
2001
23. M. I. Dyachenko, “$U$-Convergence of Fourier Series with Monotone and with Positive Coefficients”, Mat. Zametki, 70:3 (2001),  356–365  mathnet  mathscinet  zmath  elib; Math. Notes, 70:3 (2001), 320–328  isi 1
24. M. I. Dyachenko, “Generalized Cesàro summation of multiple Fourier series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2001, no. 5,  16–21  mathnet  mathscinet  zmath 1
1999
25. M. I. Dyachenko, “The rate of Pringsheim convergence of multiple Fourier series of piecewise monotonic functions of many variables in the space $L$”, Fundam. Prikl. Mat., 5:4 (1999),  1003–1013  mathnet  mathscinet  zmath
26. M. I. Dyachenko, “Two-dimensional Waterman classes and $u$-convergence of Fourier series”, Mat. Sb., 190:7 (1999),  23–40  mathnet  mathscinet  zmath; Sb. Math., 190:7 (1999), 955–972  isi  scopus 15
1998
27. M. I. Dyachenko, “Fourier coefficients of piecewise-monotone functions of several variables”, Izv. RAN. Ser. Mat., 62:2 (1998),  35–48  mathnet  mathscinet  zmath; Izv. Math., 62:2 (1998), 247–259  isi  scopus
28. M. I. Dyachenko, “Fourier transform of piecewise monotone functions of many variables”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 3,  25–38  mathnet  mathscinet  zmath
1997
29. T. M. Vukolova, M. I. Dyachenko, “Estimates for mixed norms of the sums of double trigonometric series with multiply monotonous coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 7,  3–13  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:7 (1997), 1–11 6
30. M. I. Dyachenko, “Spherical partial sums of the double Fourier series of functions of bounded generalized variation”, Mat. Sb., 188:1 (1997),  29–58  mathnet  mathscinet  zmath; Sb. Math., 188:1 (1997), 29–60  isi  scopus 2
1996
31. M. I. Dyachenko, “Uniform convergence of double Fourier series for classes of functions with anisotropic smoothness”, Mat. Zametki, 59:6 (1996),  937–943  mathnet  mathscinet  zmath; Math. Notes, 59:6 (1996), 680–686  isi 1
1995
32. M. I. Dyachenko, “$u$-convergence of multiple Fourier series”, Izv. RAN. Ser. Mat., 59:2 (1995),  129–142  mathnet  mathscinet  zmath; Izv. Math., 59:2 (1995), 353–366  isi 4
33. M. I. Dyachenko, “$U$-convergence almost everywhere of double Fourier series”, Mat. Sb., 186:1 (1995),  47–64  mathnet  mathscinet  zmath; Sb. Math., 186:1 (1995), 47–64  isi 1
34. T. M. Vukolova, M. I. Dyachenko, “On the properties of sums of trigonometric series with monotone coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 3,  22–32  mathnet  mathscinet  zmath 9
1994
35. T. M. Vukolova, M. I. Dyachenko, “Estimates for the norms of sums of double trigonometric series with multiply monotone coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 7,  20–28  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 38:7 (1994), 18–26 4
1993
36. M. I. Dyachenko, “Norms of Dirichlet kernels and some other trigonometric polynomials in $L_p$-spaces”, Mat. Sb., 184:3 (1993),  3–20  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 78:2 (1994), 267–282  isi 14
1992
37. M. I. Dyachenko, “Functions of many variables, monotone on pseudoconvex sets”, Mat. Zametki, 52:2 (1992),  38–43  mathnet  mathscinet  zmath; Math. Notes, 52:2 (1992), 779–783  isi
38. M. I. Dyachenko, “Some problems in the theory of multiple trigonometric series”, Uspekhi Mat. Nauk, 47:5(287) (1992),  97–162  mathnet  mathscinet  zmath; Russian Math. Surveys, 47:5 (1992), 103–171  isi 26
39. M. I. Dyachenko, “Pringsheim rate of convergence of Fourier series of monotone functions in several variables”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 4,  60–68  mathnet  mathscinet  zmath
1991
40. M. I. Dyachenko, “Piecewise monotonic functions of several variables and a theorem of Hardy and Littlewood”, Izv. Akad. Nauk SSSR Ser. Mat., 55:6 (1991),  1156–1170  mathnet  mathscinet  zmath; Math. USSR-Izv., 39:3 (1992), 1113–1128  isi 8
41. M. I. Dyachenko, “Almost everywhere convergence of multiple Fourier series of monotonic functions”, Mat. Sb., 182:5 (1991),  622–637  mathnet  mathscinet  zmath; Math. USSR-Sb., 73:1 (1992), 11–25  isi 2
42. M. I. Dyachenko, “Convex sets and multiple Fourier series”, Trudy Mat. Inst. Steklov., 200 (1991),  147–156  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 200 (1993), 161–171 2
1990
43. M. I. Dyachenko, “A criterion for spherical convergence of Fourier transforms of monotone functions of two variables”, Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 11,  18–27  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 34:11 (1990), 21–31
1989
44. M. I. Dyachenko, “On certain properties of multiple series and Fourier transforms”, Trudy Mat. Inst. Steklov., 190 (1989),  88–101  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 190 (1992), 91–106 5
45. M. I. Dyachenko, “The order of growth of Lebesgue constants of Dirichlet kernels of monotone type”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 6,  33–37  mathnet  mathscinet  zmath 4
1988
46. M. I. Dyachenko, “Lebesgue constants of Dirichlet kernels of monotone type and convergence of multiple trigonometric series”, Mat. Zametki, 44:6 (1988),  758–769  mathnet  mathscinet  zmath; Math. Notes, 44:6 (1988), 902–910  isi 3
1987
47. M. I. Dyachenko, “The analyticity of sums of trigonometric series with infinite-monotone coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 5,  35–40  mathnet  mathscinet  zmath
1986
48. M. I. Dyachenko, “Trigonometric series with generalized-monotone coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 7,  39–50  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 30:7 (1986), 54–66 9
49. M. I. Dyachenko, “On the convergence of double trigonometric series and Fourier series with monotone coefficients”, Mat. Sb. (N.S.), 129(171):1 (1986),  55–72  mathnet  mathscinet  zmath; Math. USSR-Sb., 57:1 (1987), 57–75 18
1982
50. M. I. Dyachenko, “On some conditions for local smoothness of functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 1,  10–18  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 26:1 (1982), 10–19 1
1981
51. M. I. Dyachenko, “Generalized Fourier sine series”, Mat. Zametki, 29:5 (1981),  641–657  mathnet  mathscinet  zmath; Math. Notes, 29:5 (1981), 327–335  isi
52. M. I. Dyachenko, “Some local properties of functions”, Uspekhi Mat. Nauk, 36:1(217) (1981),  205–206  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:1 (1981), 231–232  isi
2021
53. P. A. Borodin, M. I. Dyachenko, B. S. Kashin, T. P. Lukashenko, I. I. Mel'nikov, V. A. Sadovnichii, B. V. Simonov, V. A. Skvortsov, A. P. Solodov, V. N. Temlyakov, S. Yu. Tikhonov, V. M. Fedorov, “Mikhail Konstantinovich Potapov (on his 90th birthday)”, Uspekhi Mat. Nauk, 76:2(458) (2021),  185–186  mathnet  mathscinet  zmath; Russian Math. Surveys, 76:2 (2021), 369–371  isi
2011
54. O. V. Besov, S. V. Bochkarev, B. I. Golubov, A. A. Gonchar, M. I. D'yachenko, V. V. Kozlov, S. V. Konyagin, Yu. V. Malykhin, S. M. Nikol'skii, M. K. Potapov, V. A. Sadovnichii, S. A. Telyakovskii, “Boris Sergeevich Kashin (on his 60th birthday)”, Uspekhi Mat. Nauk, 66:4(400) (2011),  189–191  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 66:4 (2011), 825–828  isi
55. M. I. Dyachenko, M. K. Potapov, I. I. Mel'nikov, V. N. Chubarikov, “Boris Sergeevich Kashin (on the occasion of his sixtieth birthday)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 6,  68–69  mathnet  mathscinet
56. S. M. Nikol'skii, V. A. Sadovnichii, V. N. Chubarikov, B. S. Kashin, I. I. Mel'nikov, M. I. Dyachenko, “Mikhail Konstantinovich Potapov (to 80th anniversary)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 2,  63–64  mathnet
2008
57. B. S. Kashin, M. K. Potapov, M. I. Dyachenko, “To the eightyth anniversary of Petr Lavrent'evitch Ul'yanov (03.05.1928 – 13.11.2006)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2008, no. 3,  3–5  mathnet  mathscinet  zmath
2007
58. S. I. Adian, O. V. Besov, A. A. Gonchar, M. I. Dyachenko, B. S. Kashin, S. M. Nikol'skii, M. K. Potapov, “Petr Lavrent'evich Ul'yanov”, CMFD, 25 (2007),  5–7  mathnet  mathscinet  zmath; Journal of Mathematical Sciences, 155:1 (2008), 1–4  scopus
59. S. I. Adian, O. V. Besov, A. A. Gonchar, M. I. Dyachenko, B. S. Kashin, S. M. Nikol'skii, M. K. Potapov, “Petr Lavrent'evich Ul'yanov (obituary)”, Uspekhi Mat. Nauk, 62:4(376) (2007),  133–139  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:4 (2007), 767–773  isi
1998
60. M. I. Dyachenko, B. S. Kashin, M. K. Potapov, “Petr Lavrent'evich Ul'yanov (on the occasion of his seventieth birthday)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 3,  3–6  mathnet  mathscinet

Presentations in Math-Net.Ru
1. The Hardy-Littlewood theorem and transformations of the functions and their Fourier coefficients
M. I. Dyachenko
International Conference “Nonlinear Approximation and Discretization” dedicated to the 70-th anniversary of Professor V.N. Temlyakov
November 1, 2023 10:50   
2. Дробная монотонность. Неравенства Харди-Литтльвуда.
M. I. Dyachenko
Seminar on Theory of Functions of Real Variables
March 10, 2023 18:30
3. Теорема Харди-Литтльвуда и преобразование Харди
M. I. Dyachenko
Seminar on Theory of Functions of Real Variables
April 15, 2022 18:30
4. The asymptotic of the sums of cosine-series with fractionely monotone coefficients near the origin
M. I. Dyachenko
International Conference "Approximation Theory and Applications" Dedicated to the 100th Anniversary S. B. Stechkin
September 7, 2021 18:05   
5. Hardy-Littlewood theorem, Hardy transform and generalized piecewise monotone functions
M. Dyachenko
Approximation and discretization
September 1, 2021 10:00   
6. Теорема Харди–Литтлвуда и усреднение коэффициентов Фурье
M. I. Dyachenko, E. D. Nursultanov, S. Yu. Tikhonov
Seminar on Theory of Functions of Real Variables
December 2, 2016 18:30

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