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Asymptotics of elementary spherical functions

III. Differential Operators on Manifolds

Part of the Lecture Notes in Mathematics book series (LNM,volume 905)

Keywords

  • Symmetric Space
  • Weyl Group
  • Weyl Chamber
  • Iwasawa Decomposition
  • Plancherel Measure

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References

  1. 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.

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  2. 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.

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  3. Harish-Chandra, Spherical functions on a semisimple Lie group I, II, Am. J. Math. 80 (1958), 241–310, 553–613.

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  4. Heckman, G.J., Projections of orbits and asymptotic behaviour of multiplicities for compact Lie groups, Thesis, Leiden.

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  5. Kashiwara, M. e. a., Eigenfunctions of invariant differential operators on a symmetric space, Ann. of Math. 107 (1978), 1–39.

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  6. 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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11197-9

  • Online ISBN: 978-3-540-39002-2

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