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Spherical functions in spin0(1,d)/Spin(d−1) for d=2,4 and 8

Part of the Lecture Notes in Mathematics book series (LNM,volume 587)

Keywords

  • Homogeneous Space
  • Unitary Representation
  • Jordan Algebra
  • Spherical Function
  • Isotropy Subgroup

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Bibliography

  1. Dieudonné, J., Eléments d'Analyse, t.6, Gauthier-Villars, Paris, 1975.

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  2. Magnus, W. & Oberhettinger, F., Formeln und Sätze für die speziellen Funktionen der mathematischen Physik, 2. Auflage, Berlin, 1948.

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  3. Takahashi, R., Sur les fonctions sphériques et la formule de Plancherel dans le groupe hyperbolique, Jap. J. Math. 31 (1961), 55–90.

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  4. —, Sur les représentations unitaires des groupes de Lorentz généralisés, Bull. Soc. Math. France, 91(1963), 289–433.

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  5. —, Quelques résultats sur l'analyse harmonique dans l'espace symétrique non compact de rang 1 du type exceptionnel (preprint).

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© 1977 Springer-Verlag

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Takahashi, R. (1977). Spherical functions in spin0(1,d)/Spin(d−1) for d=2,4 and 8. In: Carmona, J., Vergne, M. (eds) Non-Commutative Harmonic Analysis. Lecture Notes in Mathematics, vol 587. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087923

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  • DOI: https://doi.org/10.1007/BFb0087923

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08245-3

  • Online ISBN: 978-3-540-37365-0

  • eBook Packages: Springer Book Archive