Skip to main content

Fourier transforms of some invariant distribution on semisimple Lie groups and Lie algebras

Part of the Lecture Notes in Mathematics book series (LNM,volume 728)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arthur, J., The Selberg trace formula for groups of F rank one, Ann. of Math., vol. 100, 1974.

    Google Scholar 

  2. Warner, G., The Selberg trace formula for Lie groups of real rank one, preprint, to appear, Advances of Math.

    Google Scholar 

  3. Sally, P. and Warner, G., The Fourier transform on semisimple Lie groups of real rank one, Acta Math., vol. 131, 1973.

    Google Scholar 

  4. Osborne, S. and Warner, G., Multiplicities of integrable discrete series, The case of a nonuniform lattice in an ℝ-rank one group, to appear.

    Google Scholar 

  5. Herb, B., Fourier inversion of invariant integrals on semisimple real Lie groups, preprint.

    Google Scholar 

  6. Chao, W., Fourier inversion and the Plancherel formula for semisimple Lie groups of real rank two, Ph.D. Thesis, U. of Chicago, 1977.

    Google Scholar 

  7. Varadarajan, V., Harmonic Analysis on real reductive groups, Lecture Notes in Math. 576, Springer Verlag.

    Google Scholar 

  8. Barbasch, D., Fourier inversion for unipotent invariant integrals, to appear, Transactions of AMS.

    Google Scholar 

  9. Rossmann, W., Kirillov's Character formula for semisimple Lie groups, preprints.

    Google Scholar 

  10. Kashiwara, M. and Vergne, M., K-types and singular spectrum, same volume.

    Google Scholar 

  11. Barbasch, D. and Vogan, D., The local structure of characters, preprint.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1979 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Barbasch, D. (1979). Fourier transforms of some invariant distribution on semisimple Lie groups and Lie algebras. In: Carmona, J., Vergne, M. (eds) Non-Commutative Harmonic Analysis. Lecture Notes in Mathematics, vol 728. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063334

Download citation

  • DOI: https://doi.org/10.1007/BFb0063334

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09516-3

  • Online ISBN: 978-3-540-35131-3

  • eBook Packages: Springer Book Archive