On Kirillov's conjecture for archimedean fields

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1. [B] J. Bernstein, P-invariant distribution on GL(n) and the classification of unitary representations of GL(n) (non-Archimedean case), in Lie Group Representations II, Proceedings, University of Maryland (1982-1983). Zbl0541.22009MR748505
2. [BZ] J. Bernstein and A. Zelevinsky, Induced representations of reductive p-adic groups I, Ann. Scient. Ec. Norm. Sup.10 (1977) 441-472. Zbl0412.22015MR579172
3. [Ge] S. Gelbart, Fourier Analysis on Matrix Space, Mem. Amer. Math. Soc. No. 108 (1971). Zbl0227.43016MR492066
4. [H] R. Howe, On a notion of rank for unitary representations of the classical groups, Harmonic Analysis and Group Representations, Proceedings, C.I.M.E. II ciclo 1980, Liguori Editore, Naples (1980). MR777342
5. [K] A.A. Kirillov, Infinite-dimensional representations of the general linear group, Dokl. Akad. Nauk SSSR144 (1962) 36-39(= Soviet Math. Dokl. 3 (1962) 652-655). Zbl0119.26804MR139691
6. [KS] A. Knapp and E. Stein, Intertwining operators for SL (n, R), Essays in Honor of Valentine Bargmann, Studies in Mathematical Physics, Princeton University Press, Princeton, New Jersey (1976). Zbl0334.22011
7. [L] S. Lang, SL (2, R), Addison-Wesley Publishing Company, Reading, Massachusetts (1975). Zbl0311.22001
8. [M] G. Mackey, Induced representations of locally compact groups I, Ann. of Math.55 (1952) 101-139. Zbl0046.11601MR44536
9. [S] S. Sahi, A simple construction of Stein's complementary series representations, to appear in Proc. Amer. Math. Soc. Zbl0714.22013MR984813
10. [Sc] R. Scaramuzzi, Unitary representations of small rank of general linear groups, Ph.D. dissertation, Yale University, New Haven, Connecticut (1985). 
11. [St] E. Stein, Analysis in matrix space and some new representations of SL(n, C), Ann. of Math.86 (1967) 461-490. Zbl0188.45303MR219670
12. [T] M. Tadic, Solution of the unitarizability problem for the general linear group (non-archimedean case), Ann, Scient. Ec. Norm. Sup.19 (1986) 335-382. Zbl0614.22005
13. [T1] M. Tadic, Unitary representations of the general linear group over the real and complex fields, preprint. 
14. [V] D. Vogan, The unitary dual of GL(n) over an archimedean field, Invent. Math.83 (1986) 449-505. Zbl0598.22008MR827363
15. [W] N. Wallach, Cyclic vectors and irreducibility for principal series representations, Trans. Amer. Math. Soc.158 (1971) 107-113. Zbl0227.22016MR281844
16. [Wr] G. Warner, Harmonic Analysis on Semi-Simple Lie Groups I, Springer-Verlag, Berlin- Heidelberg- New York (1972). Zbl0265.22020MR498999