Skip to main content
SpringerLink
Log in

On the topology of invertible linear singular integral operators

  • Chapter
  • First Online:
Book cover Global Analysis — Studies and Applications II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1214))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Muskhelishvili N.I. Singular integral equations. Nordhoff, 1963.

    Google Scholar 

  2. Prössdorf S. Einige Klassen singularer Gleichungen. Akademie Verlag, Berlin, 1974.

    Book  MATH  Google Scholar 

  3. Eells J. A setting for global analysis.-Bull.Amer.Math.Soc.,1966, Vol.72, No 5.

    Google Scholar 

  4. Duduchava R.V. On bisingular integral operators with discontinuous coefficients.-Math. USSR-Sb., 1976, vol.30, No 4.

    Google Scholar 

  5. Vasilevskiǐ N.L. On the symbol theory for Banach algebras of operators generalizing singular integral operators algebras-Differential’nye uravneniya, 1981, vol.17, No 4 (in Russian).

    Google Scholar 

  6. Spanier E. Algebraic topology. McGraw Hill, N.Y., 1966.

    MATH  Google Scholar 

  7. Vasilescu F.-H. Analytic Functional Calculus and Spectral Decompositions. Ed.Academiei-D.Reidel publishing Co., 1982.

    Google Scholar 

  8. Mityagin B.S. The homotopy structure of the linear group of a Banach space.-Uspekhi Mat.Nauk, 1970, vol.25, No 5 (in Russian).

    Google Scholar 

  9. Pilidi V.S. Computation of the index of a bisingular operator.-Func.anal.appl., 1973, vol.7, No 4 (in Russian).

    Google Scholar 

  10. Simonenko I.B. On the question of solvability of bisingular and polysingular equations-Func.anal.appl., 1971, vol.5, No 1 (in Russian).

    Google Scholar 

  11. Pilidi V.S. On multidimensional bisingular operators-Doklady Akad.Nauk SSSR, 1971, vol.201, No 4 (in Russian).

    Google Scholar 

  12. Nikolenko P.V. On the stability of partial indices of matrix function families on a sphere-Soobshch.Akad.Nauk GSSR,1983, vol.109, No 3 (in Russian).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Algebra and Geometry Mathematical Institute, Academy of Sciences of Georgian SSR, ul.Z.Rukhadze, 1, 380093, Tbilisi, Russia

    G. N. Khimshiashvili

Authors
  1. G. N. Khimshiashvili
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Yuriǐ G. Borisovich Yuriǐ E. Gliklikh A. M. Vershik

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this chapter

Cite this chapter

Khimshiashvili, G.N. (1986). On the topology of invertible linear singular integral operators. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis — Studies and Applications II. Lecture Notes in Mathematics, vol 1214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075967

Download citation

  • DOI: https://doi.org/10.1007/BFb0075967

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16821-8

  • Online ISBN: 978-3-540-47084-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation