Strichartz, Robert S. Harmonic analysis on hyperboloids. (English) Zbl 0253.43013 J. Funct. Anal. 12, 341-383 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 53 Documents MSC: 43A85 Harmonic analysis on homogeneous spaces 22E43 Structure and representation of the Lorentz group PDFBibTeX XMLCite \textit{R. S. Strichartz}, J. Funct. Anal. 12, 341--383 (1973; Zbl 0253.43013) Full Text: DOI References: [1] Gelfand, I. M.; Graev, M. I.; Vilenkin, N. Ja, (Generalized Functions, Vol. 5 (1966), Academic Press) [2] Helgason, S., Lie Groups and Symmetric Spaces, (“Battelle Rencontres,” 1967. “Battelle Rencontres,” 1967, Lectures in Mathematics and Physics (1968), Benjamin) · Zbl 0177.50601 [3] Molčanov, V. F., Harmonic Analysis on a Hyperboloid of one sheet, Soviet Math. Dokl., 7, 1553-1556 (1966) · Zbl 0176.44303 [4] Molčanov, V. F., Analogue of the Plancherel Formula for Hyperboloids, Soviet Math. Dokl., 9, 1382-1385 (1968) · Zbl 0176.44304 [5] Riesz, M., L’intégral de Riemann-Liouville et le problème de Cauchy, Acta Math., 8, 1-223 (1949) · Zbl 0033.27601 [6] Shintani, T., On the decomposition of regular representation of the Lorentz group on a hyperboloid of one sheet, (Proc. Japan Acad., 43 (1967)), 1-5 · Zbl 0184.17403 [7] Strichartz, R., The stationary observer problem for □\(u = Mu\) and related equations, J. Differential Equations, 9, 205-223 (1971) · Zbl 0216.12803 [8] Takahashi, R., Sur les représentations unitaires des groupes de Lorentz généralisés, Bull. Soc. Math. France, 91, 289-433 (1963) · Zbl 0196.15501 [9] Vilenkin, N. Ja, Special functions and the theory of group representations, Amer. Math. Soc. Transl., 22 (1968) [10] Limic, N.; Niederle, J.; Raczka, R., Discrete degenerate representations of noncompact rotation groups, J. Math. Phys., 7, 1861-1876 (1966) · Zbl 0163.22802 [11] Limic, N.; Niederle, J.; Raczka, R., Continuous degenerate representations of noncompact rotation groups, J. Math. Phys., 7, 2026-2035 (1966) · Zbl 0158.45805 [12] Limic, N.; Niederle, J.; Raczka, R., Eigenfunction expansions associated with the second-order invariant operator on hyperboloids and cones, J. Math. Phys., 8, 1079-1093 (1967) · Zbl 0173.30102 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.