Skip to main content
Log in

On characters and asymptotics of representations of a real reductive Lie group

  • Published:
Mathematische Annalen 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. Casselman, W.: The differential equations satisfied by matrix coefficients. (Manuscript) (1975)

  2. Harish Chandra: Some results of differential equations. (Manuscript) (1960)

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

    Google Scholar 

  4. Harish Chandra: Harmonic analysis on real reductive groups, I. J. Funct. Anal.19, 104–204 (1975)

    Google Scholar 

  5. Hecht, H., Schmid, W.: A proof of Osborne conjecture. (to appear) (1979)

  6. Hirai, T.: The characters of discrete series for semisimple Lie groups. Preprint 1973

  7. Hirai, T.: The characters of some induced representations of semisimple Lie groups. J. Math. Kyoto Univ.8, 313–363 (1968)

    Google Scholar 

  8. Knapp, A.W., Zuckerman, G.: Classification of irreducible tempered representations of semisimple Lie groups. Proc. Nat. Acad. Sci. U.S.A.73, 2178–2180 (1976)

    Google Scholar 

  9. Langlands, P.R.: On the classification of irreducible representations of real algebraic groups. Preprint (1973)

  10. Miličić, D.: Asymptotic behaviour of matrix coefficients of discrete series. Duke Math. J.44, 59–88 (1977)

    Google Scholar 

  11. Miličić, D.: Notes on asymptotics of admissible representations of semisimple Lie groups. (Manuscript) (1976)

  12. Osborne, S.: Thesis. Yale University (1973)

  13. Schmid, W.: Two character identities for semisimple Lie groups. Preprint (1976)

  14. Warner, G.: Harmonic Analysis on Semisimple Lie Groups, I. II. Berlin, Heidelberg, New York: Springer 1972

    Google Scholar 

  15. Wolf, J.: Unitary representations on partially holomorphic cohomology spaces. Amer. Math. Soc. Memoirs138 (1974)

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by NSF grant MCS 72-05055 A 04

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hecht, H. On characters and asymptotics of representations of a real reductive Lie group. Math. Ann. 242, 103–126 (1979). https://doi.org/10.1007/BF01420410

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01420410

Navigation