Skip to main content
SpringerLink
Log in

The Selberg Trace formula and the Ruelle Zeta function for compact hyperbolics

  • Published:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 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

References

  1. A. F. Beardon, The Geometry of Discrete Groups. New York-Heidelberg-Berlin: Springer 1983.

    MATH  Google Scholar 

  2. N. R. Wallach, On the Selberg Trace Formula in the case of compact quotient. Bull. AMS82 (1976), 171–195.

    Article  MATH  MathSciNet  Google Scholar 

  3. T. Hirai, The Plancherel Formula for the Lorentz Group ofn-th Order. Proc. Jap. Acad. vol.42 (1965), 323–326.

    Article  MathSciNet  Google Scholar 

  4. R. J. Miatello, The Minakshisundaram-Pleijel coefficients for te vector valued heat kernel on compact locally symmetric spaces of negative curvature. Trans. Am. Math. Soc.260 (1980).

  5. A. Selberg, Harmonic Analysis on Weakly Symmetric Riemannian Spaces with Applicacations to Dirichlet Series. Ind. J. Math.20 (1956), 47–87.

    MATH  MathSciNet  Google Scholar 

  6. D. Fried, Analytic torsion and closed geodesics on hyperbolic manifolds. Inv. Math.84 (1986), 523–540.

    Article  MATH  MathSciNet  Google Scholar 

  7. W. Feller, An Introduction to Probability Theory and Its Applications, II. New York-London-Sydney: John Wiley & Sons Inc. (1966).

    Google Scholar 

  8. Subia, N., Formule de Selberg et formes d’espaces hyperboliques compactes. Analyse harmonique sur les groupes de Lie (Sem. Nancy-Strasbourg, 1973–75). Berlin-Heidelberg-New York: Springer 1975. = Lecture Notes in Mathematics, Vol. 497, pp. 674–700.

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Westfälischen Wilhelms-Universität, Einsteinstr. 62, D-4400 Münster, Deutschland

    A. Deitmar

Authors
  1. A. Deitmar
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Deitmar, A. The Selberg Trace formula and the Ruelle Zeta function for compact hyperbolics. Abh.Math.Semin.Univ.Hambg. 59, 101–106 (1989). https://doi.org/10.1007/BF02942321

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02942321

Keywords

Search

Navigation