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Paramonov Petr Vladimirovich

Publications in Math-Net.Ru

  1. Research activity on the Chair of Theory of Functions and Functional Analysis

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 1,  39–50
  2. Criteria for $C^m$-approximability of functions by solutions of homogeneous second-order elliptic equations on compact subsets of $\mathbb{R}^N$ and related capacities

    Uspekhi Mat. Nauk, 79:5(479) (2024),  101–177
  3. Explicit form of fundamental solutions to certain elliptic equations and associated $B$- and $C$-capacities

    Mat. Sb., 214:4 (2023),  114–131
  4. 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
  5. 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
  6. 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
  7. On $C^m$-reflection of harmonic functions and $C^m$-approximation by harmonic polynomials

    Mat. Sb., 211:8 (2020),  102–113
  8. 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
  9. New Criteria for Uniform Approximability by Harmonic Functions on Compact Sets in $\mathbb R^2$

    Trudy Mat. Inst. Steklova, 298 (2017),  216–226
  10. Tverberg's proof of the Jordan closed curve theorem

    Algebra i Analiz, 27:5 (2015),  207–220
  11. Criteria for $C^m$-approximability by bianalytic functions on planar compact sets

    Mat. Sb., 206:2 (2015),  77–118
  12. Runge- and Walsh-type extensions of smooth subharmonic functions on open Riemann surfaces

    Mat. Sb., 206:1 (2015),  5–28
  13. Conditions for $C^m$-approximability of functions by solutions of elliptic equations

    Uspekhi Mat. Nauk, 67:6(408) (2012),  53–100
  14. $C^m$-subharmonic extension of Runge type from closed to open subsets of $\mathbb R^n$

    Trudy Mat. Inst. Steklova, 279 (2012),  219–226
  15. On $C^m$-Extension of Subharmonic Functions from Lyapunov–Dini Domains to $\mathbb R^N$

    Mat. Zametki, 89:1 (2011),  149–152
  16. $C^1$-extension and $C^1$-reflection of subharmonic functions from Lyapunov-Dini domains into $\mathbb R^N$

    Mat. Sb., 199:12 (2008),  79–116
  17. $C^m$-extension of subharmonic functions

    Izv. RAN. Ser. Mat., 69:6 (2005),  139–152
  18. $C^1$-extension of subharmonic functions from closed Jordan domains in $\mathbb R^2$

    Izv. RAN. Ser. Mat., 68:6 (2004),  105–118
  19. On uniform approximation by $n$-analytic functions on closed sets in $\mathbb C$

    Izv. RAN. Ser. Mat., 68:3 (2004),  15–28
  20. On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions

    Mat. Sb., 193:10 (2002),  75–98
  21. $C^1$-approximation and extension of subharmonic functions

    Mat. Sb., 192:4 (2001),  37–58
  22. On Density Properties of the Riesz Capacities and the Analytic Capacity $\gamma _+$

    Trudy Mat. Inst. Steklova, 235 (2001),  143–156
  23. 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
  24. Approximation by meromorphic and entire solutions of elliptic equations in Banach spaces of distributions

    Mat. Sb., 189:4 (1998),  3–24
  25. Some new criteria for uniform approximability of functions by rational fractions

    Mat. Sb., 186:9 (1995),  97–112
  26. 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
  27. 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
  28. $C^m$-approximations by harmonic polynomials on compact sets in $\mathbb R^n$

    Mat. Sb., 184:2 (1993),  105–128
  29. On harmonic approximation in the $C^1$-norm

    Mat. Sb., 181:10 (1990),  1341–1365
  30. Control in scanning search for an immovable object

    Avtomat. i Telemekh., 1988, no. 11,  102–112
  31. 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
  32. On a sufficient condition for approximability of a function by rational fractions

    Dokl. Akad. Nauk SSSR, 268:2 (1983),  292–295
  33. On the interconnection of local and global approximations by holomorphic functions

    Izv. Akad. Nauk SSSR Ser. Mat., 46:1 (1982),  100–116

  34. Evgenii Mikhailovich Chirka (on his 75th birthday)

    Uspekhi Mat. Nauk, 73:6(444) (2018),  204–210
  35. Evgenii Prokof'evich Dolzhenko (on his 80th birthday)

    Uspekhi Mat. Nauk, 69:6(420) (2014),  192–196
  36. Anatolii Georgievich Vitushkin (on his 70th birthday)

    Uspekhi Mat. Nauk, 57:1(343) (2002),  179–184


© Steklov Math. Inst. of RAS, 2025