Skip to main content
SpringerLink
Log in

The characters of discrete series as orbital integrals

  • Published:
Inventiones mathematicae Aims and scope

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. Arthur, J.: The Selberg trace formula for groups ofF-rank one. Ann. of Math.100, 326–385 (1974)

    Google Scholar 

  2. Arthur, J.: Some tempered distributions on semisimple groups of real rank one. Ann. of Math.100, 553–584 (1974)

    Google Scholar 

  3. Harish-Chandra: The characters of semisimple Lie groups. Trans. Amer. Math. Soc.83, 98–163 (1956)

    Google Scholar 

  4. Harish-Chandra: Differential operators on a semisimple Lie algebra. Amer. J. Math.79, 87–120 (1975)

    Google Scholar 

  5. Harish-Chandra: Fourier transforms on a semisimple Lie algebra 1. Amer. J. Math.79, 193–257 (1957)

    Google Scholar 

  6. Harish-Chandra: A formula for semisimple Lie groups. Amer. J. Math.79, 733–760 (1957)

    Google Scholar 

  7. Harish-Chandra: Invariant eigendistributions on a semisimple Lie group. Trans. Amer. Math. Soc.119, 457–508 (1965)

    Google Scholar 

  8. Harish-Chandra: Two theorems on semisimple Lie groups. Ann. of Math.83, 74–128 (1966)

    Google Scholar 

  9. Harish-Chandra: Discrete series for semisimple Lie groups II. Acta Math.116, 1–111 (1966)

    Google Scholar 

  10. Harish-Chandra: On the theory of the Eisenstein integral. Lecture Notes in Math.266, 123–149. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

  11. Harish-Chandra: Harmonic analysis on real reductive groups I: The theory of the constant term. J. Funct. Analysis19, 104–204 (1975)

    Google Scholar 

  12. Hirai, T.: Explicit form of the characters of discrete series representations of semisimple Lie groups. Harmonic analysis on homogenous spaces. Proc. Sympos. Pure Math. (Amer. Math. Soc.),26, 281–288 (1972)

    Google Scholar 

  13. Langlands, R. P.: On the functional equations satisfied by Eisenstein series. Mimeographed notes

  14. Langlands, R. P.: Eisenstein series. Algebraic groups and discontinuous subgroups. Proc. Sympos. Pure Math., (Amer. Math. Soc.)9, 225–252 (1966)

    Google Scholar 

  15. Langlands, R. P.: Dimension of spaces of automorphic forms. Algebraic groups and discontinuous subgroups. Proc. Sympos. Pure Math. (Amer. Math. Soc.)9, 253–257 (1966)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Bures-sur-Yvette

    James Arthur

  2. Department of Mathematics, Yale University, Yale Station, Box 2155, 06520, New Haven, Connecticut, USA

    James Arthur

Authors
  1. James Arthur
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported during the preparation of this paper by a Yale University Junior Faculty Fellowship. The author would like to express his thanks to the Institute des Haudes Scientifiques for its hospitality

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arthur, J. The characters of discrete series as orbital integrals. Invent Math 32, 205–261 (1976). https://doi.org/10.1007/BF01425569

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01425569

Keywords

Search

Navigation