Keywords
- Symmetric Space
- Weyl Group
- Weyl Chamber
- Iwasawa Decomposition
- Plancherel Measure
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References
Duistermaat, J.J., Kolk, J.A.C., and Varadarajan, V.S., Spectra of compact locally symmetric manifolds of negative curvature, Inv. Math. 52 (1979), 27–93.
Gangolli, R., On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups, Ann. of Math. 93 (1971), 150–165.
Harish-Chandra, Spherical functions on a semisimple Lie group I, II, Am. J. Math. 80 (1958), 241–310, 553–613.
Heckman, G.J., Projections of orbits and asymptotic behaviour of multiplicities for compact Lie groups, Thesis, Leiden.
Kashiwara, M. e. a., Eigenfunctions of invariant differential operators on a symmetric space, Ann. of Math. 107 (1978), 1–39.
Kostant, B., On convexity, the Weyl group and the Iwasawa decomposition, Ann. Sci. Ec. Norm. Sup. 6 (1973), 413–455.
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© 1982 Springer-Verlag Berlin Heidelberg
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Duistermaat, J.J. (1982). Asymptotics of elementary spherical functions. In: Doebner, HD., Andersson, S.I., Petry, H.R. (eds) Differential Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 905. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092430
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DOI: https://doi.org/10.1007/BFb0092430
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Print ISBN: 978-3-540-11197-9
Online ISBN: 978-3-540-39002-2
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