M. Ya. Mazalov, P. V. Paramonov, K. Yu. Fedorovskiy, “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.
J. J. Carmona, K. Fedorovskiy, Carathéodory sets in the plane, Memoirs of the European Mathematical Society, 14, EMS Press, Berlin, 2024
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, “Explicit form of fundamental solutions to certain elliptic equations and associated $B$- and $C$-capacities”, Sb. Math., 214:4 (2023), 550–566
5.
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. 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
2022
7.
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
8.
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
2021
9.
E. Abakumov, A. Borichev, K. Fedorovskiy, “Chui conjecture in Bergman spaces”, Math. Ann., 379:3-4 (2021), 1507–1532
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
11.
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
2019
12.
Yurii Belov, Alexander Borichev, Konstantin Fedorovskiy, “Nevanlinna domains with large boundaries”, J. Funct. Anal., 277 (2019), 2617–2643
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
Yu. S. Belov, K. Yu. Fedorovskiy, “Model spaces containing univalent functions”, Russian Math. Surveys, 73:1 (2018), 172–174
15.
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
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
17.
K. Yu. Fedorovskiy, “Carathéodory sets and analytic balayage of measures”, Sb. Math., 209:9 (2018), 1376–1389
18.
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
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
2017
20.
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
21.
A. D. Baranov, K. Yu. Fedorovskiy, “On $L^1$-estimates of derivatives of univalent rational functions”, J. Anal. Math., 132 (2017), 63–80
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
23.
E. V. Borovik, K. Yu. Fedorovskiy, “On the Relationship Between Nevanlinna and Quadrature Domains”, Math. Notes, 99:3 (2016), 460–464
24.
A. D. Baranov, J. J. Carmona, K. Yu. Fedorovskiy, “Density of certain polynomial modules”, J. Approx. Theory, 206 (2016), 1–16
K. Yu. Fedorovskiy, “Carathéodory domains and Rudin's converse of the maximum modulus principle”, Sb. Math., 206:1 (2015), 161–174
2016
27.
P. V. Paramonov, K. Yu. Fedorovskiy, “Tverberg's proof of the Jordan closed curve theorem”, St. Petersburg Math. J., 27:5 (2016), 851–860
2013
28.
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
2012
29.
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
30.
Proc. Steklov Inst. Math., 279 (2012), 215–229
31.
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
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
2011
33.
A. D. Baranov, K. Yu. Fedorovskiy, “Boundary regularity of Nevanlinna domains and univalent functions in model subspaces”, Sb. Math., 202:12 (2011), 1723–1740
34.
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
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
2006
38.
K. Yu. Fedorovskiy, “On Some Properties and Examples of Nevanlinna Domains”, Proc. Steklov Inst. Math., 253 (2006), 186–194
2005
39.
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
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
41.
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.
2001
42.
K. Yu. Fedorovskiy, “Approximation and Boundary Properties of Polyanalytic Functions”, Proc. Steklov Inst. Math., 235 (2001), 251–260
1999
43.
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
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.
1996
46.
K. Yu. Fedorovskiy, “Uniform $n$-analytic polynomial approximations of functions on rectifiable contours in $\mathbb C$”, Math. Notes, 59:4 (1996), 435–439
47.
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
48.
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
49.
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
Presentations in Math-Net.Ru
1.
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
21.
Nevanlinna domains and related topics K. Yu. Fedorovskiy Mathematical Colloquium of the Bauman Moscow State Technical University October 3, 2019 17:30
2024
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