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References
Barbasch, D.: The unitary dual of complex classical Lie groups. Invent. Math.96 (1989), 103–176
Cowling, M., Haagerup, U., Howe, R.: AlmostL 2 matrix coefficients. J. reine angew. Math.387 (1988), 97–110
Fell, J.: The dual spaces ofC *-algebras. Trans. Amer. Math. Soc.94 (1960), 364–403
Helgason, S.: Differential Geometry, Lie Groups and Symmetric Spaces. Academic Press, New York, 1978
Howe, R.: On a notion of rank for unitary representations of classical groups. Harmonic Analysis and Group Representations, Proc. C.I.M.E. (1980), 223–232
Howe, R., Moore, C.: Asymptotic properties of unitary representations. J. Fun. Anal.32 (1979), 72–96
Hausner, M., Schwartz, J.: Lie Groups, Lie Algebras. Gordon and Breach, New York, 1968
Kazhdan, D.: Connection of dual space of a group with the structure of its closed subgroups. Functional Anal. Appl.1 (1967), 63–65
Kazhdan, D., Savin, G.: Festschrift in honor of I. Piatetski-Shapiro. Israel Math Conference Proceedings, vol. 3, 1990
Li, J.: The minimal decay of matrix coefficients for classical groups. Preprint (1993)
Scaramuzzi, R.: A notion of rank for unitary representations of general linear groups. Trans. Amer. Math. Soc.319 (1990), 349–379
Shale, D.: Linear symmetries of free boson fields. Trans. Amer. Math. Soc.103 (1962), 149–167
Weil, A.: Sur certains groups d'operateurs unitaires. Acta Math.111 (1964), 143–211
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Research partially supported by NSF grant DMS-9203142
The first version of the article was written in the spring of 1991 when the second author was visiting the University of Maryland, to which he expresses his gratitude
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Li, JS., Zhu, CB. On the decay of matrix coefficients for exceptional groups. Math. Ann. 305, 249–270 (1996). https://doi.org/10.1007/BF01444220
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DOI: https://doi.org/10.1007/BF01444220