Bloshanskii Igor Leionidovich

Publications in Math-Net.Ru

1. Equiconvergence of Expansions in Multiple Fourier Series and in Fourier Integrals with “Lacunary Sequences of Partial Sums”
   
   Mat. Zametki, 99:2 (2016),  186–200
2. Localization for Multiple Fourier Series with "$J_k$-Lacunary Sequence of Partial Sums" in Orlicz Classes
   
   Mat. Zametki, 95:1 (2014),  26–36
3. A weak generalized localization criterion for multiple Walsh–Fourier series with $J_k$-lacunary sequence of rectangular partial sums
   
   Trudy Mat. Inst. Steklova, 285 (2014),  41–63
4. Trigonometric Fourier Series and Walsh–Fourier Series with Lacunary Sequence of Partial Sums
   
   Mat. Zametki, 93:2 (2013),  305–309
5. Maximal Sets of Convergence and Unbounded Divergence of Multiple Fourier Series with $J_k$-Lacunary Sequence of Partial Sums
   
   Mat. Zametki, 86:6 (2009),  938–941
6. Weak Generalized Localization for Multiple Fourier Series Whose Rectangular Partial Sums Are Considered with Respect to Some Subsequence
   
   Mat. Zametki, 84:3 (2008),  334–347
7. A Weak Generalize Localization of Multiple Fourier Series of Continuous Functions with a Certain Module of Continuity
   
   CMFD, 25 (2007),  34–48
8. A Criterion for Weak Generalized Localization in the Class $L_1$ for Multiple Trigonometric Series from the Viewpoint of Isometric Transformations
   
   Mat. Zametki, 71:4 (2002),  508–521
9. Generalized localization for the double trigonometric Fourier series and the Walsh–Fourier series of functions in $L\log^+L\log^+\log^+L$
   
   Mat. Sb., 189:5 (1998),  21–46
10. Weak generalized localization for multiple Fourier–Walsh series of functions in $L_p$, $p\ge 1$
    
    Trudy Mat. Inst. Steklova, 214 (1997),  83–106
11. Generalized localization and equiconvergence of expansions in double trigonometric series and in the Fourier integral for functions from $L(\ln^+L)^2$
    
    Mat. Zametki, 60:3 (1996),  437–441
12. Generalized localization for the multiple Walsh–Fourier series of functions in $L_p$, $p\geqslant 1$
    
    Mat. Sb., 186:2 (1995),  21–36
13. Generalized and weak generalized localizations for multiple Fourier–Walsh series of functions in $L_p$, $p\geq 1$
    
    Dokl. Akad. Nauk, 332:5 (1993),  549–552
14. The exact Weyl multiplier for generalized localization on arbitrary open sets for three-dimensional Fourier series summable over rectangles
    
    Dokl. Akad. Nauk, 322:6 (1992),  1022–1027
15. On sequences of linear operators
    
    Trudy Mat. Inst. Steklov., 201 (1992),  43–78
16. The relation between structure and geometry of sets of unbounded divergence and a method of summation of multiple Fourier series of a function from $L_p$, $p>1$, equal to zero on a given set
    
    Dokl. Akad. Nauk SSSR, 321:6 (1991),  1133–1137
17. Weyl multipliers and the growth of partial sums of multiple trigonometric Fourier series summable over rectangles
    
    Dokl. Akad. Nauk SSSR, 321:4 (1991),  653–656
18. A multiple integral and a multiple Fourier series when the summation is by squares
    
    Sibirsk. Mat. Zh., 31:1 (1990),  39–52
19. The structure and geometry of maximal sets of convergence and unbounded divergence almost everywhere of multiple Fourier series of functions in $L_1$ equal to zero on a given set
    
    Izv. Akad. Nauk SSSR Ser. Mat., 53:4 (1989),  675–707
20. On some problems of the convergence of multiple Fourier series and Fourier integrals of functions in $L_1$ when the summation is by squares
    
    Dokl. Akad. Nauk SSSR, 294:1 (1987),  15–18
21. Maximum sets of convergence and unbounded divergence of multiple Fourier series of functions in $L_1$, equal to zero on a prescribed set
    
    Dokl. Akad. Nauk SSSR, 283:5 (1985),  1040–1044
22. Divergence almost everywhere of a Fourier series on a given set and convergence to zero outside of it
    
    Dokl. Akad. Nauk SSSR, 280:4 (1985),  777–780
23. Two criteria for weak generalized localization for multiple trigonometric Fourier series of functions in $L_p$, $p\geqslant1$
    
    Izv. Akad. Nauk SSSR Ser. Mat., 49:2 (1985),  243–282
24. On criteria for weak generalized localization in $N$-dimensional space
    
    Dokl. Akad. Nauk SSSR, 271:6 (1983),  1294–1298
25. On the geometry of measurable sets in $N$-dimensional space on which generalized localization holds for multiple trigonometric Fourier series of functions from $L_p$, $p>1$
    
    Mat. Sb. (N.S.), 121(163):1(5) (1983),  87–110
26. Generalized localization for multiple Fourier series and the geometry of measurable sets in $N$-dimensional space
    
    Dokl. Akad. Nauk SSSR, 266:4 (1982),  780–783
27. Generalized localization almost everywhere and convergence of double Fourier series
    
    Dokl. Akad. Nauk SSSR, 242:1 (1978),  11–13
28. On the convergence of double Fourier series of functions from $L_p$, $p>1$
    
    Mat. Zametki, 21:6 (1977),  777–788
29. Equiconvergence of expansions in a multiple Fourier series and Fourier integral for summation over squares
    
    Izv. Akad. Nauk SSSR Ser. Mat., 40:3 (1976),  685–705
30. Uniform convergence of expansions into a multiple trigonometric Fourier series or a Fourier integral
    
    Mat. Zametki, 18:2 (1975),  153–168