References
Gross, K., Kunze, R.: Bessel functions and representation theory I, II, J. Functional Analysis22, 73–105 (1976);25, 1–49 (1977)
Gross, K., Holman, W.: Matrix-valued special functions and representation theory of the conformal group, I: The generalized gamma function. Preprint 1977
Harish-Chandra: Representations of semi-simple Lie groups IV, V, Amer. J. Math.77, 743–777 (1965);78, 1–41 (1956)
Jakobsen, H.P., Vergne, M.: Wave and Dirac operators and representations of the conformal group. J. Functional Analysis24, 52–106 (1977)
Jakobsen, H.P.: Tensor products, reproducing kernels, and power series, J. Functional Analysis31, 293–305 (1979)
Jakobsen, H.P., Vergne, M.: Restrictions and expansions of holomorphic representations, J. Functional Analysis34, 29–53 (1979)
James, G.D.: The Representation Theory of the Symmetric Groups, Lecture Notes in Math. 682, Berlin-Heidelberg-New York: Springer Verlag 1978
Kashiwara, M., Vergne, M.: On the Segal-Shale-Weil representation and harmonic polynomials, Invent. Math.44, 1–47 (1978)
Mack, G.: All unitary ray representations of the conformal groupSU(2,2) with positive energy, Comm. Math. Phys.55, 1–28 (1977)
Parthasarathy, R.: Criteria for the unitarizability of some highest weight modules. Preprint 1978
Rossi, H., Vergne, M.: Analytic continuation of the holomorphic discrete series of a semi-simple Lie group, Acta Math.136, 1–59 (1976)
Schmid, W.: Die Randwerte holomorpher Funktionen auf Hermitesch symmetrischen Räumen, Invent. Math.9, 61–80 (1969)
Schur, I.: Dissertation, Berlin, 1901
Wallach, N.: The analytic continuation of the discrete series I, II, to appear in Trans. Amer. Math. Soc.
Williams, F.: Unitarizable highest weight modules of the conformal group. Preprint 1979
Author information
Authors and Affiliations
Additional information
This research was supported in part by NSF grant MCS 77-07596
Rights and permissions
About this article
Cite this article
Jakobsen, H.P. On singular holomorphic representations. Invent Math 62, 67–78 (1980). https://doi.org/10.1007/BF01391663
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01391663