Skip to main content
Log in

The formula of the regularized trace for the Laplace-Beltrami operator with odd potential on the sphereS 2

  • Published:
Mathematical Notes 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.

References

  1. V. Guillemin, “Some spectral results for the Laplace operator with potential on theS n-sphere,”Adv. Math.,27, 273–286 (1978).

    Google Scholar 

  2. H. Widom, “The Laplace operator with potential on the 2-sphere,”Adv. Math.,31, 63–66 (1979).

    Google Scholar 

  3. V. A. Sadovnichii and V. V. Dubrovskii, “Classical formula of the regularized trace of the Laplace-Beltrami operator with odd potential on the sphereS 2,”Dokl. Akad. Nauk SSSR,319, No. 1 (1991).

    Google Scholar 

  4. V. A. Lyubishkin and V. E. Podol'skii, “On the summability of regularized traces of differential operators,”Mat. Zametki,54, No. 2, 33–38 (1993).

    Google Scholar 

  5. M. Taylor,Pseudo-Differential Operators [Russian translation], Mir, Moscow (1985).

    Google Scholar 

  6. R. T. Seelej, “Complex powers of elliptic operators,”Proc. Symp. Pure Math.,10, 288–307 (1967).

    Google Scholar 

  7. F. Oliver,Asymptotics and Special Functions [Russian translation], Nauka, Moscow (1990).

    Google Scholar 

  8. E. Teachmarsh,Theory of Functions [Russian translation], GITTL, Moscow (1951).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 56, No. 1, pp. 71–77, July, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Podol'skii, V.E. The formula of the regularized trace for the Laplace-Beltrami operator with odd potential on the sphereS 2 . Math Notes 56, 699–703 (1994). https://doi.org/10.1007/BF02110560

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02110560

Navigation