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The plancherel theorem for semisimple Lie groups without compact Cartan subgroups

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Non Commutative Harmonic Analysis and Lie Groups

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1020))

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References

  1. Harish-Chandra A formula for semisimple Lie groups, Amer. J. Math., 79 (1957), 733–760.

    Article  MathSciNet  MATH  Google Scholar 

  2. Some results on an invariant integral on a semisimple Lie algebra, Ann. of Math., 80 (1964), 551–593.

    Article  MathSciNet  MATH  Google Scholar 

  3. Harmonic analysis on real reductive groups III, Ann. of Math., 104 (1976), 117–201.

    Article  MathSciNet  MATH  Google Scholar 

  4. R. Herb, Fourier inversion of invariant integrals on semisimple real Lie groups, Trans. Amer. Math. Soc., 249 (1979), 281–302.

    MathSciNet  MATH  Google Scholar 

  5. , Fourier inversion and the Plancherel theorem for semisimple real Lie groups, Amer. J. Math., 104 (1982), 9–58.

    Article  MathSciNet  MATH  Google Scholar 

  6. Fourier inversion and the Plancherel theorem, Non-commutative Harmonic Analysis and Lie Groups, Proceedings, Marseille-Luminy 1980, Lecture Notes in Math. 880, Springer-Verlag, 1981, 197–210.

    Article  MathSciNet  MATH  Google Scholar 

  7. Discrete series characters and Fourier inversion on semisimple real Lie groups, to appear Trans. Amer. Math. Soc.

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  8. R. Herb and P. Sally, Singular invariant eigendistributions as characters in the Fourier transform of invariant distributions, J. Funct. Analysis, 33 (1979), 195–210.

    Article  MathSciNet  MATH  Google Scholar 

  9. P. Sally and G. Warner, The Fourier transform on semisimple Lie groups of real rank one, Acta Math., 131 (1973), 1–26.

    Article  MathSciNet  MATH  Google Scholar 

  10. M. Vergne, A Poisson-Plancherel formula for semisimple Lie groups, Ann. of Math., 115, (1982), 639–666.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Maryland, 20742, College Park, Maryland

    Rebecca Herb

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  1. Rebecca Herb
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Jaques Carmona Michèle Vergne

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© 1983 Springer-Verlag

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Herb, R. (1983). The plancherel theorem for semisimple Lie groups without compact Cartan subgroups. In: Carmona, J., Vergne, M. (eds) Non Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 1020. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071497

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  • DOI: https://doi.org/10.1007/BFb0071497

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12717-8

  • Online ISBN: 978-3-540-38700-8

  • eBook Packages: Springer Book Archive

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