Skip to main content
SpringerLink
Log in
SpringerLink
Log in

Recurrence relations for Plancherel functions

  • Chapter
  • First Online:
Non-Commutative Harmonic Analysis and Lie Groups

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1243))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. Bouaziz, A.; Sur les caractères des groupes de Lie réductifs non connexes, to appear in Journal of Functional Analysis.

    Google Scholar 

  2. Dourmashkin, P., A Poisson-Plancherel formula for the universal covering group with Lie algebra of type Bn, Thesis M.I.T. 1984, to appear.

    Google Scholar 

  3. Duflo, M., Vergne, M., La formule de Plancherel des groupes de Lie semisimples, Preprint 1985.

    Google Scholar 

  4. Harish-Chandra, Discrete series for semi-simple Lie groups I, Acta Math. 113, 1965, 241–318.

    Article  MathSciNet  MATH  Google Scholar 

  5. Harish-Chandra, Harmonic analysis on real reductive groups III. The Maass-Selberg relations and the Plancherel formula, Ann. of Math. 104, 1976, 117–201.

    Article  MathSciNet  MATH  Google Scholar 

  6. Herb, R., Discrete series characters and Fourier inversion on semi-simple real Lie groups, TAMS, 277, 1983, 241–261.

    Article  MathSciNet  MATH  Google Scholar 

  7. Kac, V., Peterson, D., Infinite-dimensional Lie algebras, theta functions and modular forms, Adv. in Math., Vol. 53, No.2, August 1984, 125–264.

    Article  MathSciNet  MATH  Google Scholar 

  8. Vergne, M., A Poisson-Plancherel formula for semi-simple Lie groups, Ann. of Math. 115, 1982, 639–666.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, M I T, 02139, Cambridge, MA, USA

    Dale Peterson

  2. CNRS, Paris, France

    Michèle Vergne

  3. Department of Mathematics, M.I.T., 02139, Cambridge, Ma, U.S.A.

    Michèle Vergne

Authors
  1. Dale Peterson
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Michèle Vergne
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Jacques Carmona Patrick Delorme Michèle Vergne M.I.T.

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this chapter

Cite this chapter

Peterson, D., Vergne, M. (1987). Recurrence relations for Plancherel functions. In: Carmona, J., Delorme, P., Vergne, M., M.I.T. (eds) Non-Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 1243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073025

Download citation

  • DOI: https://doi.org/10.1007/BFb0073025

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17701-2

  • Online ISBN: 978-3-540-47775-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation