Skip to main content
Log in

On singular holomorphic representations

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Gross, K., Kunze, R.: Bessel functions and representation theory I, II, J. Functional Analysis22, 73–105 (1976);25, 1–49 (1977)

    Article  Google Scholar 

  2. Gross, K., Holman, W.: Matrix-valued special functions and representation theory of the conformal group, I: The generalized gamma function. Preprint 1977

  3. Harish-Chandra: Representations of semi-simple Lie groups IV, V, Amer. J. Math.77, 743–777 (1965);78, 1–41 (1956)

    Google Scholar 

  4. Jakobsen, H.P., Vergne, M.: Wave and Dirac operators and representations of the conformal group. J. Functional Analysis24, 52–106 (1977)

    Article  Google Scholar 

  5. Jakobsen, H.P.: Tensor products, reproducing kernels, and power series, J. Functional Analysis31, 293–305 (1979)

    Article  Google Scholar 

  6. Jakobsen, H.P., Vergne, M.: Restrictions and expansions of holomorphic representations, J. Functional Analysis34, 29–53 (1979)

    Article  Google Scholar 

  7. James, G.D.: The Representation Theory of the Symmetric Groups, Lecture Notes in Math. 682, Berlin-Heidelberg-New York: Springer Verlag 1978

    Google Scholar 

  8. Kashiwara, M., Vergne, M.: On the Segal-Shale-Weil representation and harmonic polynomials, Invent. Math.44, 1–47 (1978)

    Article  Google Scholar 

  9. Mack, G.: All unitary ray representations of the conformal groupSU(2,2) with positive energy, Comm. Math. Phys.55, 1–28 (1977)

    Google Scholar 

  10. Parthasarathy, R.: Criteria for the unitarizability of some highest weight modules. Preprint 1978

  11. Rossi, H., Vergne, M.: Analytic continuation of the holomorphic discrete series of a semi-simple Lie group, Acta Math.136, 1–59 (1976)

    Google Scholar 

  12. Schmid, W.: Die Randwerte holomorpher Funktionen auf Hermitesch symmetrischen Räumen, Invent. Math.9, 61–80 (1969)

    Article  Google Scholar 

  13. Schur, I.: Dissertation, Berlin, 1901

  14. Wallach, N.: The analytic continuation of the discrete series I, II, to appear in Trans. Amer. Math. Soc.

  15. Williams, F.: Unitarizable highest weight modules of the conformal group. Preprint 1979

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was supported in part by NSF grant MCS 77-07596

Rights and permissions

Reprints 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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01391663

Keywords

Navigation