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Belov, Aleksandr Sergeevich
Statistics Math-Net.Ru
Total publications: 41
Scientific articles: 41
Presentations: 1

Number of views:
This page:2374
Abstract pages:15423
Full texts:5842
References:1729
Associate professor
Doctor of physico-mathematical sciences
E-mail:
Keywords: $PI$-algebra, polynomial identity, representable algebra, universal algebra, finite basis property, Hilbert series, Specht problem, non-commutative algebraic geometry, representation theory, quivers.

https://www.mathnet.ru/eng/person8302
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/213845

Publications in Math-Net.Ru Citations
2022
1. A. S. Belov, “On the Sum of a Trigonometric Sine Series with Monotone Coefficients”, Trudy Mat. Inst. Steklova, 319 (2022),  29–50  mathnet; Proc. Steklov Inst. Math., 319 (2022), 22–42  scopus
2021
2. 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
2018
3. A. S. Belov, “On unimprovability of some theorems on convergence in mean of trigonometric series”, Fundam. Prikl. Mat., 22:1 (2018),  31–49  mathnet; J. Math. Sci., 250:3 (2020), 404–418
2016
4. A. S. Belov, “Bound of remainder term of asymptotic solution one extremal problem connected with nonnegative trigonometric polynomials”, Mat. Zametki, 100:2 (2016),  303–307  mathnet  mathscinet  elib; Math. Notes, 100:2 (2016), 325–329  isi  scopus 2
2013
5. A. S. Belov, “On the asymptotic solution of one extremal problem related to nonnegative trigonometric polynomials”, Fundam. Prikl. Mat., 18:5 (2013),  27–67  mathnet  mathscinet; J. Math. Sci., 209:1 (2015), 19–50  scopus 1
6. A. S. Belov, “On positive definite piecewise linear functions and their applications”, Trudy Mat. Inst. Steklova, 280 (2013),  11–40  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 280 (2013), 5–33  isi  elib  scopus 5
2012
7. A. S. Belov, “Some properties of the sum of the moduli of the terms of a grouped trigonometric series”, Mat. Sb., 203:6 (2012),  35–62  mathnet  mathscinet  zmath  elib; Sb. Math., 203:6 (2012), 798–825  isi  scopus 3
2011
8. A. S. Belov, “On the extremal problem about the minimum of the free term of a nonnegative trigonometric polynomial”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011),  105–121  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 277, suppl. 1 (2012), 55–72  isi  scopus 2
2010
9. A. S. Belov, “On the Convergence in Mean of Trigonometric Fourier Series”, Mat. Zametki, 87:4 (2010),  492–501  mathnet  mathscinet  zmath; Math. Notes, 87:4 (2010), 466–474  isi  scopus
2007
10. A. S. Belov, “On Conditions of the Average Convergence (Upper Boundedness) of Trigonometric Series”, CMFD, 25 (2007),  8–20  mathnet  mathscinet  zmath; Journal of Mathematical Sciences, 155:1 (2008), 5–17  scopus 4
11. A. S. Belov, S. A. Telyakovskii, “Refinement of the Dirichlet–Jordan and Young's theorems on Fourier series of functions of bounded variation”, Mat. Sb., 198:6 (2007),  25–40  mathnet  mathscinet  zmath  elib; Sb. Math., 198:6 (2007), 777–791  isi  elib  scopus 13
2003
12. A. S. Belov, “Some estimates for non-negative trigonometric polynomials and properties of these polynomials”, Izv. RAN. Ser. Mat., 67:4 (2003),  3–20  mathnet  mathscinet  zmath; Izv. Math., 67:4 (2003), 637–653  isi  scopus 5
2002
13. A. S. Belov, “Remarks on Mean Convergence (Boundedness) of Partial Sums of Trigonometric Series”, Mat. Zametki, 71:6 (2002),  807–817  mathnet  mathscinet  zmath; Math. Notes, 71:6 (2002), 739–748  isi  scopus 16
2001
14. A. S. Belov, “A Condition for Convergence in Mean of Trigonometric Series”, Mat. Zametki, 69:3 (2001),  323–328  mathnet  mathscinet  zmath  elib; Math. Notes, 69:3 (2001), 293–297  isi 1
1998
15. A. S. Belov, “Use of complex analysis for deriving lower bounds for trigonometric polynomials”, Mat. Zametki, 63:6 (1998),  803–811  mathnet  mathscinet  zmath; Math. Notes, 63:6 (1998), 709–716  isi
16. A. S. Belov, “Order estimates of the modulus of variation of the sum of a lacunary trigonometric series”, Mat. Sb., 189:5 (1998),  3–20  mathnet  mathscinet  zmath; Sb. Math., 189:5 (1998), 639–656  isi  scopus
1996
17. A. S. Belov, S. V. Konyagin, “An estimate of the free term of a non-negative trigonometric polynomial with integer coefficients”, Izv. RAN. Ser. Mat., 60:6 (1996),  31–90  mathnet  mathscinet  zmath; Izv. Math., 60:6 (1996), 1123–1182  isi  scopus 7
18. A. S. Belov, S. V. Konyagin, “An estimate of the constant term of a nonnegative trigonometric polynomial with integer coefficients”, Mat. Zametki, 59:4 (1996),  627–629  mathnet  mathscinet  zmath; Math. Notes, 59:4 (1996), 451–453  isi 7
19. A. S. Belov, “Non-Fourier-Lebesgue trigonometric series with nonnegative partial sums”, Mat. Zametki, 59:1 (1996),  24–41  mathnet  mathscinet  zmath; Math. Notes, 59:1 (1996), 18–30  isi 2
1995
20. A. S. Belov, “New examples of nonnegative trigonometric polynomials with integer coefficients”, Fundam. Prikl. Mat., 1:3 (1995),  581–612  mathnet  mathscinet  zmath 1
21. A. S. Belov, “Some upper bounds of partial sums of a trigonometric series cannot be sharpened via lower bounds”, Mat. Zametki, 58:3 (1995),  447–451  mathnet  mathscinet  zmath; Math. Notes, 58:3 (1995), 984–989  isi
22. A. S. Belov, “Examples of trigonometric series with non-negative partial sums”, Mat. Sb., 186:4 (1995),  21–46  mathnet  mathscinet  zmath; Sb. Math., 186:4 (1995), 485–510  isi 13
1993
23. A. S. Belov, “On an extremal problem on the minimum of a trigonometric polynomial”, Izv. RAN. Ser. Mat., 57:6 (1993),  212–226  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 43:3 (1994), 593–606  isi 6
1992
24. A. S. Belov, “Local properties of some functions in the Hölder class”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 8,  13–20  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 36:8 (1992), 10–17 1
25. A. S. Belov, “Order estimates for best approximations and moduli of continuity of the sum of a trigonometric series with Quasi-monotone coefficients”, Mat. Zametki, 51:4 (1992),  132–134  mathnet  mathscinet  zmath; Math. Notes, 51:4 (1992), 417–419  isi 4
26. A. S. Belov, V. A. Rodin, “Norms of lacunary polynomials in functional spaces”, Mat. Zametki, 51:3 (1992),  137–139  mathnet  mathscinet  zmath; Math. Notes, 51:3 (1992), 318–320  isi 3
27. A. S. Belov, “On upper estimates of the partial sums of a trigonometric series in terms of lower estimates”, Mat. Sb., 183:11 (1992),  55–74  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 77:2 (1994), 313–330  isi 4
1991
28. A. S. Belov, “Partial sums of a trigonometric series with convex coefficients”, Mat. Zametki, 50:4 (1991),  21–27  mathnet  mathscinet  zmath; Math. Notes, 50:4 (1991), 1000–1004  isi 1
1990
29. A. S. Belov, “A problem of Salem and Zygmund on the smoothness of an analytic function that generated a Peano curve”, Mat. Sb., 181:8 (1990),  1048–1060  mathnet  mathscinet  zmath; Math. USSR-Sb., 70:2 (1991), 485–497  isi 8
1989
30. A. S. Belov, “Zeros of the sum of a trigonometric series with monotone coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 12,  3–8  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:12 (1989), 1–6 2
31. A. S. Belov, “On the coefficients of trigonometric cosine-series with non-negative partial sums”, Trudy Mat. Inst. Steklov., 190 (1989),  3–21  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 190 (1992), 1–18 5
1987
32. A. S. Belov, M. B. Ermolaev, “Two simple counterexamples relating to a problem of A. Rényi”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 3,  13–17  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 31:3 (1987), 16–21
33. A. S. Belov, “Coefficients of trigonometric series with nonnegative partial sums”, Mat. Zametki, 41:2 (1987),  152–158  mathnet  mathscinet  zmath; Math. Notes, 41:2 (1987), 88–92  isi 3
34. A. S. Belov, “Smoothness of the sum of a lacunary trigonometric series”, Sibirsk. Mat. Zh., 28:5 (1987),  32–41  mathnet  mathscinet  zmath; Siberian Math. J., 28:5 (1987), 717–724  isi
1985
35. A. S. Belov, “Power series and Peano curves”, Izv. Akad. Nauk SSSR Ser. Mat., 49:4 (1985),  675–704  mathnet  mathscinet  zmath; Math. USSR-Izv., 27:1 (1986), 1–26 5
1981
36. A. S. Belov, “The Szidon–Zygmund inequality in the theory of lacunary trigonometric series”, Mat. Zametki, 30:4 (1981),  501–515  mathnet  mathscinet  zmath; Math. Notes, 30:4 (1981), 741–749  isi 4
1977
37. A. S. Belov, “A remark on everywhere divergent trigonometric series”, Sibirsk. Mat. Zh., 18:1 (1977),  23–31  mathnet  mathscinet  zmath; Siberian Math. J., 18:1 (1977), 16–22  isi 1
1976
38. A. S. Belov, “Quasianalyticity of the sum of a lacunary series”, Mat. Sb. (N.S.), 99(141):3 (1976),  433–467  mathnet  mathscinet  zmath; Math. USSR-Sb., 28:3 (1976), 389–419  isi 1
1975
39. A. S. Belov, “The sum of a lacunary series”, Tr. Mosk. Mat. Obs., 33 (1975),  107–153  mathnet  mathscinet  zmath 2
1973
40. A. S. Belov, “Study of some trigonometric series”, Mat. Zametki, 13:4 (1973),  481–492  mathnet  mathscinet  zmath; Math. Notes, 13:4 (1973), 291–298 4
1971
41. A. S. Belov, “Everywhere divergent trigonometric series”, Mat. Sb. (N.S.), 85(127):2(6) (1971),  224–237  mathnet  mathscinet  zmath; Math. USSR-Sb., 14:2 (1971), 219–232 2

Presentations in Math-Net.Ru
1. Îöåíêà îñòàòî÷íîãî ÷ëåíà â àñèìïòîòè÷åñêîì ðåøåíèè îäíîé ýêñòðåìàëüíîé çàäà÷è íà ìíîæåñòâå íåîòðèöàòåëüíûõ òpèãîíîìåòpè÷åñêèõ ïîëèíîìîâ
A. S. Belov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 29, 2015 15:45

Organisations
 
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