Paramonov Petr Vladimirovich

Publications in Math-Net.Ru

1. Criteria of the $C^m$ approximability of functions on compact sets in $\mathbb{R}^N$ by solutions of homogeneous elliptic equations of the second order and related capacities
   
   Uspekhi Mat. Nauk, 79:5(479) (2024),  101–177
2. Explicit form of fundamental solutions to certain elliptic equations and associated $B$- and $C$-capacities
   
   Mat. Sb., 214:4 (2023),  114–131
3. On metric properties of $C$-capacities associated with solutions of second-order strongly elliptic equations in $\pmb{\mathbb R}^2$
   
   Mat. Sb., 213:6 (2022),  111–124
4. Criteria for $C^1$-approximability of functions on compact sets in ${\mathbb{R}}^N$, $N\geqslant 3$, by solutions of second-order homogeneous elliptic equations
   
   Izv. RAN. Ser. Mat., 85:3 (2021),  154–177
5. Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact subsets of $\mathbb R^2$
   
   Mat. Sb., 212:12 (2021),  77–94
6. On $C^m$-reflection of harmonic functions and $C^m$-approximation by harmonic polynomials
   
   Mat. Sb., 211:8 (2020),  102–113
7. Criteria for the individual $C^m$-approximability of functions on compact subsets of $\mathbb R^N$ by solutions of second-order homogeneous elliptic equations
   
   Mat. Sb., 209:6 (2018),  83–97
8. New Criteria for Uniform Approximability by Harmonic Functions on Compact Sets in $\mathbb R^2$
   
   Trudy Mat. Inst. Steklova, 298 (2017),  216–226
9. Tverberg's proof of the Jordan closed curve theorem
   
   Algebra i Analiz, 27:5 (2015),  207–220
10. Criteria for $C^m$-approximability by bianalytic functions on planar compact sets
    
    Mat. Sb., 206:2 (2015),  77–118
11. Runge- and Walsh-type extensions of smooth subharmonic functions on open Riemann surfaces
    
    Mat. Sb., 206:1 (2015),  5–28
12. Conditions for $C^m$-approximability of functions by solutions of elliptic equations
    
    Uspekhi Mat. Nauk, 67:6(408) (2012),  53–100
13. $C^m$-subharmonic extension of Runge type from closed to open subsets of $\mathbb R^n$
    
    Trudy Mat. Inst. Steklova, 279 (2012),  219–226
14. On $C^m$-Extension of Subharmonic Functions from Lyapunov–Dini Domains to $\mathbb R^N$
    
    Mat. Zametki, 89:1 (2011),  149–152
15. $C^1$-extension and $C^1$-reflection of subharmonic functions from Lyapunov-Dini domains into $\mathbb R^N$
    
    Mat. Sb., 199:12 (2008),  79–116
16. $C^m$-extension of subharmonic functions
    
    Izv. RAN. Ser. Mat., 69:6 (2005),  139–152
17. $C^1$-extension of subharmonic functions from closed Jordan domains in $\mathbb R^2$
    
    Izv. RAN. Ser. Mat., 68:6 (2004),  105–118
18. On uniform approximation by $n$-analytic functions on closed sets in $\mathbb C$
    
    Izv. RAN. Ser. Mat., 68:3 (2004),  15–28
19. On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions
    
    Mat. Sb., 193:10 (2002),  75–98
20. $C^1$-approximation and extension of subharmonic functions
    
    Mat. Sb., 192:4 (2001),  37–58
21. On Density Properties of the Riesz Capacities and the Analytic Capacity $\gamma _+$
    
    Trudy Mat. Inst. Steklova, 235 (2001),  143–156
22. Uniform and $C^1$-approximability of functions on compact subsets of $\mathbb R^2$ by solutions of second-order elliptic equations
    
    Mat. Sb., 190:2 (1999),  123–144
23. Approximation by meromorphic and entire solutions of elliptic equations in Banach spaces of distributions
    
    Mat. Sb., 189:4 (1998),  3–24
24. Some new criteria for uniform approximability of functions by rational fractions
    
    Mat. Sb., 186:9 (1995),  97–112
25. On approximation by harmonic polynomials in the $C^1$-norm on compact sets in $\mathbf R^2$
    
    Izv. RAN. Ser. Mat., 57:2 (1993),  113–124
26. Approximation by harmonic functions in the $C^1$-norm and harmonic $C^1$-content of compact subsets in $\mathbb R^n$
    
    Mat. Zametki, 53:4 (1993),  21–30
27. $C^m$-approximations by harmonic polynomials on compact sets in $\mathbb R^n$
    
    Mat. Sb., 184:2 (1993),  105–128
28. On harmonic approximation in the $C^1$-norm
    
    Mat. Sb., 181:10 (1990),  1341–1365
29. Control in scanning search for an immovable object
    
    Avtomat. i Telemekh., 1988, no. 11,  102–112
30. On the possibility of division and involution to a fractional power in the algebra of rational functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 51:2 (1987),  412–420
31. On a sufficient condition for approximability of a function by rational fractions
    
    Dokl. Akad. Nauk SSSR, 268:2 (1983),  292–295
32. On the interconnection of local and global approximations by holomorphic functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 46:1 (1982),  100–116


33. Evgenii Mikhailovich Chirka (on his 75th birthday)
    
    Uspekhi Mat. Nauk, 73:6(444) (2018),  204–210
34. Evgenii Prokof'evich Dolzhenko (on his 80th birthday)
    
    Uspekhi Mat. Nauk, 69:6(420) (2014),  192–196
35. Anatolii Georgievich Vitushkin (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 57:1(343) (2002),  179–184