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Singular unitary representations of classical groups

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References

  1. Adams, J.: Discrete spectrum of the dual reductive pair (O(p, q), Sp(2m)). Invent. Math.74, 449–475 (1984)

    Google Scholar 

  2. Bruhat, F., Tits, J.: Groupes reductifs sur un corps local, Chapters I, II. Publ. Math. Institu Hautes Etudes Scientifiques41, 5–251 (1972)

    Google Scholar 

  3. Casselman, W.: Introduction to the theory of admisssible representation ofp-adic reductive groups (Preprint)

  4. Gelbart, S.: Examples of dual reductive pairs. Proc. Symp. Pure Math.33, 287–296 (1979)

    Google Scholar 

  5. Howe, R.: ϑ-series and invariant theory. Proc. Symp. Pure Math.33, Am. Math. Soc.: Providence 1979

    Google Scholar 

  6. Howe, R.:L 2-duality in the stable range (Preprint)

  7. Howe, R.: A notion of rank for unitary representations of classical groups. C.I.M.E. Summer School on Harmonic analysis. Cortona 1980

    Google Scholar 

  8. Howe, R.: Small unitary Representations of Classical groups. In: Moore, C.C. (ed.) Group representations, ergodic theory, operator algebras and math. physics. Proceedings of a Conference in honor of C.W. Mackey, M.S.R.I., Publ. No. 6, New York Berlin Heidelberg: Springer 1986, pp. 121–150

    Google Scholar 

  9. Harish-Chandra: Invariant eigendistributions on a semi-simple Lie algebra. I.H.E.S.27, 1965

  10. Langlands, R.P.: On the classification of irreducible representations of real algebraic groups (Preprint 1973)

  11. Li, J.: Theta Series and distinguished representations of Symplectic Groups. Thesis, Yale University 1987

  12. Li, J.: Distinguished cusp forms are theta series (Preprint)

  13. Mackey, G.: Unitary representations of group extensions. Acta Math.99, 265–301 (1958)

    Google Scholar 

  14. Moeglin, C.: Correspondance de Howe pour les paires reductives duales, Quelques Calculs dans le Cas Archimedien (Preprint)

  15. Prezbinda, T.: On Howe's duality theorem. J. Funct. Anal. (to appear)

  16. Scaramuzzi, R.: A notion of rank for unitary representations of general linear groups. Thesis, Yale University 1985

  17. Silberger, A.: The Langlands quotient theorem forp-adic groups. Math. Ann.236, 95–104 (1978)

    Google Scholar 

  18. Vogan, D.: Unitary Representations of reductive Lie Groups. Ann. Math. Stud.118, 1987

  19. Vogan, D.: Representations of Reductive Lie Group, International Congress of Mathematician, Berkeley, 1986

  20. Weil, A.: Sur certains groups d'operateurs unitaires. Acta Math.111, 142–211 (1964)

    Google Scholar 

  21. Weil, A.: Sur la formulae de Siegel dans la theorie des groupes classiques. Acta Math.113, 1–87 (1965)

    Google Scholar 

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Li, JS. Singular unitary representations of classical groups. Invent Math 97, 237–255 (1989). https://doi.org/10.1007/BF01389041

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