Zastavnyi Viktor Petrovich

Publications in Math-Net.Ru

1. On the positive definiteness of functions of the form $h(\rho(x))+\beta\rho(x)h'(\rho(x))$
   
   Mat. Zametki, 117:6 (2025),  898–909
2. On extremal functions in inequalities for entire functions
   
   Mat. Zametki, 116:1 (2024),  67–76
3. Analog of Schoenberg's Theorem for $a$-Conditionally Negative Definite Matrix-Valued Kernels
   
   Mat. Zametki, 114:1 (2023),  81–93
4. On extremal trigonometric polynomials
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 29:4 (2023),  70–91
5. Inequalities for Positive Definite Functions
   
   Mat. Zametki, 108:6 (2020),  823–836
6. A Generalization of Schep's Theorem on the Positive Definiteness of a Piecewise Linear Function
   
   Mat. Zametki, 107:6 (2020),  873–887
7. Some Problems Related to Completely Monotone Positive Definite Functions
   
   Mat. Zametki, 106:2 (2019),  222–240
8. Positive Definiteness of Complex Piecewise Linear Functions and Some of Its Applications
   
   Mat. Zametki, 103:4 (2018),  519–535
9. On the Positive Definiteness of Some Functions Related to the Schoenberg Problem
   
   Mat. Zametki, 102:3 (2017),  355–368
10. Positive Definiteness of a Family of Functions
    
    Mat. Zametki, 101:2 (2017),  215–225
11. Power wight integrability for sums of moduli of blocks from trigonometric series
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017),  125–133
12. Positive definite functions and sharp inequalities for periodic functions
    
    Ural Math. J., 3:2 (2017),  82–99
13. Asymptotics of Series Arising from the Approximation of Periodic Functions by Riesz and Cesàro Means
    
    Mat. Zametki, 93:1 (2013),  45–55
14. Approximation of Classes of Convolutions by Linear Operators of Special Form
    
    Mat. Zametki, 90:3 (2011),  351–361
15. Positive Definite Functions and Spectral Properties of the Schrödinger Operator with Point Interactions
    
    Mat. Zametki, 90:1 (2011),  151–156
16. Estimates for sums of moduli of blocks from trigonometric Fourier series
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  166–179
17. On Series Arising from the Approximation of Periodic Differentiable Functions by Poisson Integrals
    
    Mat. Zametki, 86:4 (2009),  497–511
18. On Zeros of Entire Functions of Special Form
    
    Mat. Zametki, 83:1 (2008),  24–31
19. A Theorem on the Zeros of Entire Functions and Its Application
    
    Mat. Zametki, 75:2 (2004),  192–207
20. Positive-definite splines of special form
    
    Mat. Sb., 193:12 (2002),  41–68
21. Positive-definite functions that depend on a norm
    
    Dokl. Akad. Nauk, 325:5 (1992),  901–903


22. Valerii Vladimirovich Volchkov (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 80:2(482) (2025),  184–189