Howe, Roger On some results of Strichartz and of Rallis and Schiffman. (English) Zbl 0408.22018 J. Funct. Anal. 32, 297-303 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 22 Documents MSC: 22E50 Representations of Lie and linear algebraic groups over local fields Keywords:Oscillator Representation; Isometry Group; Standard Quadratic Form; Unitary Representation PDFBibTeX XMLCite \textit{R. Howe}, J. Funct. Anal. 32, 297--303 (1979; Zbl 0408.22018) Full Text: DOI References: [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.