Sur la transformation d'Abel des groupes de Lie semisimples de rang un
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 10 (1983) no. 2, pp. 263-290.
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     author = {Rouvi\`ere, Fran\c{c}ois},
     title = {Sur la transformation {d'Abel} des groupes de {Lie} semisimples de rang un},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {263--290},
     publisher = {Scuola normale superiore},
     volume = {4e s{\'e}rie, 10},
     number = {2},
     year = {1983},
     mrnumber = {728437},
     zbl = {0527.43006},
     language = {fr},
     url = {http://www.numdam.org/item/ASNSP_1983_4_10_2_263_0/}
}
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Rouvière, François. Sur la transformation d'Abel des groupes de Lie semisimples de rang un. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 10 (1983) no. 2, pp. 263-290. http://www.numdam.org/item/ASNSP_1983_4_10_2_263_0/

[1] J.J. Duistermaat - J.A.C. Kolk - V.S. Varadarajan, Spectra of compact locally symmetric manifolds of negative curvature, Invent. Math., 52 (1979), pp. 27-93. | MR | Zbl

[1] Harish-Chandra, Spherical functions on a semisimple Lie group I, II, Amer. J. Math., 80 (1958), pp. 241-310 et 553-613. | MR | Zbl

[1] S. Helgason, Differential geometry and symmetric spaces, Academic Press, 1962. | MR | Zbl

[2] S. Helgason, Differential geometry, Lie groups and symmetric spaces, Academic Press, 1978. | MR | Zbl

[3] S. Helgason, An analogue of the Paley-Wiener theorem for the Fourier transform on certain symmetric spaces, Math. Ann., 165 (1966), pp. 297-308. | MR | Zbl

[4] S. Helgason, A duality for symmetric spaces with applications to group representations, Advances in Math., 5 (1970), pp. 1-154. | MR | Zbl

[5] S. Helgason, Analysis on Lie groups and homogeneous spaces, Regional Conf. Series Math., n. 14 (1972). | MR | Zbl

[1] W. Magnus - F. Oberhettinger - R.P. Soni, Formulas and theorems for the special functions of mathematical physics, 3rd ed., Springer-Verlag, 1966. | MR | Zbl

[1] R. Takahashi, Sur les représentations unitaires des groupes de Lorentz généralisés, Bull. Soc. Math. France, 91 (1963), pp. 289-433. | Numdam | MR | Zbl

[1] P.C. Trombi - V.S. Varadarajan, Spherical transforms on semisimple Lie groups, Ann. of Math., 94 (1971), pp. 246-303. | MR | Zbl

[1] N.R. Wallach, Harmonic analysis on homogeneous spaces, Marcel Dekker, 1973. | MR | Zbl

[1] G. Warner, Harmonic analysis on semisimple Lie groups II, Springer-Verlag, 1972. | Zbl