Terekhin Pavel Aleksandrovich

Publications in Math-Net.Ru

1. Complement property and frames in the phase retrieval problem
   
   Funktsional. Anal. i Prilozhen., 59:1 (2025),  18–28
2. Orthorecursive expansions generated by the Szegö kernel
   
   Izv. Saratov Univ. Math. Mech. Inform., 23:4 (2023),  443–455
3. On Quasibases and Bases of Symmetric Spaces Consisting of Nonnegative Functions
   
   Trudy Mat. Inst. Steklova, 319 (2022),  20–28
4. Representation of functions in symmetric spaces by dilations and translations
   
   Funktsional. Anal. i Prilozhen., 54:1 (2020),  58–62
5. On existence of frames based on the Szegö kernel in the Hardy space
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 2,  57–68
6. Basis properties of affine Walsh systems in symmetric spaces
   
   Izv. RAN. Ser. Mat., 82:3 (2018),  3–30
7. Rademacher Chaoses in Problems of Constructing Spline Affine Systems
   
   Mat. Zametki, 103:6 (2018),  863–874
8. Affine Walsh-type systems of functions in symmetric spaces
   
   Mat. Sb., 209:4 (2018),  3–25
9. Affine system of Walsh type. Completeness and minimality
   
   Izv. Saratov Univ. Math. Mech. Inform., 16:3 (2016),  247–256
10. Solution of Cauchy problem for equation first order via Haar functions
    
    Izv. Saratov Univ. Math. Mech. Inform., 16:2 (2016),  151–159
11. Affine Riesz bases and the dual function
    
    Mat. Sb., 207:9 (2016),  111–143
12. Affine Systems of Walsh Type. Orthogonalization and Completion
    
    Izv. Saratov Univ. Math. Mech. Inform., 14:4(1) (2014),  395–400
13. Affine Quantum Frames and Their Spectrum
    
    Izv. Saratov Univ. Math. Mech. Inform., 13:1(1) (2013),  32–36
14. On Bessel Systems in a Banach Space
    
    Mat. Zametki, 91:2 (2012),  285–296
15. Best approximation of functions in $L_p$ by polynomials on affine system
    
    Mat. Sb., 202:2 (2011),  131–158
16. Frames in Banach Spaces
    
    Funktsional. Anal. i Prilozhen., 44:3 (2010),  50–62
17. Linear algorithms of affine synthesis in the Lebesgue space $L^1[0,1]$
    
    Izv. RAN. Ser. Mat., 74:5 (2010),  115–144
18. Affine synthesis in the space $L^2(\mathbb R^d)$
    
    Izv. RAN. Ser. Mat., 73:1 (2009),  177–186
19. Projection description of bessel sequences
    
    Izv. Saratov Univ. Math. Mech. Inform., 9:1 (2009),  44–51
20. Banach frames in the affine synthesis problem
    
    Mat. Sb., 200:9 (2009),  127–146
21. On the components of summable functions represented by elements of families of wavelet functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 2,  53–59
22. Convergence of Biorthogonal Series in the System of Contractions and Translations of Functions in the Spaces $L^p[0,1]$
    
    Mat. Zametki, 83:5 (2008),  722–740
23. Basis conditions for systems of translates and dilates of functions in $L_p$-spaces
    
    Izv. Saratov Univ. Math. Mech. Inform., 7:1 (2007),  39–44
24. Multishifts in Hilbert Spaces
    
    Funktsional. Anal. i Prilozhen., 39:1 (2005),  69–81
25. Representation Systems and Projections of Bases
    
    Mat. Zametki, 75:6 (2004),  944–947
26. On Perturbations of the Haar System
    
    Mat. Zametki, 75:3 (2004),  466–469
27. Riesz Bases Generated by Contractions and Translations of a Function on an Interval
    
    Mat. Zametki, 72:4 (2002),  547–560
28. Inequalities for the components of summable functions and their representations by elements of a system of contractions and shifts
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 8,  74–81
29. Trigonometrical algebras
    
    Zap. Nauchn. Sem. POMI, 236 (1997),  183–191