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, “Capacities on a Compact Riemann Surface”, Proc. Steklov Inst. Math., 311 (2020), 36–77
2019
2.
E. M. Chirka, “Meromorphic Interpolation on a Compact Riemann Surface”, Math. Notes, 106:1 (2019), 156–159 (cited: 1)
3.
E. M. Chirka, “Equilibrium Measures on a Compact Riemann Surface”, Proc. Steklov Inst. Math., 306 (2019), 296–334 (cited: 3)
2018
4.
E. M. Chirka, “Orthogonal complex structures in $\mathbb{R}^4$”, Russian Math. Surveys, 73:1 (2018), 91–159 (cited: 3) (cited: 3)
5.
E. M. Chirka, “Potentials on a compact Riemann surface”, Proc. Steklov Inst. Math., 301 (2018), 272–303 (cited: 6) (cited: 4)
6.
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
2017
7.
E. M. Chirka, “On removable singularities of complex analytic sets”, Sb. Math., 208:7 (2017), 1073–1086 (cited: 2) (cited: 2)
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 (cited: 12) (cited: 5)
9.
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, Tr. MIAN, 298, ed. E. M. Chirka, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2017 , 367 pp.
2016
10.
E. M. Chirka, “Removable singularities of holomorphic functions”, Sb. Math., 207:9 (2016), 1335–1343 (cited: 3) (cited: 3)
2015
11.
E. M. Chirka, “On the $\bar \partial $-Problem with $L^2$-Estimates on a Riemann Surface”, Proc. Steklov Inst. Math., 290 (2015), 264–276 (cited: 6) (cited: 1) (cited: 1) (cited: 4)
12.
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
2014
13.
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
2012
14.
E. M. Chirka, “Holomorphic motions and uniformization of holomorphic families of Riemann surfaces”, Russian Math. Surveys, 67:6 (2012), 1091–1165 (cited: 4) (cited: 3)
15.
E. M. Chirka, “Harnack inequalities, Kobayashi distances and holomorphic motions”, Proc. Steklov Inst. Math., 279 (2012), 194–206 (cited: 5)
2010
16.
E. M. Chirka, Teichmüller spaces, Lekts. Kursy NOC, 15, Steklov Math. Inst., RAS, Moscow, 2010 , 152 pp.
2009
17.
E. M. Chirka, “Some problems in complex analysis in several variables”, Uzbek. Mat. Zh., 2009, no. 1, 23–27
18.
E. M. Chirka, “Academician Azimbay Sadullaev, 60 years of birthday, 40 years in mathematics”, Uzbek. Mat. Zh., 2009, no. 1, 17–22
2006
19.
E. Chirka, S. Ivashkovich, “On nonimbeddability of Hartogs figures into complex manifolds”, Bull. Soc. Math. France, 134:2 (2006), 261–267 (cited: 6) (cited: 4) (cited: 4)
20.
E. M. Chirka, Riemann surfaces, Lekts. Kursy NOC, 1, Steklov Math. Inst., RAS, Moscow, 2006 , 106 pp.
21.
E. M. Chirka, “Variations of Hartogs' Theorem”, Proc. Steklov Inst. Math., 253 (2006), 212–220 (cited: 4) (cited: 7)
2005
22.
E. M. Chirka, C. Rea, “F. and M. Riesz theorem for CR functions”, Math. Z., 250:1 (2005), 1–6 (cited: 2) (cited: 3) (cited: 3)
2004
23.
E. M. Chirka, “On the propagation of holomorphic motions”, Dokl. Math., 70:1 (2004), 516–519 (cited: 11) (cited: 8)
24.
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
2003
25.
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
26.
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
2002
27.
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 (cited: 1)
28.
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
2001
29.
E. M. Chirka, “Holomorphic fiberings of pseudoconcave graphs”, Dokl. Math., 63:2 (2001), 212–214
30.
E. M. Chirka, “The generalized Hartogs lemma and the nonlinear $\overline\partial$-equation”, Complex analysis in modern mathematics, FAZIS, Moscow, 2001, 19–31
31.
E. M. Chirka, “Levi and Trépreau Theorems for Continuous Graphs”, Proc. Steklov Inst. Math., 235 (2001), 261–276
32.
Kompleksnyi analiz v sovremennoi matematike, (k 80-letiyu so dnya rozhdeniya B. V. Shabata), eds. E. M. Chirka, Fazis, Moskva, 2001 , 272 pp.
1999
33.
E. M. Chirka, B. Coupet, A. B. Sukhov, “On boundary regularity of analytic discs”, Michigan Math. J., 46:2 (1999), 271–279 (cited: 9) (cited: 11) (cited: 12)
1998
34.
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
35.
E. M. Chirka, C. Rea, “Differentiable CR mappings and CR orbits”, Duke Math. J., 94:2 (1998), 325–340 (cited: 9) (cited: 10) (cited: 11)
1997
36.
E. M. Chirka, P. Dolbeault, G. M. Khenkin, A. G. Vitushkin, Introduction to complex analysis, Springer-Verlag, Berlin, 1997 , vi+248 pp.
37.
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
1996
38.
E. M. Chirka, “On the removable singularities for meromorphic mappings”, Publ. Mat., 40:1 (1996), 229–232
1995
39.
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
40.
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
1994
41.
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 (cited: 25)
42.
E. M. Chirka, C. Rea, “Normal and tangent ranks of CR mappings”, Duke Math. J., 76:2 (1994), 417–431 (cited: 7) (cited: 11)
1995
43.
E. M. Chirka, “Radó's theorem for CR-mappings of hypersurfaces”, Russian Acad. Sci. Sb. Math., 82:1 (1995), 243–259 (cited: 5) (cited: 3)
1991
44.
M. M. Smirnov, E. M. Chirka, “Polynomial convexity of some sets in $C^n$”, Math. Notes, 50:5 (1991), 1151–1157 (cited: 4) (cited: 4)
45.
E. M. Chirka, “Introduction to the geometry of $CR$-manifolds”, Russian Math. Surveys, 46:1 (1991), 95–197 (cited: 20)
1993
46.
E. M. Chirka, “On extension of the pluripolar singular sets”, Proc. Steklov Inst. Math., 200 (1993), 369–373
1989
47.
E. M. Chirka, Complex analytic sets, Mathematics and its Applications (Soviet Series), 46, Kluwer Academic Publishers Group, Dordrecht, 1989 , xx+372 pp.
1988
48.
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
1989
49.
S. I. Pinchuk, E. M. Chirka, “On the reflection principle for analytic sets”, Math. USSR-Izv., 32:1 (1989), 205–216
1988
50.
A. S. Sadullaev, E. M. Chirka, “On continuation of functions with polar singularities”, Math. USSR-Sb., 60:2 (1988), 377–384 (cited: 8)
1985
51.
E. M. Chirka, Complex analytic sets, Nauka, Moscow, 1985 , 272 pp.
52.
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
1983
53.
E. M. Chirka, “Regularity of the boundaries of analytic sets”, Math. USSR-Sb., 45:3 (1983), 291–335 (cited: 29) (cited: 40)
1979
54.
E. M. Chirka, “On removable singularities of analytic sets”, Sov. Math. Dokl., 20 (1979), 965–968
55.
E. M. Chirka, “Regularization and $\overline\partial$-homotopy on a complex manifold”, Sov. Math. Dokl., 20 (1979), 73–76
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
1978
57.
E. M. Chirka, “Analytic continuation of functions of several complex variables and its applications”, Math. Notes, 24:3 (1978), 732–737
1976
58.
E. M. Chirka, “Rational approximations of holomorphic functions with singularities of finite order”, Math. USSR-Sb., 29:1 (1976), 123–138 (cited: 2) (cited: 2)
59.
E. M. Chirka, “Meromorphic continuation and the degree of rational approximations in $\mathbf C^N$”, Math. USSR-Sb., 28:4 (1976), 553–561 (cited: 2) (cited: 1)
60.
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.
61.
G. M. Henkin, E. M. Chirka, “Boundary properties of holomorphic functions of several complex variables”, J. Soviet Math., 5:5 (1976), 612–687 (cited: 33)
1975
62.
E. M. Chirka, “Analytic representation of $CR$-functions”, Math. USSR-Sb., 27:4 (1975), 526–553 (cited: 13)
1974
63.
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 (cited: 4)
1973
64.
E. M. Chirka, “Approximation by polynomials on star-shaped subsets of $C_n$”, Math. Notes, 14:1 (1973), 586–588 (cited: 1)
65.
E. M. Chirka, “The theorems of Lindelöf and Fatou in $\mathbf C^n$”, Math. USSR-Sb., 21:4 (1973), 619–639 (cited: 3)
1969
66.
E. M. Chirka, “Approximation by holomorphic functions on smooth manifolds in $\mathbf C^n$”, Math. USSR-Sb., 7:1 (1969), 95–114
1968
67.
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.
1966
68.
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
69.
E. M. Chirka, “Approximation of continuous functions by functions holomorphic on Jordan arcs in $C^n$”, Sov. Math. Dokl., 7 (1966), 336–338
Bipolar Green functions E. M. Chirka Seminar on Complex Analysis (Gonchar Seminar) October 21, 2019 17:00
5.
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
6.
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
9.
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, Tr. Mat. Inst. Steklova, 298, ed. E. M. Chirka, A. G. Sergeev, 2017, 367 с. http://mi.mathnet.ru/book1650