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On some results of Strichartz and of Rallis and Schiffman. (English) Zbl 0408.22018


MSC:

22E50 Representations of Lie and linear algebraic groups over local fields
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[1] Bochner, S., Theta relations with spherical harmonics, (Proc. Nat. Acad. Sci. USA, 37 (1951)), 804-808 · Zbl 0044.07501
[2] Gelbart, S., Holomorphic discrete series for the real symplectic group, Invent. Math., 19, 49-58 (1973) · Zbl 0236.22013
[3] R. Howe; R. Howe · Zbl 0674.15021
[4] M. Kashiwara and M. Vergne; M. Kashiwara and M. Vergne · Zbl 0375.22009
[5] S. Rallis and G. SchiffmanMem. Amer. Math. Soc.; S. Rallis and G. SchiffmanMem. Amer. Math. Soc.
[6] \( \textsc{J. Repka} SL_2R\)Amer. J. Math.; \( \textsc{J. Repka} SL_2R\)Amer. J. Math. · Zbl 0337.22015
[7] Saito, M., Représentations unitaires des groupes symplectiques, J. Math. Soc. Japan, 2, 232-251 (1972) · Zbl 0232.22025
[8] Strichartz, R., Harmonic analysis on hyperboids, J. Functional Analysis, 12, 341-383 (1973) · Zbl 0253.43013
[9] Strichartz, R., Fourier transforms and non-compact rotation groups, Indiana Univ. Math. J., 24, 499-526 (1974) · Zbl 0295.42015
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