E. M. Chirka, “Variations of Hartogs' Theorem”, Complex analysis and applications, Collected papers, Trudy Mat. Inst. Steklova, 253, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 232–240; Proc. Steklov Inst. Math., 253 (2006), 212

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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 253, Pages 232–240 (Mi tm95)

This article is cited in 16 scientific papers (total in 17 papers)

Variations of Hartogs' Theorem

E. M. Chirka

Steklov Mathematical Institute, Russian Academy of Sciences

Full-text PDF (207 kB) Citations (17)

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Abstract: Hartogs' separate analyticity theorem is extended to functions holomorphic along holomorphic curves that form mutually transversal foliations of the domain of definition of these functions.

Received in October 2005

English version:
Proceedings of the Steklov Institute of Mathematics, 2006, Volume 253, Pages 212–220
DOI: https://doi.org/10.1134/S0081543806020179

Bibliographic databases:

Document Type: Article

UDC: 517.554

Language: Russian

Citation: E. M. Chirka, “Variations of Hartogs' Theorem”, Complex analysis and applications, Collected papers, Trudy Mat. Inst. Steklova, 253, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 232–240; Proc. Steklov Inst. Math., 253 (2006), 212–220

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tm95

https://www.mathnet.ru/eng/tm/v253/p232

This publication is cited in the following 17 articles:

Ye-Won Luke Cho, Springer Proceedings in Mathematics & Statistics, 481, Complex Geometric Analysis, 2025, 35
Ye-Won Luke Cho, “Localization of Forelli's theorem”, Complex Variables and Elliptic Equations, 69:2 (2024), 185
Ye-Won Luke Cho, “A New Plurisubharmonic Capacity and Functions Holomorphic Along Holomorphic Vector Fields”, J Geom Anal, 33:8 (2023)
Sadullaev A., “Holomorphic Continuation of a Formal Series Along Analytic Curves”, Complex Var. Elliptic Equ., 67:2 (2022), 274–283
Sadullaev A., “Real Analyticity of a C-Infinity-Germ At the Origin”, Ann. Pol. Math., 2022
A. S. Sadullaev, “Golomorfnoe prodolzhenie funktsii vdol fiksirovannogo napravleniya (obzor)”, Nauka — tekhnologiya — obrazovanie — matematika — meditsina, SMFN, 68, no. 1, Rossiiskii universitet druzhby narodov, M., 2022, 127–143
Ye-Won Luke Cho, Kang-Tae Kim, “Functions Holomorphic Along a $C^1$ Pencil of Holomorphic Discs”, J Geom Anal, 31:11 (2021), 10634
Krantz S.G., “On a Theorem of F. Forelli and a Result of Hartogs”, Complex Var. Elliptic Equ., 63:4 (2018), 591–597
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
Ninh Van Thu, “On the Automorphism Group of a Certain Infinite Type Domain in C-2”, J. Math. Anal. Appl., 448:2 (2017), 1042–1060
Joo J.-Ch., Kim K.-T., Schmalz G., “On the generalization of Forelli?s theorem”, Math. Ann., 365:3-4 (2016), 1187–1200
Jae-Cheon Joo, Kang-Tae Kim, Gerd Schmalz, “A generalization of Forelli's theorem”, Math. Ann., 355:3 (2013), 1171
E. M. Chirka, “Holomorphic motions and uniformization of holomorphic families of Riemann surfaces”, Russian Math. Surveys, 67:6 (2012), 1091–1165
Marigo R., “A Hartogs type theorem for separately CR functions”, Israel J. Math., 178:1 (2010), 107–112
Kim Kang-Tae, Poletsky E., Schmalz G., “Functions holomorphic along holomorphic vector fields”, J. Geom. Anal., 19:3 (2009), 655–666
Baracco L., Zampieri G., “Separate holomorphic extension of CR functions”, Manuscripta Math., 128:4 (2009), 411–419
Isaev A.V., Kruzhilin N.G., “Proper actions of Lie groups of dimension $n^2+1$ on $n$-dimensional complex manifolds”, Israel J. Math., 172:1 (2009), 193–252

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Труды Математического института имени В. А. Стеклова

Proceedings of the Steklov Institute of Mathematics

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