Makarov Anton Aleksandrovich

Publications in Math-Net.Ru

1. Projection approximation functionals for minimal splines
   
   Zap. Nauchn. Sem. POMI, 542 (2025),  126–143
2. Lifting modifications of spline wavelets with unshifted and shifted supports
   
   Zap. Nauchn. Sem. POMI, 534 (2024),  107–127
3. On quasilinear interpolation by minimal splines
   
   Zap. Nauchn. Sem. POMI, 524 (2023),  94–111
4. A method for solving the Fredholm integral equation of the first kind
   
   Zap. Nauchn. Sem. POMI, 514 (2022),  113–125
5. On filter banks in spline wavelet transform on a non-uniform grid
   
   Sib. Zh. Vychisl. Mat., 24:3 (2021),  299–311
6. Construction of approximation functionals for minimal splines
   
   Zap. Nauchn. Sem. POMI, 504 (2021),  136–156
7. Matrix representation of filter banks corresponding to spline wavelets with shifted supports
   
   Zap. Nauchn. Sem. POMI, 496 (2020),  156–168
8. Quadratic minimal splines with multiple nodes
   
   Zap. Nauchn. Sem. POMI, 482 (2019),  220–230
9. Approximation by hyperbolic splines
   
   Zap. Nauchn. Sem. POMI, 472 (2018),  179–194
10. On two algorithms of wavelet decomposition for spaces of linear splines
    
    Zap. Nauchn. Sem. POMI, 463 (2017),  277–293
11. On visualization of some thin shells and their stress-strain state
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2016, no. 3,  18–31
12. On functionals dual to minimal splines
    
    Zap. Nauchn. Sem. POMI, 453 (2016),  198–218
13. Knot insertion and knot removal matrices for nonpolynomial splines
    
    Num. Meth. Prog., 13:1 (2012),  74–86
14. A wavelet refinement algorithms of the first order spline spaces
    
    Tr. SPIIRAN, 19 (2011),  203–220
15. The reconstruction and decomposition matrixes for linear splines
    
    Tr. SPIIRAN, 18 (2011),  215–236
16. Piecewise continuous spline wavelets on irregular grid
    
    Tr. SPIIRAN, 14 (2010),  103–131
17. On Asymptotical Limit Distribution for Kolmogorov–Smirnov Statistic in the Case of Composite Hypothesis for the Class of Projector Estimates of Unknown Parameter
    
    Teor. Veroyatnost. i Primenen., 32:2 (1987),  412–416