J. J. Carmona, P. V. Paramonov, K. Yu. Fedorovskiy, “On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions”, Sb. Math., 193:10 (2002), 1469–1492
2.
K. Yu. Fedorovskiy, “Uniform $n$-analytic polynomial approximations of functions on rectifiable contours in $\mathbb C$”, Math. Notes, 59:4 (1996), 435–439
3.
M. Ya. Mazalov, P. V. Paramonov, K. Yu. Fedorovskiy, “Conditions for $C^m$-approximability of functions by solutions of elliptic equations”, Russian Math. Surveys, 67:6 (2012), 1023–1068
4.
P. V. Paramonov, K. Yu. Fedorovskiy, “Uniform and $C^1$-approximability of functions on compact subsets of $\mathbb R^2$ by solutions of second-order elliptic equations”, Sb. Math., 190:2 (1999), 285–307
5.
K. Yu. Fedorovskiy, “On Some Properties and Examples of Nevanlinna Domains”, Proc. Steklov Inst. Math., 253 (2006), 186–194
6.
J. J. Carmona, K. Yu. Fedorovskiy, “Conformal maps and uniform approximation by polyanalytic functions”, Selected topics in complex analysis, Oper. Theory Adv. Appl., 158, Birkhäuser, Basel, 2005, 109–130
A. D. Baranov, K. Yu. Fedorovskiy, “Boundary regularity of Nevanlinna domains and univalent functions in model subspaces”, Sb. Math., 202:12 (2011), 1723–1740
8.
Yurii Belov, Alexander Borichev, Konstantin Fedorovskiy, “Nevanlinna domains with large boundaries”, J. Funct. Anal., 277 (2019), 2617–2643
A. O. Bagapsh, K. Yu. Fedorovskiy, “$C^1$ Approximation of Functions by Solutions of Second-Order Elliptic Systems on Compact Sets in $\mathbb R^2$”, Proc. Steklov Inst. Math., 298 (2017), 35–50
10.
A. D. Baranov, J. J. Carmona, K. Yu. Fedorovskiy, “Density of certain polynomial modules”, J. Approx. Theory, 206 (2016), 1–16
J. J. Carmona, K. Yu. Fedorovskiy, “On the Dependence of Uniform Polyanalytic Polynomial Approximations on the Order of Polyanalyticity”, Math. Notes, 83:1 (2008), 31–36
12.
Proc. Steklov Inst. Math., 279 (2012), 215–229
13.
K. Yu. Fedorovskiy, “Approximation and Boundary Properties of Polyanalytic Functions”, Proc. Steklov Inst. Math., 235 (2001), 251–260
14.
E. Abakumov, A. Borichev, K. Fedorovskiy, “Chui conjecture in Bergman spaces”, Math. Ann., 379:3-4 (2021), 1507–1532
Yu. S. Belov, K. Yu. Fedorovskiy, “Model spaces containing univalent functions”, Russian Math. Surveys, 73:1 (2018), 172–174
17.
Konstantin Fedorovskiy, Petr Paramonov, “On $\mathop{\mathit{Lip}}^m$-reflection of harmonic functions over boundaries of simple Carathéodory domains”, Anal. Math. Phys., 9:3 (2019), 1031–1042
P. V. Paramonov, K. Yu. Fedorovskiy, “Explicit form of fundamental solutions to certain elliptic equations and associated $B$- and $C$-capacities”, Sb. Math., 214:4 (2023), 550–566
19.
A. O. Bagapsh, K. Yu. Fedorovskiy, “On energy functionals for second order elliptic systems with constant coefficients”, Ufa Math. J., 14:4 (2022), 14–25
20.
Evgeny Abakumov, Konstantin Fedorovskiy, “Analytic balayage of measures, Carathėodory domains, and badly approximable functions in $L^p$”, C.R. Acad. Sci. Paris, Ser.I, 356 (2018), 870–874
K. Yu. Fedorovskiy, “$C^m$-approximation by polyanalytic polynomials on compact subsets of the complex plane”, Complex Anal. Oper. Theory, 5:3 (2011), 671–681
K. Fedorovskiy, “Nevanlinna domains and uniform approximation by polyanalytic polynomial modules”, Functions Spaces, Theory and Applications, Fields Institute Communications, 87, eds. I. Binder, D. Kinzebulatov, J. Mashreghi, Springer, 2023, 207–227 (to appear)
K. Yu. Fedorovskiy, “Two problems on approximation by solutions of elliptic systems on compact sets in the plane”, Complex Var. Elliptic Equ., 63:7–8 (2018), 961–975
K. Yu. Fedorovskiy, “On the density of certain modules of polyanalytic type in spaces of integrable functions on the boundaries of simply connected domains”, Sb. Math., 207:1 (2016), 140–154
25.
K. Yu. Fedorovskii, Approksimatsiya polianaliticheskimi mnogochlenami, IPM im. M. V. Keldysha, M., 2016 , 197 pp.
A. Bagapsh, K. Fedorovskiy, M. Mazalov, “On Dirichlet problem and uniform approximation by solutions of second-order elliptic systems in $\mathbb R^2$”, Journal of Mathematical Analysis and Applications, 531 (2024), 127896 , 26 pp.
P. V. Paramonov, K. Yu. Fedorovskiy, “On $C^m$-reflection of harmonic functions and $C^m$-approximation by harmonic polynomials”, Sb. Math., 211:8 (2020), 1159–1170
29.
K. Yu. Fedorovskiy, “Uniform and $C^m$-approximation by polyanalytic polynomials”, Complex Analysis and Potential Theory, CRM Proceedings and Lecture Notes, 55, Amer. Math. Soc., Providence, RI, 2012, 323–329
A. O. Bagapsh, M. Ya. Mazalov, K. Yu. Fedorovskiy, “On the Dirichlet problem for not strongly elliptic second-order equations”, Russian Math. Surveys, 77:2 (2022), 372–374
31.
A. O. Bagapsh, K. Yu. Fedorovskiy, “$C^m$ Approximation of Functions by Solutions of Second-Order Elliptic Systems on Compact Sets in the Plane”, Proc. Steklov Inst. Math., 301 (2018), 1–10
32.
K. Yu. Fedorovskiy, “Carathéodory sets and analytic balayage of measures”, Sb. Math., 209:9 (2018), 1376–1389
33.
E. V. Borovik, K. Yu. Fedorovskiy, “On the Relationship Between Nevanlinna and Quadrature Domains”, Math. Notes, 99:3 (2016), 460–464
34.
K. Yu. Fedorovskiy, “Carathéodory domains and Rudin's converse of the maximum modulus principle”, Sb. Math., 206:1 (2015), 161–174
35.
M. Ya. Mazalov, P. V. Paramonov, K. Yu. Fedorovskiy, “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”, Russian Math. Surveys, 79:5 (2024), 847–917
36.
K. Fedorovskiy, “Uniform approximation by polynomial solutions of elliptic systems on boundaries of Carathéodory domains in $\mathbb R^2$”, Lobachevskii Journal of Mathematics, 44:4 (2023), 1299–1310
37.
E. V. Borovik, K. Yu. Fedorovskiy, “On $\mathrm{Lip}(\omega)$-continuity of the operator of harmonic reflection over boundaries of simple Carathėodory domains”, J. Math. Sci. (N.Y.), 251:2 (2020), 200–206; E. V. Borovik, K. Yu. Fedorovskii, “O $\mathrm{Lip}(\omega)$-nepreryvnosti operatora garmonicheskogo otrazheniya otnositelno granits prostykh oblastei Karateodori”, Issledovaniya po lineinym operatoram i teorii funktsii. 47, Zap. nauchn. sem. POMI, 480, POMI, SPb., 2019, 62–72
38.
P. V. Paramonov, K. Yu. Fedorovskiy, “Tverberg's proof of the Jordan closed curve theorem”, St. Petersburg Math. J., 27:5 (2016), 851–860
39.
K. Yu. Fedorovskiy, “On $\mathcal C^m$-approximability of functions by polynomial solutions of elliptic equations on compact plane sets”, St. Petersburg Math. J., 24:4 (2013), 677–689
40.
K. Yu. Fedorovskii, “O ravnomernoi approksimatsii funktsii na ploskikh kompaktakh resheniyami odnorodnykh ellipticheskikh uravnenii”, Vestnik MGTU im. N. E. Baumana. Seriya Estestvennye nauki, 2012, no. 3, 3–15
41.
K. Yu. Fedorovskiy, “Nevanlinna domains in problems of polyanalytic polynomial approximation”, Analysis and mathematical physics, Trends Math., Birkhäuser, Basel, 2009, 131–142
J. J. Carmona, K. Yu. Fedorovskiy, Carathéodory domains and uniform approximation by polyanalytic polynomials, Preprint Núm. 23/2002, Depatament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, 2002 , 17 pp.
44.
K. Yu. Fedorovski, “On uniform approximations by polyanalytic polynomials on compact subsets of the plane”, Ann. Univ. Mariae Curie-Skłodowska Sect. A, 53 (1999), 27–39
45.
J. J. Carmona, P. V. Paramonov, K. Yu. Fedorovski, On uniform approximation by polyanalytic polynomials and Dirichlet problem for bianalytic functions, Preprint nùm. 415, Centre de Recerca Matematica, Barcelona, 1999 , 19 pp.
46.
P. V. Paramonov, .K. Yu. Fedorovskii, $C^1$-priblizheniya funktsii polinomialnymi resheniyami odnorodnykh ellipticheskikh uravnenii vtorogo poryadka na kompaktakh v $\mathbb R^2$, MGU im. M. V. Lomonosova, Dep. v VINITI RAN, № 2965-V1996, 1996
47.
K. Yu. Fedorovskii, O nekotorykh dostatochnykh usloviyakh ravnomernoi priblizhaemosti funktsii polinomialnymi resheniyami uravneniya $(\partial/\partial x_1-\lambda\partial/\partial x_2)^nu=0$ na kompaktakh v $\mathbb R^2$, MGU im. M. V. Lomonosova, Dep. v VINITI RAN, № 3452-V1996, 1996
48.
P. V. Paramonov, K. Yu. Fedorovskii, “Ravnomernye i $C^1$-priblizheniya funktsii polinomialnymi resheniyami odnorodnykh ellipticheskikh uravnenii na ploskikh kompaktakh”, Kompleksnyi analiz, differentsialnye uravneniya, chislennye metody i prilozheniya. II. Kompleksnyi analiz, Izd-vo Instituta matem. s VTs RAN, Ufa, 1996, 122–125
49.
P. A. Borodin, K. Yu. Fedorovskiy, Mat. Sb. (to appear)
50.
B. S. Kashin, V. K. Beloshapka, V. I. Bogachev, P. A. Borodin, P. V. Paramonov, K. Yu. Fedorovskiy, A. A. Shkalikov, “Research activity on the Chair of Theory of Functions and Functional Analysis”, Moscow University Mathematics Bulletin, 80:1 (2025), 42–55
51.
A. I. Aptekarev, V. K. Beloshapka, V. I. Buslaev, V. V. Goryainov, V. N. Dubinin, V. A. Zorich, N. G. Kruzhilin, S. Yu. Nemirovski, S. Yu. Orevkov, P. V. Paramonov, S. I. Pinchuk, A. S. Sadullaev, A. G. Sergeev, S. P. Suetin, A. B. Sukhov, K. Yu. Fedorovskiy, A. K. Tsikh, “Evgenii Mikhailovich Chirka (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1137–1144
Аппроксимация суммами аналитических ядер K. Yu. Fedorovskiy XVII International Kazan school-conference "Function Theory, Its Applications and Related Topics" August 28, 2025
Approximation by simplest sums K. Yu. Fedorovskiy International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin October 28, 2024 16:40
Chui's conjecture in Bergman spaces K. Yu. Fedorovskiy Mathematical Colloquium of the Bauman Moscow State Technical University September 17, 2020 17:30
27.
Nevanlinna domains and related topics K. Yu. Fedorovskiy Mathematical Colloquium of the Bauman Moscow State Technical University October 3, 2019 17:30
