Literature cited
A. U. Klimyk, “Structure of elementary representations of U(n, 1),” in: Papers in Mathematics [in Russian], Naukova Dumka, Kiev (1976), pp. 214–218.
G. Schiffmann, “Integrales d'entrelacement et fonctions de Whittaker,” Bull. Soc. Math. France,99, 3–72 (1971).
A. W. Knapp and E. M. Stein, “Intertwining operators for semisimple groups,” Ann. of Math.,93, 489–578 (1971).
K. Johnson and N. R. Wallach, “Composition series and intertwining operators for the spherical principal series,” Bull. Amer. Math. Soc.,78, 1053–1059 (1972).
D. P. Zhelobenko, Harmonic Analysis on Semisimple Complex Lie Groups [in Russian], Nauka, Moscow (1974), p. 240.
I. M. Gel'fand and M. L. Tsetlin, “Finite-dimensional representations of the group of unimodular matrices,” Dokl. Akad. Nauk SSSR,71, No. 5, 825–828 (1950).
A. U. Klimyk and V. A. Shirokov, “Representations of the Lie groups U(n, 1), IU(n) and their algebras. I,” Preprint ITP-74-141, Kiev (1974), pp.3–40; II, Preprint ITP-74-143, Kiev (1974), pp. 3–30.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 6, pp. 803–807, November–December, 1976.
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Gavrilik, A.M., Klimyk, A.U. Intertwining operators for U(n, 1). Ukr Math J 28, 617–620 (1976). https://doi.org/10.1007/BF01094129
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DOI: https://doi.org/10.1007/BF01094129