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
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)
2.
E. M. Chirka, “Capacities on a Compact Riemann Surface”, Proc. Steklov Inst. Math., 311 (2020), 36–77
3.
E. M. Chirka, “Meromorphic Interpolation on a Compact Riemann Surface”, Math. Notes, 106:1 (2019), 156–159
4.
E. M. Chirka, “Equilibrium Measures on a Compact Riemann Surface”, Proc. Steklov Inst. Math., 306 (2019), 296–334
5.
E. M. Chirka, “Orthogonal complex structures in $\mathbb{R}^4$”, Russian Math. Surveys, 73:1 (2018), 91–159
6.
E. M. Chirka, “Potentials on a compact Riemann surface”, Proc. Steklov Inst. Math., 301 (2018), 272–303
7.
E. M. Chirka, “On removable singularities of complex analytic sets”, Sb. Math., 208:7 (2017), 1073–1086
8.
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
9.
E. M. Chirka, “Removable singularities of holomorphic functions”, Sb. Math., 207:9 (2016), 1335–1343
10.
E. M. Chirka, “On the $\bar \partial $-Problem with $L^2$-Estimates on a Riemann Surface”, Proc. Steklov Inst. Math., 290 (2015), 264–276
11.
E. M. Chirka, “Holomorphic motions and uniformization of holomorphic families of Riemann surfaces”, Russian Math. Surveys, 67:6 (2012), 1091–1165
12.
E. M. Chirka, “Harnack inequalities, Kobayashi distances and holomorphic motions”, Proc. Steklov Inst. Math., 279 (2012), 194–206
13.
E. M. Chirka, Teichmüller spaces, Lekts. Kursy NOC, 15, Steklov Math. Inst., RAS, Moscow, 2010 , 152 pp.
14.
E. M. Chirka, “Some problems in complex analysis in several variables”, Uzbek. Mat. Zh., 2009, no. 1, 23–27
15.
E. Chirka, S. Ivashkovich, “On nonimbeddability of Hartogs figures into complex manifolds”, Bull. Soc. Math. France, 134:2 (2006), 261–267
E. M. Chirka, “On the propagation of holomorphic motions”, Dokl. Math., 70:1 (2004), 516–519
20.
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, “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, “Holomorphic fiberings of pseudoconcave graphs”, Dokl. Math., 63:2 (2001), 212–214
23.
E. M. Chirka, “The generalized Hartogs lemma and the nonlinear $\overline\partial$-equation”, Complex analysis in modern mathematics, FAZIS, Moscow, 2001, 19–31
24.
E. M. Chirka, “Levi and Trépreau Theorems for Continuous Graphs”, Proc. Steklov Inst. Math., 235 (2001), 261–276
25.
E. M. Chirka, B. Coupet, A. B. Sukhov, “On boundary regularity of analytic discs”, Michigan Math. J., 46:2 (1999), 271–279
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, P. Dolbeault, G. M. Khenkin, A. G. Vitushkin, Introduction to complex analysis, Springer-Verlag, Berlin, 1997 , vi+248 pp.
29.
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
30.
E. M. Chirka, “On the removable singularities for meromorphic mappings”, Publ. Mat., 40:1 (1996), 229–232
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
32.
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
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, “Radó's theorem for CR-mappings of hypersurfaces”, Russian Acad. Sci. Sb. Math., 82:1 (1995), 243–259
36.
M. M. Smirnov, E. M. Chirka, “Polynomial convexity of some sets in $C^n$”, Math. Notes, 50:5 (1991), 1151–1157
37.
E. M. Chirka, “Introduction to the geometry of $CR$-manifolds”, Russian Math. Surveys, 46:1 (1991), 95–197
38.
E. M. Chirka, “On extension of the pluripolar singular sets”, Proc. Steklov Inst. Math., 200 (1993), 369–373
39.
E. M. Chirka, Complex analytic sets, Mathematics and its Applications (Soviet Series), 46, Kluwer Academic Publishers Group, Dordrecht, 1989 , xx+372 pp.
40.
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
41.
S. I. Pinchuk, E. M. Chirka, “On the reflection principle for analytic sets”, Math. USSR-Izv., 32:1 (1989), 205–216
42.
A. S. Sadullaev, E. M. Chirka, “On continuation of functions with polar singularities”, Math. USSR-Sb., 60:2 (1988), 377–384
43.
E. M. Chirka, Complex analytic sets, Nauka, Moscow, 1985 , 272 pp.
44.
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
45.
E. M. Chirka, “Regularity of the boundaries of analytic sets”, Math. USSR-Sb., 45:3 (1983), 291–335
46.
E. M. Chirka, “On removable singularities of analytic sets”, Sov. Math. Dokl., 20 (1979), 965–968
47.
E. M. Chirka, “Regularization and $\overline\partial$-homotopy on a complex manifold”, Sov. Math. Dokl., 20 (1979), 73–76
48.
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
49.
E. M. Chirka, “Analytic continuation of functions of several complex variables and its applications”, Math. Notes, 24:3 (1978), 732–737
50.
E. M. Chirka, “Rational approximations of holomorphic functions with singularities of finite order”, Math. USSR-Sb., 29:1 (1976), 123–138
51.
E. M. Chirka, “Meromorphic continuation and the degree of rational approximations in $\mathbf C^N$”, Math. USSR-Sb., 28:4 (1976), 553–561
52.
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.
53.
G. M. Henkin, E. M. Chirka, “Boundary properties of holomorphic functions of several complex variables”, J. Soviet Math., 5:5 (1976), 612–687
54.
E. M. Chirka, “Analytic representation of $CR$-functions”, Math. USSR-Sb., 27:4 (1975), 526–553
55.
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
56.
E. M. Chirka, “Approximation by polynomials on star-shaped subsets of $C_n$”, Math. Notes, 14:1 (1973), 586–588
57.
E. M. Chirka, “The theorems of Lindelöf and Fatou in $\mathbf C^n$”, Math. USSR-Sb., 21:4 (1973), 619–639
58.
E. M. Chirka, “Approximation by holomorphic functions on smooth manifolds in $\mathbf C^n$”, Math. USSR-Sb., 7:1 (1969), 95–114
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, “Approximation of continuous functions by functions holomorphic on Jordan arcs in $C^n$”, Sov. Math. Dokl., 7 (1966), 336–338
62.
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
63.
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
64.
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.
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.
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
70.
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
71.
Kompleksnyi analiz v sovremennoi matematike, (k 80-letiyu so dnya rozhdeniya B. V. Shabata), eds. E. M. Chirka, Fazis, Moskva, 2001 , 272 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