Belov Aleksandr Sergeevich

Publications in Math-Net.Ru

1. On the Sum of a Trigonometric Sine Series with Monotone Coefficients
   
   Trudy Mat. Inst. Steklova, 319 (2022),  29–50
2. Functions with general monotone Fourier coefficients
   
   Uspekhi Mat. Nauk, 76:6(462) (2021),  3–70
3. On unimprovability of some theorems on convergence in mean of trigonometric series
   
   Fundam. Prikl. Mat., 22:1 (2018),  31–49
4. Bound of remainder term of asymptotic solution one extremal problem connected with nonnegative trigonometric polynomials
   
   Mat. Zametki, 100:2 (2016),  303–307
5. On the asymptotic solution of one extremal problem related to nonnegative trigonometric polynomials
   
   Fundam. Prikl. Mat., 18:5 (2013),  27–67
6. On positive definite piecewise linear functions and their applications
   
   Trudy Mat. Inst. Steklova, 280 (2013),  11–40
7. Some properties of the sum of the moduli of the terms of a grouped trigonometric series
   
   Mat. Sb., 203:6 (2012),  35–62
8. 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
9. On the Convergence in Mean of Trigonometric Fourier Series
   
   Mat. Zametki, 87:4 (2010),  492–501
10. On Conditions of the Average Convergence (Upper Boundedness) of Trigonometric Series
    
    CMFD, 25 (2007),  8–20
11. Refinement of the Dirichlet–Jordan and Young's theorems on Fourier series of functions of bounded variation
    
    Mat. Sb., 198:6 (2007),  25–40
12. Some estimates for non-negative trigonometric polynomials and properties of these polynomials
    
    Izv. RAN. Ser. Mat., 67:4 (2003),  3–20
13. Remarks on Mean Convergence (Boundedness) of Partial Sums of Trigonometric Series
    
    Mat. Zametki, 71:6 (2002),  807–817
14. A Condition for Convergence in Mean of Trigonometric Series
    
    Mat. Zametki, 69:3 (2001),  323–328
15. Use of complex analysis for deriving lower bounds for trigonometric polynomials
    
    Mat. Zametki, 63:6 (1998),  803–811
16. Order estimates of the modulus of variation of the sum of a lacunary trigonometric series
    
    Mat. Sb., 189:5 (1998),  3–20
17. An estimate of the free term of a non-negative trigonometric polynomial with integer coefficients
    
    Izv. RAN. Ser. Mat., 60:6 (1996),  31–90
18. An estimate of the constant term of a nonnegative trigonometric polynomial with integer coefficients
    
    Mat. Zametki, 59:4 (1996),  627–629
19. Non-Fourier-Lebesgue trigonometric series with nonnegative partial sums
    
    Mat. Zametki, 59:1 (1996),  24–41
20. New examples of nonnegative trigonometric polynomials with integer coefficients
    
    Fundam. Prikl. Mat., 1:3 (1995),  581–612
21. Some upper bounds of partial sums of a trigonometric series cannot be sharpened via lower bounds
    
    Mat. Zametki, 58:3 (1995),  447–451
22. Examples of trigonometric series with non-negative partial sums
    
    Mat. Sb., 186:4 (1995),  21–46
23. On an extremal problem on the minimum of a trigonometric polynomial
    
    Izv. RAN. Ser. Mat., 57:6 (1993),  212–226
24. Local properties of some functions in the Hölder class
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 8,  13–20
25. 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
26. Norms of lacunary polynomials in functional spaces
    
    Mat. Zametki, 51:3 (1992),  137–139
27. On upper estimates of the partial sums of a trigonometric series in terms of lower estimates
    
    Mat. Sb., 183:11 (1992),  55–74
28. Partial sums of a trigonometric series with convex coefficients
    
    Mat. Zametki, 50:4 (1991),  21–27
29. 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
30. Zeros of the sum of a trigonometric series with monotone coefficients
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 12,  3–8
31. On the coefficients of trigonometric cosine-series with non-negative partial sums
    
    Trudy Mat. Inst. Steklov., 190 (1989),  3–21
32. Two simple counterexamples relating to a problem of A. Rényi
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 3,  13–17
33. Coefficients of trigonometric series with nonnegative partial sums
    
    Mat. Zametki, 41:2 (1987),  152–158
34. Smoothness of the sum of a lacunary trigonometric series
    
    Sibirsk. Mat. Zh., 28:5 (1987),  32–41
35. Power series and Peano curves
    
    Izv. Akad. Nauk SSSR Ser. Mat., 49:4 (1985),  675–704
36. The Szidon–Zygmund inequality in the theory of lacunary trigonometric series
    
    Mat. Zametki, 30:4 (1981),  501–515
37. A remark on everywhere divergent trigonometric series
    
    Sibirsk. Mat. Zh., 18:1 (1977),  23–31
38. Quasianalyticity of the sum of a lacunary series
    
    Mat. Sb. (N.S.), 99(141):3 (1976),  433–467
39. The sum of a lacunary series
    
    Tr. Mosk. Mat. Obs., 33 (1975),  107–153
40. Study of some trigonometric series
    
    Mat. Zametki, 13:4 (1973),  481–492
41. Everywhere divergent trigonometric series
    
    Mat. Sb. (N.S.), 85(127):2(6) (1971),  224–237