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Expansions for Eisenstein integrals on semisimple symmetric spaces

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References

  1. Arthur, J., A Paley-Wiener theorem for real reductive groups,Acta Math. 150 (1983), 1–89.

    Article  MathSciNet  Google Scholar 

  2. van den Ban, E. P., Asymptotic behaviour of matrix coefficients related to reductive symmetric spaces,Nederl. Akad. Wetensch. Indag. Math. 49 (1987), 225–249.

    MathSciNet  Google Scholar 

  3. van den Ban, E. P., The principal series for a reductive symmetric space II. Eisenstein integrals,J. Funct. Anal. 109 (1992), 331–441.

    Article  MathSciNet  Google Scholar 

  4. van den Ban, E. P. andSchlichtkrull, H., Fourier transforms on a semisimple symmetric space,Preprint no. 888, Universiteit Utrecht, November 1994.

  5. van den Ban, E. P. andSchlichtkrull, H., The most continuous part of the Plancherel decomposition for a reductive symmetric space,Preprint no. 921, Universiteit Utrecht, August 1995, to appear in Ann. of Math.

  6. Eguchi, M., Hashizume, M. andKoizumi, S., The Gangolli estimates for the coefficients of the Harish-Chandra expansions of the Eisenstein integrals on real reductive Lie groups,Hiroshima Math. J. 17 (1987), 457–469.

    MathSciNet  Google Scholar 

  7. 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.

    Article  MathSciNet  Google Scholar 

  8. Helgason, S.,Groups and Geometric Analysis, Academic Press, Orlando, Fla., 1984.

    MATH  Google Scholar 

  9. Helgason, S.,Geometric Analysis on Symmetric Spaces, Amer. Math. Soc., Providence, R. I., 1994.

    MATH  Google Scholar 

  10. Oshima, T. andSekiguchi, J., Eigenspaces of invariant differential operators on a semisimple symmetric space,Invent. Math. 57 (1980), 1–81.

    Article  MathSciNet  Google Scholar 

  11. Schlichtkrull, H.,Hyperfunctions and Harmonic Analysis on Symmetric Spaces, Birkhäuser, Boston, Mass., 1984.

    MATH  Google Scholar 

  12. Wallach, N., The powers of the resolvent on a locally symmetric space,Bull. Soc. Math. Belg. Ser. A 42 (1990), 777–795.

    MathSciNet  Google Scholar 

  13. Warner, G.,Harmonic Analysis on Semi-Simple Lie Groups II, Springer-Verlag, New York-Heidelberg, 1972.

    MATH  Google Scholar 

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van den Ban, E.P., Schlichtkrull, H. Expansions for Eisenstein integrals on semisimple symmetric spaces. Ark. Mat. 35, 59–86 (1997). https://doi.org/10.1007/BF02559593

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