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Funktsional'nyi Analiz i ego Prilozheniya, 1981, Volume 15, Issue 1, Pages 1–17 (Mi faa1688)  

This article is cited in 106 scientific papers (total in 107 papers)

Analytic classification of germs of conformal mappings (C,0)(C,0) with identity linear part

S. M. Voronin
References:
Received: 16.06.1980
English version:
Functional Analysis and Its Applications, 1981, Volume 15, Issue 1, Pages 1–13
DOI: https://doi.org/10.1007/BF01082373
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: S. M. Voronin, “Analytic classification of germs of conformal mappings (C,0)(C,0) with identity linear part”, Funktsional. Anal. i Prilozhen., 15:1 (1981), 1–17; Funct. Anal. Appl., 15:1 (1981), 1–13
Citation in format AMSBIB
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\by S.~M.~Voronin
\paper Analytic classification of germs of conformal mappings $(\mathbb{C},0)\to(\mathbb{C},0)$ with identity linear part
\jour Funktsional. Anal. i Prilozhen.
\yr 1981
\vol 15
\issue 1
\pages 1--17
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\transl
\jour Funct. Anal. Appl.
\yr 1981
\vol 15
\issue 1
\pages 1--13
\crossref{https://doi.org/10.1007/BF01082373}
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Linking options:
  • https://www.mathnet.ru/eng/faa1688
  • https://www.mathnet.ru/eng/faa/v15/i1/p1
  • This publication is cited in the following 107 articles:
    1. Kristian Uldall Kristiansen, Peter Szmolyan, “Analytic weak-stable manifolds in unfoldings of saddle-nodes*”, Nonlinearity, 38:2 (2025), 025019  crossref
    2. Matthieu Astorg, Fabrizio Bianchi, “Horn maps of semi-parabolic Hénon maps”, Math. Ann., 2025  crossref
    3. T. N. Bakiev, A. I. Bufetov, V. A. Vasilev, S. M. Voronin, A. A. Glutsyuk, A. S. Gorodetskii, A. V. Dukov, V. Yu. Kaloshin, A. V. Klimenko, V. V. Kozlov, S. B. Kuksin, S. K. Lando, V. S. Oganesyan, G. I. Olshanskii, S. Yu. Pilyugin, O. V. Pochinka, Ya. G. Sinai, A. S. Skripchenko, A. L. Skubachevskii, I. A. Taimanov, V. A. Timorin, V. M. Tikhomirov, D. V. Treschev, D. A. Filimonov, K. M. Khanin, Kh. Khedenmalm, A. G. Khovanskii, M. A. Tsfasman, A. I. Shafarevich, I. S. Shilin, S. Yu. Yakovenko, “K 80-letiyu Yuliya Sergeevicha Ilyashenko”, UMN, 80:2(482) (2025), 171–183  mathnet  crossref
    4. LOÏC TEYSSIER, “Spherical normal forms for germs of parabolic line biholomorphisms”, Ergod. Th. Dynam. Sys., 2025, 1  crossref
    5. Jean-Pierre Ramis, Handbook of Geometry and Topology of Singularities VI: Foliations, 2024, 383  crossref
    6. Laura Ortiz-Bobadilla, Ernesto Rosales-González, Sergei Voronin, Handbook of Geometry and Topology of Singularities V: Foliations, 2024, 99  crossref
    7. Yu Ilyashenko, “Dulac maps of real saddle-nodes”, Nonlinearity, 37:10 (2024), 105017  crossref
    8. Adrien Douady, “L'ensemble de Julia dépend-il continûment du polynôme ?”, Journées mathématiques X-UPS, 2024, 41  crossref
    9. Josias Reppekus, “Small divisors in discrete local holomorphic dynamics”, Boll Unione Mat Ital, 16:2 (2023), 173  crossref
    10. Christiane Rousseau, “The Equivalence Problem in Analytic Dynamics for 1-Resonance”, Arnold Math J., 9:1 (2023), 1  crossref
    11. Jonathan Godin, Christiane Rousseau, “Analytic classification of generic unfoldings of antiholomorphic parabolic fixed points of codimension 1”, Mosc. Math. J., 23:2 (2023), 169–203  mathnet
    12. Arnaud Chéritat, “Near Parabolic Renormalization for Unicritical Holomorphic Maps”, Arnold Math J., 8:2 (2022), 169  crossref
    13. PAVAO MARDEŠIĆ, MAJA RESMAN, “Realization of analytic moduli for parabolic Dulac germs”, Ergod. Th. Dynam. Sys., 42:1 (2022), 195  crossref
    14. Frank Loray, Frédéric Touzet, Sergei M. Voronin, “Two dimensional neighborhoods of elliptic curves: analytic classification in the torsion case”, Publ.math.IHES, 136:1 (2022), 149  crossref
    15. P. Mardešić, M. Resman, “Analytic moduli for parabolic Dulac germs”, Russian Math. Surveys, 76:3 (2021), 389–460  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    16. P. A. Shaikhullina, “O formalnoi normalnoi forme rostkov polugiperbolicheskikh otobrazhenii na ploskosti”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 38 (2021), 54–64  mathnet  crossref
    17. Clara Cufí-Cabré, Ernest Fontich, “Differentiable invariant manifolds of nilpotent parabolic points”, DCDS, 41:10 (2021), 4667  crossref
    18. Hiroyuki Inou, Sabyasachi Mukherjee, “Discontinuity of Straightening in Anti-holomorphic Dynamics: I”, Trans. Amer. Math. Soc., 374:9 (2021), 6445  crossref
    19. Jonas Nordqvist, “Wildly ramified power series with large multiplicity”, Journal of Number Theory, 225 (2021), 174  crossref
    20. P. A. Shaikhullina, “A realization theorem in the problem of a strict analytical classification of typical germs of semihyperbolic mappings”, Chelyab. fiz.-matem. zhurn., 5:1 (2020), 105–113  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
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