Skip to main content
Log in

Integral operators with kernels satisfying Carleman and Akhiezer conditions. II

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. P. Holmos, Measure Theory, D. Van Nostrand, New York (1950).

    Google Scholar 

  2. V. B. Korotkov, “Integral operators with kernels satisfying Carleman and Akhiezer conditions. I,” Sibirsk. Matem. Zh.,12, No. 5, 1041–1053 (1971).

    Google Scholar 

  3. V. B. Korotkov, “Classification and characteristic properties of Carleman operators,” Dokl. Akad. Nauk SSSR,190, No. 6, 1274–1277 (1970).

    Google Scholar 

  4. V. B. Korotkov, “On a problem of D. Targonski concerning the relationship between a kernel of a normal Carleman operator and a kernel of a conjugate operator,” Matem. Zametki,6, No. 5, 599–606 (1969).

    Google Scholar 

  5. V. B. Korotkov, “On characteristic properties of integral operators with kernels of Carleman type,” Sibirsk. Matem. Zh.,11, No. 1, 103–127 (1970).

    Google Scholar 

  6. N. I. Akhieser and I. M. Glasman, Theory of Linear Operators in Hilbert Space, Vols. I, II, Ungar, New YorK (1961, 1963).

    Google Scholar 

  7. V. B. Korotkov, “Carleman operators in abstract function spaces,” II, Sibirsk. Matem. Zh.,12, No. 4, 737–747 (1971).

    Google Scholar 

  8. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, Berlin (1966).

    Google Scholar 

  9. B. Misra, D. Speiser, and G. Targonski, “Integral operators in the theory of scattering,” Helv. Phys. Acta,36, No. 7, 963–980 (1963).

    Google Scholar 

  10. M. A. Krasnosel'skii, P. P. Zabreiko, E. I. Pustyl'nik, and P. E. Sobolevskii, Integral Operators in Spaces of Symmetric Functions [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  11. I. M. Gel'fand and N. Ya. Vilenkin, Some Applications of Harmonic Analysis. Equipped Hilbert Spaces, Academic Press, New York (1964).

    Google Scholar 

  12. V. B. Korotkov, “A characteristic property of strong integral and strong B-integral self-adjoint operators,” Matem. Zametki,8, No. 5, 653–661 (1970).

    Google Scholar 

  13. A. I. Plesner, Spectral Theory of Linear Operators, Ungar, New York (1969).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 12, No. 6, pp. 1301–1310, November–December, 1971.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Korotkov, V.B. Integral operators with kernels satisfying Carleman and Akhiezer conditions. II. Sib Math J 12, 938–945 (1971). https://doi.org/10.1007/BF00966537

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00966537

Keywords

Navigation