Skip to main content
SpringerLink
Log in

Troncature pour les espaces symétriques réductifs

  • Published:
Acta Mathematica

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

Bibliographie

  1. Arthur, J., A local trace formula.Inst. Hautes Études Sci. Publ. Math., 73 (1991), 5–96.

    MATH  MathSciNet  Google Scholar 

  2. Ban, E. P. van den, Asymptotic behaviour of matrix coefficients related to reductive symmetric spaces.Nederl. Akad. Wetensch. Indag. Math., 90 (1987), 225–249.

    Google Scholar 

  3. —, Invariant differential operators on a semisimple symmetric space and finite multiplicities in a Plancherel formula.Ark. Mat., 25 (1987), 175–187.

    Article  MATH  MathSciNet  Google Scholar 

  4. —, The principal series for a reductive symmetric space, I.H-fixed distribution vectors.Ann. Sci. École Norm. Sup. (4), 21 (1988), 359–412.

    MATH  Google Scholar 

  5. —, The principal series for a reductive symmetric space, II. Eisenstein integrals.J. Funct. Anal., 109 (1992), 331–441.

    Article  MATH  MathSciNet  Google Scholar 

  6. Ban, E. P. van den, Carmona, J. &Delorme, P., Paquets d'ondes dans l'espace de Schwartz d'un espace symétrique réductif.J. Funct. Anal., 139 (1996), 225–243.

    Article  MATH  MathSciNet  Google Scholar 

  7. Carmona, J., Terme constant des fonctions tempérées sur un espace symétrique réductif. À paraître dansJ. Reine Angew. Math.

  8. Carmona, J. &Delorme, P., Base méromorphe de vecteurs distributionH-invariants pour les séries principales généralisées d'espaces symétriques réductifs. Equation fonctionnelle.J. Funct. Anal., 122 (1994), 152–221.

    Article  MATH  MathSciNet  Google Scholar 

  9. Carmona, J. & Delorme, P., Transformation de Fourier sur l'espace de Schwartz d'un espace symétrique réductif. Preprint.

  10. Delorme, P., Intégrales d'Eisenstein pour les espaces symétriques réductifs: tempérance, majorations. Petite matriceB.J. Funct. Anal., 136 (1996), 422–509.

    Article  MATH  MathSciNet  Google Scholar 

  11. Flensted-Jensen, M., Discrete series for semisimple symmetric spaces.Ann. of Math. (2), 111 (1980), 253–311.

    Article  MATH  MathSciNet  Google Scholar 

  12. Harish-Chandra, Harmonic analysis on real reductive groups, I. The theory of the constant term.J. Funct. Anal., 19 (1975), 103–204.

    MathSciNet  Google Scholar 

  13. —, Harmonic analysis on real reductive groups, II. Wave packets in the Schwartz space.Invent. Math., 36 (1976), 1–55.

    Article  MathSciNet  Google Scholar 

  14. Helgason, S.,Groups and Geometric Analysis. Academic Press, Orlando, FL, 1984.

    MATH  Google Scholar 

  15. Oshima, T. &Matsuki, T., A description of discrete series for semisimple symmetric spaces, inGroup Representations and Systems of Differential Equations (Tokyo, 1982), pp. 331–390. Adv. Stud. Pure Math., 4. North-Holland, Amsterdam-New York, 1984.

    Google Scholar 

  16. Schwartz, L.,Théorie des distributions. Hermann, Paris, 1966.

    Google Scholar 

  17. Vogan, D., Algebraic structure of irreducible representations of semisimple Lie groups.Ann. of Math. (2), 109 (1979), 1–60.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut de Mathématiques de Luminy UPR 9016 du CNRS, Faculté des sciences de Luminy, 163, Avenue de Luminy Case 901, F-13288, Marseille Cedex 09, France

    Patrick Delorme

Authors
  1. Patrick Delorme
    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

Delorme, P. Troncature pour les espaces symétriques réductifs. Acta Math 179, 41–77 (1997). https://doi.org/10.1007/BF02392719

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02392719

Search

Navigation