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Recurrence relations for Plancherel functions

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

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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.

    CrossRef  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.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  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.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1987 Springer-Verlag

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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

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

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