Skip to main content
SpringerLink
Log in

Spectrum of a self-adjoint operator in L2 (K), where K is a local field; Analog of the Feynman-Kac formula

  • Published:
Theoretical and Mathematical Physics 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. I. M. Gel'fand, M. I. Graev, and I. I. Pyatetskii-Shapiro, Representation Theory and Automorphic Functions [in Russian], Nauka, Moscow (1966).

    MATH  Google Scholar 

  2. Saloffe-Coste Laurent, “Pseudodifferential operators on local fields,” C. R. Acad. Sci. Ser. 1,2, 171 (1983).

    Google Scholar 

  3. E. C. Titchmarsh, Eigenfunction Expansions Associated with Second-Order Differential Equations, Vol. 2, Clarendon Press, Oxford (1958).

    MATH  Google Scholar 

  4. V. S. Vladimirov, Usp. Mat. Nauk,43, 263 (1988).

    Google Scholar 

  5. I. M. Gel'fand and N. Ya. Vilenkin, Generalized Functions, Vol. 4, Applications of Harmonic Analysis, Academic Press, New York (1964).

    MATH  Google Scholar 

  6. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 2, Academic Press, New York (1975).

    MATH  Google Scholar 

  7. R. S. Ismagilov, Izv. Akad. Nauk SSSR, Ser. Mat.,31, 361 (1967).

    MathSciNet  Google Scholar 

  8. R. S. Ismagilov, Izv. Akad. Nauk SSSR, Ser. Mat.,33, 1296 (1969).

    MathSciNet  Google Scholar 

  9. V. S. Vladimirov and I. V. Volovitch, Lett. Math. Phys.,18, 43 (1989).

    Article  ADS  MathSciNet  Google Scholar 

  10. V. S. Vladimirov, I. V. Volovich, and E. I. Zelenov, Izv. Akad. Nauk SSSR, Ser. Mat.,54, 275 (1990).

    Google Scholar 

Download references

Authors
  1. R. S. Ismagilov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 89, No. 1, pp. 18–24, October, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ismagilov, R.S. Spectrum of a self-adjoint operator in L2 (K), where K is a local field; Analog of the Feynman-Kac formula. Theor Math Phys 89, 1024–1028 (1991). https://doi.org/10.1007/BF01016802

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01016802

Keywords

Search

Navigation