Loading [MathJax]/jax/output/SVG/config.js
Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Mathematics of the USSR-Sbornik, 1974, Volume 23, Issue 3, Pages 441–455
DOI: https://doi.org/10.1070/SM1974v023n03ABEH001725
(Mi sm3693)
 

This article is cited in 20 scientific papers (total in 20 papers)

Bogolyubov's theorem on the “edge of the wedge” for generic manifolds

S. I. Pinchuk
References:
Abstract: In this article the classical “edge of the wedge” theorem is generalized.
Bibliography: 9 titles.
Received: 26.12.1973
Bibliographic databases:
UDC: 517.55
MSC: Primary 32D15; Secondary 32C25, 32C35
Language: English
Original paper language: Russian
Citation: S. I. Pinchuk, “Bogolyubov's theorem on the “edge of the wedge” for generic manifolds”, Math. USSR-Sb., 23:3 (1974), 441–455
Citation in format AMSBIB
\Bibitem{Pin74}
\by S.~I.~Pinchuk
\paper Bogolyubov's theorem on the ``edge of the wedge'' for generic manifolds
\jour Math. USSR-Sb.
\yr 1974
\vol 23
\issue 3
\pages 441--455
\mathnet{http://mi.mathnet.ru/eng/sm3693}
\crossref{https://doi.org/10.1070/SM1974v023n03ABEH001725}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=397008}
\zmath{https://zbmath.org/?q=an:0307.32013}
Linking options:
  • https://www.mathnet.ru/eng/sm3693
  • https://doi.org/10.1070/SM1974v023n03ABEH001725
  • https://www.mathnet.ru/eng/sm/v136/i3/p468
  • This publication is cited in the following 20 articles:
    1. G. Khudayberganov, J. Sh. Abdullayev, “Holomorphic continuation into a matrix ball of functions defined on a piece of its skeleton”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 31:2 (2021), 296–310  mathnet  crossref
    2. 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
    3. Nabil Ourimi, “Extension of CR maps between real-analytic hypersurfaces of different dimensions”, Collect. Math, 2014  crossref  mathscinet
    4. Evgenieva V. Yurieva, “On the Extension of Analytic Sets into a Neighborhood of the Edge of a Wedge in Nongeneral Position”, Zhurn. SFU. Ser. Matem. i fiz., 6:3 (2013), 376–380  mathnet
    5. E. V. Yurieva, “On the holomorphic extension into a neighborhood of the edge of a wedge in nongeneral position”, Siberian Math. J., 52:3 (2011), 563–568  mathnet  crossref  mathscinet  isi
    6. Francine Meylan, “A Regularity Result for CR Mappings Between Infinite Type Hypersurfaces”, Communications in Partial Differential Equations, 33:9 (2008), 1638  crossref  mathscinet  zmath
    7. B. A. Shaimkulov, “On holomorphic extendability of functions from part of the Lie sphere to the Lie ball”, Siberian Math. J., 44:6 (2003), 1105–1110  mathnet  crossref  mathscinet  zmath  isi  elib
    8. V. S. Vladimirov, V. V. Zharinov, A. G. Sergeev, “Bogolyubov's “edge of the wedge” theorem, its development and applications”, Russian Math. Surveys, 49:5 (1994), 51–65  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    9. Zai Fei Ye, “Holomorphic extension and decomposition from a totally real manifold”, Trans. Amer. Math. Soc., 339:1 (1993), 1  crossref
    10. Otto Liess, “The edge-of-the-wedge theorem for systems of constant coefficient partial differential operators. I”, Math Ann, 280:2 (1988), 303  crossref  mathscinet  zmath  isi
    11. Joseph A. Cima, Emil J. Straube, “Boundary uniqueness theorems in 𝐶ⁿ”, Trans. Amer. Math. Soc., 294:1 (1986), 333  crossref
    12. Jean-Pierre Rosay, “À propos de “wedges” et d'“edges”, et de prolongements holomorphes”, Trans. Amer. Math. Soc., 297:1 (1986), 63  crossref
    13. R. A. Airapetyan, G. M. Henkin, “Integral representations of differential forms on Cauchy–Riemann manifolds and the theory of $CR$-functions. II”, Math. USSR-Sb., 55:1 (1986), 91–111  mathnet  crossref  mathscinet  zmath
    14. Jean-Pierre Rosay, “Une formule int�grale pour l'�edge of the wedge�”, Math. Ann., 272:1 (1985), 117  crossref
    15. Emil J. Straube, “CR-distributions and analytic continuation at generating Edges”, Math Z, 189:1 (1985), 131  crossref
    16. R. A. Airapetyan, G. M. Henkin, “Integral representations of differential forms on Cauchy–Riemann manifolds and the theory of CR-functions”, Russian Math. Surveys, 39:3 (1984), 41–118  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    17. Airapetian R. Khenkin G., “Analytical Extension of Cr-Functions Through Wedge Point”, 259, no. 4, 1981, 777–781  mathscinet  isi
    18. Peter Pflug, “Ein Fortsetzungssatz f�r plurisubharmonische Funktionen �ber reell-2-kodimensionale Fl�chen”, Arch. Math, 33:1 (1979), 559  crossref
    19. Eric Bedford, “Holomorphic continuation at a totally real edge”, Math Ann, 230:3 (1977), 213  crossref  mathscinet  zmath
    20. E. M. Chirka, “Analytic representation of $CR$-functions”, Math. USSR-Sb., 27:4 (1975), 526–553  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:489
    Russian version PDF:137
    English version PDF:37
    References:71
     
      Contact us:
    math-net2025_04@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025