Skip to main content
Log in

Singular operators satisfying an intertwining relation

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

An intertwining relation between the Beltrami-Laplace operator with an added potential and the Beltrami-Laplace operator is considered on a Riemannian manifold. It is shown that the potential singularities of codimension one form completely geodesic hypersurfaces.

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.

Similar content being viewed by others

References

  1. E. L. Ains,Ordinary Differential Equations, Dover, New York (1944).

    Google Scholar 

  2. Yu. Yu. Berest and A. P. Veselov,Usp. Mat. Nauk 53, No. 1, 211–212 (1998).

    MathSciNet  Google Scholar 

  3. Yu. Berest and A. Veselov, “On the structure of singularities of integrable Schrödinger operators”,Lett. Math. Phys. (submitted 1998).

  4. O. A. Chalykh,Usp. Mat. Nauk,53, No. 2, 167–168 (1998).

    MathSciNet  Google Scholar 

  5. O. A. Chalykh, M. V. Feigin, and A. P. Veselov, “Multidimensional Baker-Akhiezer functions and Huygens' principle”, Preprint math-ph/9903019 (1999);Commun. Math. Phys. (submitted 1998).

  6. E. Cartan,Leçons sur la géométrie des espaces de Riemann, Gauthiers-Villars Paris (1928).

    MATH  Google Scholar 

  7. E. M. Opdam,Compos. Math.,67, 191–209 (1988).

    MATH  MathSciNet  Google Scholar 

  8. M. A. Olshanetsky and A. M. Perelomov,Phys. Rep.,94, 313–404 (1983).

    Article  ADS  MathSciNet  Google Scholar 

  9. G. J. Heckman,Progr. Math.,101 181–191, (1991).

    MathSciNet  Google Scholar 

  10. C. F. Dunkl,Trans. Am. Math. Soc.,311, 167–183 (1989).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 121, No. 2, pp. 264–270, November, 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Feigin, M.V. Singular operators satisfying an intertwining relation. Theor Math Phys 121, 1478–1483 (1999). https://doi.org/10.1007/BF02557218

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02557218

Keywords

Navigation