Skip to main content
Log in

The Plancherel formula for parabolic subgroups of the classical groups

  • Published:
Journal d’Analyse Mathématique Aims and scope

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. J. DixmierAlgèbres quasi-unitaires, Comment. Math. Helv.26 (1952), 275–322.

    Article  MATH  MathSciNet  Google Scholar 

  2. J. Dixmier,Les C *-Algèbres et Leurs Représentations, Gauthier-Villars, Paris, 1964.

    Google Scholar 

  3. M. Duflo and C. C. Moore,On the regular representation of a non-unimodular locally compact group, J. Functional Analysis21 (1976), 209–243.

    Article  MATH  MathSciNet  Google Scholar 

  4. M. Duflo and M. Raïs,Sur l’analyse harmonique sur les groupes de Lie résolubles, Ann. Sci. École. Norm. Sup9 (1976), 107–144.

    MATH  Google Scholar 

  5. F. Keene,Square integrable representations and a Plancherel theorem for parabolic subgroups, to appear in Trans. Amer. Math. Soc.

  6. F. Keene, R. L. Lipsman and J. A. Wolf,The Plancherel formula for parabolic subgroups, Israel J. Math.28 (1977), 68–90.

    Article  MATH  MathSciNet  Google Scholar 

  7. A. Kleppner and R. L. Lipsman,The Plancherel formula for group extensions, Ann. Sci. École Norm. Sup.5 (1972), 71–120.

    MathSciNet  Google Scholar 

  8. A. Kleppner and R. L. Lipsman,The Plancherel formula for group extensions II, Ann. Sci. École Norm. Sup.6 (1973), 102–132.

    Google Scholar 

  9. R. L. Lipsman,Non-Abelian Fourier analysis, Bull. Sci. Math.98 (1974), 209–233.

    MathSciNet  Google Scholar 

  10. C. C. Moore and J. A. Wolf,Square integrable representations of nilpotent groups, Trans. Amer. Math. Soc.185 (1973), 445–462.

    Article  MathSciNet  Google Scholar 

  11. L. Pukanszky,On the theory of quasi-unitary algebras, Acta Sci. Math.16 (1955), 103–121.

    MATH  MathSciNet  Google Scholar 

  12. L. Pukanszky,On the characters and Plancherel formula of nilpotent groups, J. Functional Analysis1 (1967), 255–280.

    Article  MATH  MathSciNet  Google Scholar 

  13. L. Pukanszky,Unitary representations of solvable Lie groups, Ann. Sci. École Norm. Sup.4 (1971), 457–608.

    MATH  MathSciNet  Google Scholar 

  14. N. Tatsuuma,Plancherel formula for non-unimodular locally compact groups, J. Math. Kyoto Univ.12 (1972), 179–261.

    MATH  MathSciNet  Google Scholar 

  15. J. A. Wolf,Unitary representations of maximal parabolic subgroups of classical groups, Mem. Amer. Math. Soc. #180 (1976).

  16. J. A. Wolf,Space of Constant Curvature, 4th ed., Publish or Perish, Berkeley, 1977.

    Google Scholar 

  17. J. A. Wolf,Classification and Fourier inversion for parabolic subgroups with square integrable nilradical, to appear.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research partially supported by NSF Grant MCS-77-01264.

Research partially supported by NSF Grant MPS-76-01692.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lipsman, R.L., Wolf, J.A. The Plancherel formula for parabolic subgroups of the classical groups. J. Anal. Math. 34, 120–161 (1978). https://doi.org/10.1007/BF02790010

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02790010

Keywords

Navigation