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References
A. Andreotti and E. Vesentini, Carleman estimates for the Laplace-Beltrami operator on complex manifolds, Inst. Hautes Études Sci. Publ. Math. 25 (1965), 81–130.
R. Bott, Homogeneous vector bundles, Ann. of Math. (2) 66 (1957), 203–248.
F. Bruhat, Sur les représentations induites des groupes de Lie, Bull. Soc. Math. France 84 (1956), 97–205.
J. M. G. Fell, book on harmonic analysis, in preparation.
Harish-Chandra, Representations of a semisimple Lie group on a Banach space, I, Trans. Amer. Math. Soc. 75 (1953), 185–243.
—, The Plancherel formula for complex semisimple Lie groups, Trans. Amer. Math. Soc. 76 (1954), 485–528.
—, Representations of semisimple Lie groups, IV, Amer. J. Math. 77 (1955), 743–777; V, ibid. 78 (1956), 1–41; VI, ibid. 78 (1956), 564–628.
—, Discrete series for semisimple Lie groups, II, Acta Math. 116 (1966), 1–111.
—, Harmonic analysis on semisimple Lie groups, Bull. Amer. Math. Soc. 76 (1970), 529–551.
S. Helgason, Applications of the Radon transform to representations of semisimple Lie groups, Proc. Nat. Acad. Sci. U. S. A. 63 (1969), 643–647.
—, A duality for symmetric spaces with applications to group representations, to appear.
A. W. Knapp and E. M. Stein, Singular integrals and the principal series, Proc. Nat. Acad. Sci. U. S. A. 63 (1969), 281–284; II, ibid., to appear.
B. Kostant, Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math. (2) 74 (1961), 329–387.
—, On the existence and irreducibility of certain series of representations, Bull. Amer. Math. Soc. 75 (1969), 627–642.
R. A. Kunze and E. M. Stein, Uniformly bounded representations, III, Amer. J. Math. 89 (1967), 385–442.
M. S. Narasimhan and K. Okamoto, An analogue of the Borel-Weil-Bott theorem for hermitian symmetric pairs of noncompact type, Ann. of Math. (2) 91 (1970), 486–511.
K. R. Parthasarathy, R. Ranga-Rao and V. S. Varadarajan, Representations of complex semisimple Lie groups and Lie algebras, Ann. of Math. (2) 85 (1967), 383–429.
W. Schmid, On a conjecture of Langlands, Ann. of Math., 1970.
N. R. Wallach, Cyclic vectors and irreducibility for principal series representations, to appear.
Garth Warner, Harmonic analysis on semisimple Lie groups, Springer-Verlag, Berlin-Heidelberg-New York, to appear about 1971.
J. A. Wolf, The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components, Bull. Amer. Math. Soc. 75 (1969), 1121–1237.
—, II: Unitary representations on partially holomorphic cohomology spaces, to appear.
—, III: Induced representations based on hermitian symmetric spaces, in preparation.
D. P. Zelobenko, Analysis of irreducibility in the class of elementary representations of a complex semisimple Lie group, Math. USSR-Izv. 2 (1968), 105–128.
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Wolf, J.A. (1971). Complex manifolds and unitary representations. In: Horváth, J. (eds) Several Complex Variables II Maryland 1970. Lecture Notes in Mathematics, vol 185. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058772
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DOI: https://doi.org/10.1007/BFb0058772
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