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Mathematics of the USSR-Sbornik, 1989, Volume 62, Issue 2, Pages 541–550
DOI: https://doi.org/10.1070/SM1989v062n02ABEH003253
(Mi sm3025)
 

This article is cited in 34 scientific papers (total in 34 papers)

Asymptotically holomorphic functions and their applications

S. I. Pinchuk, S. V. Khasanov
References:
Abstract: This paper considers an extension of the class of holomorphic functions. Analogues of classical theorems on holomorphic functions are proved for functions in the wider class. As an application, generalizations of a number of properties of holomorphic functions are obtained.
Bibliography: 12 titles.
Received: 25.06.1986
Bibliographic databases:
UDC: 517.55
MSC: Primary 32D99; Secondary 32H99, 32A40
Language: English
Original paper language: Russian
Citation: S. I. Pinchuk, S. V. Khasanov, “Asymptotically holomorphic functions and their applications”, Math. USSR-Sb., 62:2 (1989), 541–550
Citation in format AMSBIB
\Bibitem{PinKha87}
\by S.~I.~Pinchuk, S.~V.~Khasanov
\paper Asymptotically holomorphic functions and their applications
\jour Math. USSR-Sb.
\yr 1989
\vol 62
\issue 2
\pages 541--550
\mathnet{http://mi.mathnet.ru/eng/sm3025}
\crossref{https://doi.org/10.1070/SM1989v062n02ABEH003253}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=933702}
\zmath{https://zbmath.org/?q=an:0663.32006|0639.32005}
Linking options:
  • https://www.mathnet.ru/eng/sm3025
  • https://doi.org/10.1070/SM1989v062n02ABEH003253
  • https://www.mathnet.ru/eng/sm/v176/i4/p546
  • This publication is cited in the following 34 articles:
    1. A. B. Sukhov, “On holomorphic mappings of strictly pseudoconvex domains”, Sb. Math., 213:11 (2022), 1597–1619  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. Ufa Math. J., 14:3 (2022), 127–140  mathnet  crossref  mathscinet
    3. Alexandre Sukhov, “On the Fatou theorem for ∂̄J-subsolutions in wedges”, Proceedings of the Edinburgh Mathematical Society, 65:3 (2022), 760  crossref
    4. A. B. Sukhov, “Holomorphic mappings between domains with low boundary regularity”, Izv. Math., 85:3 (2021), 536–546  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    5. Hidetaka Hamada, Mihai Iancu, Gabriela Kohr, “Spiralshapelike mappings in several complex variables”, Annali di Matematica, 199:6 (2020), 2181  crossref
    6. S. Pinchuk, R. Shafikov, A. Sukhov, “Some Aspects of Holomorphic Mappings: A Survey”, Proc. Steklov Inst. Math., 298 (2017), 212–247  mathnet  crossref  crossref  isi  elib
    7. Krantz S., “Harmonic and Complex Analysis in Several Variables”, Harmonic and Complex Analysis in Several Variables, Springer Monographs in Mathematics, Springer, 2017, 1–424  crossref  mathscinet  isi
    8. S. Berhanu, Ming Xiao, “On the regularity of CR mappings between CR manifolds of hypersurface type”, Trans. Amer. Math. Soc., 369:9 (2017), 6073  crossref
    9. Hill C.D., Nacinovich M., “Non Completely Solvable Systems of Complex First Order PDE'S”, Rend. Semin. Mat. Univ. Padova, 129 (2013), 129–169  crossref  mathscinet  zmath  isi
    10. Bernard Coupet, Hervé Gaussier, Alexandre Sukhov, “Some aspects of analysis on almost complex manifolds with boundary”, Journal of Mathematical Sciences (New York), 154:6 (2008), 923  crossref  mathscinet  zmath  elib
    11. François Berteloot, “Méthodes de changement d'échelles en analyse complexe”, Annales de la Faculté des sciences de Toulouse : Mathématiques, 15:3 (2008), 427  crossref
    12. Hervé Gaussier, Alexandre Sukhov, “On the geometry of model almost complex manifolds with boundary”, Math Z, 254:3 (2006), 567  crossref  mathscinet  zmath  isi
    13. Seshadri H. Verma K., “On Isometries of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains”, Ann. Scuola Norm. Super. Pisa-Cl. Sci., 5:3 (2006), 393–417  mathscinet  zmath  isi
    14. Bernard Coupet, Hervé Gaussier, Alexandre Sukhov, “Fefferman’s mapping theorem on almost complex manifolds in complex dimension two”, Math Z, 250:1 (2005), 59  crossref  mathscinet  zmath  isi  elib
    15. Bernard Coupet, Alexandre Sukhov, “Reflection principle and boundary properties of holomorphic mappings”, Journal of Mathematical Sciences (New York), 125:6 (2005), 825  crossref  mathscinet  zmath  elib
    16. Lamel B., “A C-Infinity-Regularity Theorem for Nondegenerate Cr Mappings”, Mon.heft. Math., 142:4 (2004), 315–326  crossref  mathscinet  zmath  isi
    17. Tumanov A., “Extremal Discs and the Geometry of Cr Manifolds”, Real Methods in Complex and Cr Geometry, Lecture Notes in Mathematics, 1848, eds. Abate M., Fornaess J., Huang X., Rosay J., Tumanov A., Springer-Verlag Berlin, 2004, 191–212  crossref  mathscinet  zmath  isi
    18. Giuseppe Zampieri, “Reflection about k-jets and holomorphic extension of CR mappings”, Journal of Mathematical Analysis and Applications, 283:1 (2003), 150  crossref  mathscinet  zmath
    19. Tumanov A., “Extremal Discs and the Regularity of Cr Mappings in Higher Codimension”, Am. J. Math., 123:3 (2001), 445–473  crossref  mathscinet  zmath  isi
    20. Balogh Z., Bonk M., “Gromov Hyperbolicity and the Kobayashi Metric on Strictly Pseudoconvex Domains”, Comment. Math. Helv., 75:3 (2000), 504–533  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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