Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find






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


Zapiski Nauchnykh Seminarov POMI, 1996, Volume 232, Pages 109–117 (Mi znsl3679)  

On an analog of the Runge theorem for harmonic differential forms

S. R. Dager, S. A. Presa

Departamento de Matemática, Universidad de Oriente, Santiago de Cuba, Cuba
Abstract: For harmonic differential forms in an open subset of $\mathbb R^n$ (they are regarded as a generalization of the analytic functions for $n=2$), an analog of the classical Runge theorem is formulated. Harmonic forms with point singularities are introduced, and a theorem on the “balayage” of the poles is proved. An integral representation formula similar to the Cauchy formula is constructed. Bibl. 5 titles.
Received: 12.11.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 92, Issue 1, Pages 3613–3618
DOI: https://doi.org/10.1007/BF02440145
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: S. R. Dager, S. A. Presa, “On an analog of the Runge theorem for harmonic differential forms”, Investigations on linear operators and function theory. Part 24, Zap. Nauchn. Sem. POMI, 232, POMI, St. Petersburg, 1996, 109–117; J. Math. Sci. (New York), 92:1 (1998), 3613–3618
Citation in format AMSBIB
\Bibitem{DagPre96}
\by S.~R.~Dager, S.~A.~Presa
\paper On an analog of the Runge theorem for harmonic differential forms
\inbook Investigations on linear operators and function theory. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 232
\pages 109--117
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3679}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1464427}
\zmath{https://zbmath.org/?q=an:0908.41026|0899.41022}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 92
\issue 1
\pages 3613--3618
\crossref{https://doi.org/10.1007/BF02440145}
Linking options:
  • https://www.mathnet.ru/eng/znsl3679
  • https://www.mathnet.ru/eng/znsl/v232/p109
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:154
    Full-text PDF :66
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024