analytic continuation,
removable singularities,
boundary properties,
complex-analytic sets,
almost-complex manifolds,
pseudoholomorphic curves,
CR–theory,
plurisubharmonic functions,
approximation of functions in several complex variables.
Main publications:
E. M. Chirka, “Teoremy Lindelefa i Fatu v $\mathbf C^n$”, Matem. sb., 92(134):4(12) (1973), 622–644; Math. USSR-Sb., 21:4 (1973), 619–639
E. M. Chirka, “Regulyarnost granits analiticheskikh mnozhestv”, Matem. sb., 117(159):3 (1982), 291–336; Math. USSR-Sb., 45:3 (1983), 291–335
E. M. Chirka, Komplesknye analiticheskie mnozhestva, Nauka, M., 1985
E. M. Chirka, “Teoremy Levi i Trepro dlya nepreryvnykh grafikov”, Analiticheskie i geometricheskie voprosy kompleksnogo analiza, Sbornik statei. K 70-letiyu so dnya rozhdeniya akademika Anatoliya Georgievicha Vitushkina, Tr. MIAN, 235, Nauka, M., 2001, 272–287; Proc. Steklov Inst. Math., 235 (2001), 261–276
G. M. Henkin, E. M. Chirka, “Boundary properties of holomorphic functions of several complex variables”, J. Soviet Math., 5:5 (1976), 612–687
2.
E. M. Chirka, “Regularity of the boundaries of analytic sets”, Math. USSR-Sb., 45:3 (1983), 291–335
3.
E. M. Chirka, “Analytic representation of $CR$-functions”, Math. USSR-Sb., 27:4 (1975), 526–553
4.
E. M. Chirka, “Introduction to the geometry of $CR$-manifolds”, Russian Math. Surveys, 46:1 (1991), 95–197
5.
A. V. Komlov, R. V. Palvelev, S. P. Suetin, E. M. Chirka, “Hermite–Padé approximants for meromorphic functions on a compact Riemann surface”, Russian Math. Surveys, 72:4 (2017), 671–706
6.
E. M. Chirka, “The theorems of Lindelöf and Fatou in $\mathbf C^n$”, Math. USSR-Sb., 21:4 (1973), 619–639
7.
E. M. Chirka, “Potentials on a compact Riemann surface”, Proc. Steklov Inst. Math., 301 (2018), 272–303
8.
A. S. Sadullaev, E. M. Chirka, “On continuation of functions with polar singularities”, Math. USSR-Sb., 60:2 (1988), 377–384
9.
E. M. Chirka, “Variations of Hartogs' Theorem”, Proc. Steklov Inst. Math., 253 (2006), 212–220
10.
E. M. Chirka, “Approximation by holomorphic functions on smooth manifolds in $\mathbf C^n$”, Math. USSR-Sb., 7:1 (1969), 95–114
11.
E. M. Chirka, E. L. Stout, “Removable singularities in the boundary”, Contributions to complex analysis and analytic geometry, Aspects Math., E26, Vieweg, Braunschweig, 1994, 43–104
E. M. Chirka, “Expansions in series and the rate of rational approximations for holomorphic functions with analytic singularities”, Math. USSR-Sb., 22:2 (1974), 323–332
14.
E. M. Chirka, “Holomorphic motions and uniformization of holomorphic families of Riemann surfaces”, Russian Math. Surveys, 67:6 (2012), 1091–1165
15.
E. M. Chirka, “Capacities on a Compact Riemann Surface”, Proc. Steklov Inst. Math., 311 (2020), 36–77
16.
E. M. Chirka, “Equilibrium Measures on a Compact Riemann Surface”, Proc. Steklov Inst. Math., 306 (2019), 296–334
17.
E. M. Chirka, Riemann surfaces, Lekts. Kursy NOC, 1, Steklov Math. Inst., RAS, Moscow, 2006 , 106 pp.
18.
E. Chirka, J.-P. Rosay, “Remarks on the proof of a generalized Hartogs lemma”, Complex analysis and applications (Warsaw, 1997), Ann. Polon. Math., 70, 1998, 43–47
E. M. Chirka, “On the removal of subharmonic singularities of plurisubharmonic functions”, Proceedings of Conference on Complex Analysis (Bielsko-Biała, 2001), Ann. Polon. Math., 80, 2003, 113–116
E. M. Chirka, Stout Edgar Lee, “A Kontinuitätssatz”, Topics in complex analysis (Warsaw, 1992), Banach Center Publ., 31, Polish Acad. Sci., Warsaw, 1995, 143–150
M. M. Smirnov, E. M. Chirka, “Polynomial convexity of some sets in $C^n$”, Math. Notes, 50:5 (1991), 1151–1157
39.
S. I. Pinchuk, E. M. Chirka, “On the reflection principle for analytic sets”, Math. USSR-Izv., 32:1 (1989), 205–216
40.
E. M. Chirka, “A generalization of Radó's theorem”, Proceedings of Conference on Complex Analysis (Bielsko-Biała, 2001), Ann. Polon. Math., 80, 2003, 109–112
E. M. Chirka, “On extension of the pluripolar singular sets”, Proc. Steklov Inst. Math., 200 (1993), 369–373
42.
E. M. Chirka, “On removable singularities of analytic sets”, Sov. Math. Dokl., 20 (1979), 965–968
43.
E. M. Chirka, Teichmüller spaces, Lekts. Kursy NOC, 15, Steklov Math. Inst., RAS, Moscow, 2010 , 152 pp.
44.
E. M. Chirka, “On the propagation of holomorphic motions”, Dokl. Math., 70:1 (2004), 516–519
45.
E. M. Chirka, “Holomorphic fiberings of pseudoconcave graphs”, Dokl. Math., 63:2 (2001), 212–214
46.
E. M. Chirka, “Regularization and $\overline\partial$-homotopy on a complex manifold”, Sov. Math. Dokl., 20 (1979), 73–76
47.
E. M. Chirka, “Some problems in complex analysis in several variables”, Uzbek. Mat. Zh., 2009, no. 1, 23–27
48.
E. M. Chirka, “The generalized Hartogs lemma and the nonlinear $\overline\partial$-equation”, Complex analysis in modern mathematics, FAZIS, Moscow, 2001, 19–31
49.
E. M. Chirka, P. Dolbeault, G. M. Khenkin, A. G. Vitushkin, Introduction to complex analysis, Springer-Verlag, Berlin, 1997 , vi+248 pp.
50.
E. M. Chirka, “On the uniform approximation on totally real sets in $\mathbf C^n$”, Complex methods in approximation theory (Almería, 1995), Monogr. Cienc. Tecnol., 2, Univ. Almería, Almería, 1997, 23–31
51.
E. M. Chirka, N. V. Shcherbina, “Pseudoconvexity of rigid domains and foliations of hulls of graphs”, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 22:4 (1995), 707–735
52.
E. M. Chirka, Complex analytic sets, Mathematics and its Applications (Soviet Series), 46, Kluwer Academic Publishers Group, Dordrecht, 1989 , xx+372 pp.
53.
E. M. Chirka, “Cauchy-Riemann manifolds. Fundamental definitions and some results”, Complex analysis and mathematical physics (Divnogorsk, 1987), Akad. Nauk SSSR Sibirsk. Otdel. Inst. Fiz., Krasnoyarsk, 1988, 125–144
54.
E. M. Chirka, Complex analytic sets, Nauka, Moscow, 1985 , 272 pp.
55.
E. M. Chirka, “Complex analytic sets”, Complex analysis—several variables – 1, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 7, VINITI, Moscow, 1985, 125–166
56.
E. M. Chirka, “Potoki i nekotorye ikh primeneniya”, Prilozhenie k knige: R. Kharvi, Golomorfnye tsepi i ikh granitsy, perevod s angl., Novoe v zarubezhnoi nauke. Matematika, 15, Mir, Moskva, 1979, 122–154
57.
E. M. Chirka, “Analytic continuation of functions of several complex variables and its applications”, Math. Notes, 24:3 (1978), 732–737
58.
E. M. Chirka, Analiticheskoe prodolzhenie funktsii mnogikh kompleksnykh peremennykh, Diss. … doktora fiz.-matem. nauk, Matematicheskii institut im. V. A. Steklova AN SSSR, Moskva, 1976 , 246 pp.
59.
E. M. Chirka, Priblizhenie golomorfnymi funktsiyami v $\mathbb C^n$, Diss. … kand. fiz.-matem. nauk, Moskovskii gosudarstvennyi universitet imeni M. V. Lomonosova, Moskva, 1968 , 105 pp.
60.
E. M. Čirka, “Approximating continuous functions by holomorphic ones on Jordan arcs in $C^n$”, Contemporary Problems in Theory Anal Functions, Internat. Conf. (Erevan, 1965), Nauka, Moscow, 1966, 324–326
61.
E. M. Chirka, Potential Theory and Complex Analysis on a Compact Riemann Surface, Trudy Mat. Inst. Steklova, 319, Steklov Math. Inst., Moscow, 2022 (to appear)
62.
A. A. Bolibrukh, A. G. Vitushkin, V. S. Vladimirov, E. F. Mishchenko, S. P. Novikov, Yu. S. Osipov, A. G. Sergeev, P. L. Ul'yanov, L. D. Faddeev, E. M. Chirka, “Andrei Aleksandrovich Gonchar (on his 70th birthday)”, Russian Math. Surveys, 57:1 (2002), 191–198
63.
V. K. Beloshapka, V. S. Vladimirov, A. A. Gonchar, E. P. Dolzhenko, N. G. Kruzhilin, V. V. Napalkov, P. V. Paramonov, A. G. Sergeev, P. L. Ul'yanov, E. M. Chirka, “Anatolii Georgievich Vitushkin (on his 70th birthday)”, Russian Math. Surveys, 57:1 (2002), 183–190
64.
A. I. Aptekarev, V. M. Buchstaber, V. A. Vassiliev, M. L. Gromov, Yu. S. Ilyashenko, B. S. Kashin, V. M. Keselman, V. V. Kozlov, M. L. Kontsevich, I. M. Krichever, N. G. Kruzhilin, S. K. Lando, Yu. I. Manin, G. A. Margulis, S. Yu. Nemirovski, S. P. Novikov, Yu. G. Reshetnyak, Ya. G. Sinai, S. P. Suetin, D. V. Treschev, D. B. Fuchs, A. G. Khovanskii, E. M. Chirka, A. S. Schwarz, A. N. Shiryaev, “Vladimir Antonovich Zorich (on his 80th birthday)”, Russian Math. Surveys, 73:5 (2018), 935–939
65.
V. M. Buchstaber, V. N. Dubinin, V. A. Kaliaguine, B. S. Kashin, V. N. Sorokin, S. P. Suetin, D. N. Tulyakov, B. N. Chetverushkin, E. M. Chirka, A. A. Shkalikov, “Alexander Ivanovich Aptekarev (on his 60th birthday)”, Russian Math. Surveys, 70:5 (2015), 965–973
66.
F. G. Avkhadiev, V. A. Botvinnik, S. K. Vodop'yanov, M. Vuorinen, V. M. Gol'dstein, V. V. Goryainov, A. A. Grigor'yan, V. N. Dubinin, I. V. Zhuravlev, V. A. Zorich, V. M. Kesel'man, V. A. Klyachin, T. G. Latfullin, A. V. Loboda, A. G. Losev, O. Martio, V. I. Pelikh, S. I. Pinchuk, Yu. G. Reshetnyak, A. S. Romanov, A. G. Sergeev, V. G. Tkachev, E. M. Chirka, “Vladimir Mikhailovich Miklyukov (obituary)”, Russian Math. Surveys, 69:3 (2014), 565–568
67.
E. M. Chirka, “Academician Azimbay Sadullaev, 60 years of birthday, 40 years in mathematics”, Uzbek. Mat. Zh., 2009, no. 1, 17–22
68.
E. Chirka, J.-P. Rosay, “A correction to and a remark on our paper: “Remarks on the proof of a generalized Hartogs lemma” [Ann. Polon. Math. 70 (1998), 43–47]”, Ann. Polon. Math., 83:3 (2004), 289–290
69.
Kompleksnyi analiz v sovremennoi matematike, (k 80-letiyu so dnya rozhdeniya B. V. Shabata), eds. E. M. Chirka, Fazis, Moskva, 2001 , 272 pp.
70.
F. A. Bogomolov, S. O. Gorchinskiy, A. B. Zheglov, V. V. Nikulin, D. O. Orlov, D. V. Osipov, A. N. Parshin, V. L. Popov, V. V. Przyjalkowski, Yu. G. Prokhorov, M. Reid, A. G. Sergeev, D. V. Treschev, A. K. Tsikh, I. A. Cheltsov, E. M. Chirka, “Viktor Stepanovich Kulikov (on his 70th birthday)”, Russian Math. Surveys, 77:3 (2022), 555–557
71.
Kompleksnyi analiz i ego prilozheniya, Sbornik statei. K 100-letiyu so dnya rozhdeniya Borisa Vladimirovicha Shabata, 85-letiyu so dnya rozhdeniya Anatoliya Georgievicha Vitushkina i 85-letiyu so dnya rozhdeniya Andreya Aleksandrovicha Gonchara, Trudy MIAN, 298, ed. E. M. Chirka, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2017 , 367 pp.
Presentations in Math-Net.Ru
1.
Отдел комплексного анализа E. M. Chirka, S. P. Suetin Conference MIAN-90, dedicated to the 90th anniversary of Steklov Mathematical Institute May 13, 2024 15:00
The Neumann problem on a Riemann surface E. M. Chirka Conference on Complex Analysis and Mathematical Physics dedicated to the 75th anniversary of A. G. Sergeev March 11, 2024 16:00
4.
External Green's function E. M. Chirka Seminar on Complex Analysis (Gonchar Seminar) April 24, 2023 17:00
TBA E. M. Chirka Seminar on Complex Analysis (Gonchar Seminar) December 5, 2022 17:00
9.
Two-sheeted branched coverings E. M. Chirka International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin October 31, 2022 16:00
Bipolar Green functions E. M. Chirka Seminar on Complex Analysis (Gonchar Seminar) October 21, 2019 17:00
17.
Емкости на компактной римановой поверхности E. M. Chirka International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics" September 16, 2019 11:55
18.
Potentials on a compact Riemann surface E. M. Chirka The 27th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications August 12, 2019 12:00
Green's symmetrization E. M. Chirka Seminar on Complex Analysis (Gonchar Seminar) April 15, 2019 17:00
21.
On the potential theory on a Riemann surface E. M. Chirka Extended meeting of the seminar "Complex problems of mathematical physics" dedicated to the 70th anniversary of Armen Sergeev March 11, 2019 16:50
On a theorem of Nishino E. M. Chirka International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin October 9, 2018 15:50
Memorial meeting (conference room 9th floor) E. M. Chirka, S. Yu. Orevkov, A. G. Sergeev, V. M. Buchstaber, M. S. Mel'nikov, A. B. Zhizhchenko International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin October 10, 2016 18:00
Complex analysis and its applications, Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar, Trudy Mat. Inst. Steklova, 298, ed. E. M. Chirka, A. G. Sergeev, 2017, 367 с. http://mi.mathnet.ru/book1650