Skip to main content
SpringerLink
Log in

The computation of the spectral asymptotics for the Laplace operator in domains of infinite measure

  • Published:
Journal of Soviet 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

Literature cited

  1. M. Sh. Birman and M. Z. Solomyak, Funktsional'. Analiz,4, No. 4, 1–13 (1970).

    Google Scholar 

  2. Z. Ciesielski, Roczn. Pol. Tow. Mat., Ser. I,14, 41–50 (1970).

    Google Scholar 

  3. H. Weyl, Math. Ann.,71, 441–470 (1912).

    Google Scholar 

  4. G. V. Rozenblyum, Dokl. Akad. Nauk SSSR,200, No. 5, 1034–1036 (1971).

    Google Scholar 

  5. A. M. Molchanov, Trudy MMO,2, 169–200 (1953).

    Google Scholar 

  6. D. Hewgill, Arch. Rat. Mech. Anal.,27, 153–170 (1967).

    Google Scholar 

  7. C. Clark, Arch. Rat. Mech. Anal.,31, 352–356 (1968).

    Google Scholar 

  8. G. V. Rozenblyum, Matem. Sb.,89, No. 2, 234–247 (1972).

    Google Scholar 

  9. I. M. Glazman and B. Ya. Skachek, Dokl. Akad. Nauk SSSR,147, 760–763 (1962).

    Google Scholar 

  10. I. M. Glazman, Direct Methods for the Qualitative Spectral Analysis of Singular Differential Operators [in Russian], Fizmatgiz, Moscow (1964).

    Google Scholar 

  11. R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. I, Interscience Publishers, Inc., New York (1953).

    Google Scholar 

  12. V. G. Maz'ya, Sibirsk. Matem. Zh.,6, No. 1, 127–148 (1965).

    Google Scholar 

Download references

Authors
  1. G. V. Rozenblyum
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Problemy Matematicheskogo Analiza. No. 4: Integralnye i Differentsial'nye Operatory. Differentsial'nye Uraveniya, pp. 95–106, 1973.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rozenblyum, G.V. The computation of the spectral asymptotics for the Laplace operator in domains of infinite measure. J Math Sci 6, 64–71 (1976). https://doi.org/10.1007/BF01084862

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01084862

Keywords

Search

Navigation