Skip to main content
SpringerLink
Log in

The Riemann-Hilbert problem in loop spaces

  • Mathematics
  • Published:
Doklady Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. N. I. Muskhelishvili, Singular Integral Equations, 3rd ed. (Nauka, Moscow, 1968; Wolters-Noordhoff, Groningen, 1972).

    Google Scholar 

  2. A. Pressley and G. Segal, Loop Groups (Clarendon, Oxford, 1986; Mir, Moscow, 1990).

    Google Scholar 

  3. L. D. Faddeev and L. Takhtadzhan, The Hamilton Method in Solition Theory (Nauka, Moscow, 1988) [in Russian].

    Google Scholar 

  4. G. N. Khimshiashvili, Dokl. Akad. Nauk SSSR 310, 1110–1113 (1990).

    Google Scholar 

  5. D. Anosov and A. Bolibrukh, Riemann-Hilbert Problem (Vieweg, Braunschweig, 1994).

    Google Scholar 

  6. M. Atiyah, Commun. Math. Phys. 93, 231–250 (1984).

    Article  MathSciNet  Google Scholar 

  7. B. Bojarski, in Complex Analysis. Methods, Trends, Applications (Akademie, Berlin, 1983), pp. 97–110.

    Google Scholar 

  8. J.-L. Brylinski, Loop Spaces, Characteristic Classes and Geometric Quantization (Birkhäuser, Boston, 1993).

    Google Scholar 

  9. P. Deift, L. Li, and C. Tomei, Commun. Pure Appl. Math. 42, 443–521 (1989).

    MathSciNet  Google Scholar 

  10. G. Giorgadze, J. Dyn. Control Syst. 10, 245–283 (2002).

    Article  MathSciNet  Google Scholar 

  11. M. Gromov, Invent. Math. 82, 307–347 (1985).

    Article  MATH  MathSciNet  Google Scholar 

  12. L. Lempert, J. Differ. Geom. 38, 519–543 (1993).

    MATH  MathSciNet  Google Scholar 

  13. G. N. Khimshiashvili, Mem. Differ. Equations Math. Phys. 27, 1–114 (2002).

    MATH  MathSciNet  Google Scholar 

  14. G. N. Khimshiashvili, Bull. Georgian Acad. Sci. 169, 443–446 (2004).

    Google Scholar 

  15. A. Onishchik, Trans. Moscow Math. Soc., 1965–1967, pp. 49–97.

Download references

Author information

Authors and Affiliations

  1. Institute of Cybernetics, Georgian Academy of Sciences, Tbilisi, Georgia

    G. Giorgadze

  2. Razmadze Mathematical Institute, Academy of Sciences of Georgia, ul. M. Aleksidze 1, Tbilisi, 0193, Georgia

    G. Khimshiashvili

Authors
  1. G. Giorgadze
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Khimshiashvili
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © G. Giorgadze, G. Khimshiashvili, 2006, published in Doklady Akademii Nauk, 2006, Vol. 407, No. 5, pp. 589–591.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Giorgadze, G., Khimshiashvili, G. The Riemann-Hilbert problem in loop spaces. Dokl. Math. 73, 258–260 (2006). https://doi.org/10.1134/S1064562406020281

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562406020281

Keywords

Search

Navigation