Skip to main content
Log in

Sharp estimates of the remainder in the spectral asymptotic for pseudodifferential operators in Rn

  • Brief Communications
  • Published:
Functional Analysis and Its Applications Aims and scope

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.

Literature Cited

  1. L. Hörmander, "The spectral function of an elliptic operator," Acta Math.,121, 193–218 (1969).

    Google Scholar 

  2. V. N. Tulovskii and M. A. Shubin, "The asymptotic distribution of the eigenvalues of pseudodifferential operators in Rn," Mat. Sb.,92, 571–588 (1973).

    Google Scholar 

  3. V. I. Feigin, "The asymptotic distribution of eigenvalues for hypoelliptic systems in Rn," Mat. Sb.,99, No. 4, 594–614 (1976).

    Google Scholar 

  4. L. Hörmander, "On the asymptotic distribution of the eigenvalues of pseudodifferential operators in Rn," Ark. Math.,17, No. 2, 297–313 (1979).

    Google Scholar 

  5. D. Robert, "Propriétés spectrales d'opérateurs pseudo-différentiels," Commun. Partial Diff. Equations,3, No. 9, 755–826 (1978).

    Google Scholar 

  6. B. Helffer and D. Robert, "Comportement asymptotique précise du spectre d' operateurs globalement élliptiques dans Rn," C. R. Acad. Sci.,292, No. 6, 363–366 (1981).

    Google Scholar 

Download references

Authors

Additional information

All-Union Scientific-Research Institute for the Economics of Gas Industry. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 16, No. 3, pp. 88–89, July–September, 1982.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Feigin, V.I. Sharp estimates of the remainder in the spectral asymptotic for pseudodifferential operators in Rn . Funct Anal Its Appl 16, 233–235 (1982). https://doi.org/10.1007/BF01081609

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01081609

Keywords

Navigation