Lukomskii Sergei Feodorovich

Publications in Math-Net.Ru

1. Unitary extension principle on zero-dimensional locally compact groups
   
   Izv. Saratov Univ. Math. Mech. Inform., 23:3 (2023),  320–338
2. Numerical solution of linear differential equations with discontinuous coefficients and Henstock integral
   
   Izv. Saratov Univ. Math. Mech. Inform., 21:2 (2021),  151–161
3. On the Uniqueness Sets of Multiple Walsh Series for Convergence in Cubes
   
   Mat. Zametki, 109:3 (2021),  397–406
4. On binary B-splines of second order
   
   Izv. Saratov Univ. Math. Mech. Inform., 18:2 (2018),  172–182
5. Rademacher Chaoses in Problems of Constructing Spline Affine Systems
   
   Mat. Zametki, 103:6 (2018),  863–874
6. Fast discrete Fourier transform on local fields of positive characteristic
   
   Probl. Peredachi Inf., 53:2 (2017),  60–69
7. Shift systems in local fields of zero characteristic
   
   Zap. Nauchn. Sem. POMI, 455 (2017),  25–32
8. Orthogonal shift systems in the field of $p$-adic numbers
   
   Izv. Saratov Univ. Math. Mech. Inform., 16:3 (2016),  256–262
9. Solution of Cauchy problem for equation first order via Haar functions
   
   Izv. Saratov Univ. Math. Mech. Inform., 16:2 (2016),  151–159
10. Riesz multiresolution analysis on zero-dimensional groups
    
    Izv. RAN. Ser. Mat., 79:1 (2015),  153–184
11. On the Orthogonality of a System of Shifts of the Scaling Function on Vilenkin Groups
    
    Mat. Zametki, 98:2 (2015),  310–313
12. MRA on Local Fields of Positive Characteristic
    
    Izv. Saratov Univ. Math. Mech. Inform., 14:4(2) (2014),  511–518
13. Systems of Scales and Shifts in the Problem Still Image Compression
    
    Izv. Saratov Univ. Math. Mech. Inform., 14:4(2) (2014),  505–510
14. Matrix representation of dilation operator on the product of zero-dimensional locally compact Abelian groups
    
    Izv. Saratov Univ. Math. Mech. Inform., 13:2(1) (2013),  8–14
15. Nonorthogonal multiresolution analysis on zero-dimensional locally compact groups
    
    Izv. Saratov Univ. Math. Mech. Inform., 11:3(1) (2011),  25–32
16. Haar System on the Product of Groups of $p$-Adic Integers
    
    Mat. Zametki, 90:4 (2011),  541–557
17. Multiresolution analysis on zero-dimensional Abelian groups and wavelets bases
    
    Mat. Sb., 201:5 (2010),  41–64
18. Fourier series of functions with a non-summable derivative
    
    Izv. RAN. Ser. Mat., 73:2 (2009),  91–108
19. Haar series on compact zero-dimensional abelian group
    
    Izv. Saratov Univ. Math. Mech. Inform., 9:1 (2009),  14–19
20. $\Lambda(\Psi)$-Fluctuation and the Fourier-Walsh series of bounded functions
    
    Sibirsk. Mat. Zh., 48:4 (2007),  811–816
21. The Fourier–Walsh series of the functions absolutely continuous in the generalized restricted sense
    
    Sibirsk. Mat. Zh., 48:2 (2007),  341–352
22. On subsequences of partial sums of Fourier-Walsh series in Lorentz spaces
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 6,  48–55
23. Оn optimal choice of interpolation spline on triangular net
    
    Izv. Saratov Univ. Math. Mech. Inform., 5:1-2 (2005),  26–33
24. Convergence of Walsh Series in Near-$L^\infty$ Spaces
    
    Mat. Zametki, 70:6 (2001),  882–889
25. On the coefficients of lacunary trigonometric series and Rademacher series that converge to sets of measure zero
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 9,  37–47
26. A criterion for the almost-everywhere convergence of Fourier–Walsh square partial sums of integrable functions
    
    Mat. Sb., 186:7 (1995),  133–146
27. Divergence almost everywhere of square partial sums of Fourier–Walsh series of integrable functions
    
    Mat. Zametki, 56:1 (1994),  57–62
28. On certain classes of sets of uniqueness of multiple Walsh series
    
    Mat. Sb., 180:7 (1989),  937–945
29. Absolute convergence of multiple Walsh series
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 4,  34–36
30. Necessary conditions for sets of uniqueness of Walsh series with gaps
    
    Mat. Sb. (N.S.), 133(175):4(8) (1987),  469–480
31. Walsh series with gaps
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 12,  16–19
32. Singularities of carleman type for subsystems of a trigonometric system
    
    Mat. Zametki, 15:4 (1974),  515–520