Expansions for eisenstein integrals on semisimple symmetric spaces

Arkiv for Matematik

Volumn 35, Issue 1, 1997, Pages 59-86

  Van Den Ban, Erik P ^a   Schlichtkrull, Henrik ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039646691     PISSN: 00042080     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02559593     Document Type: Article

References (13)

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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.
3. VAN DEN BAN, E. P., The principal series for a reductive symmetric space II. Eisenstein integrals, J. Funct. Anal. 109 (1992), 331-441.
4. VAN DEN BAN, E. P. and SCHLICHTKRULL, H., Fourier transforms on a semisimple symmetric space, Preprint no. 888, Universiteit Utrecht, November 1994.
5. VAN DEN BAN, E. P. and SCHLICHTKRULL, 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. and KOIZUMI, 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.
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.
8. HELGASON, S., Groups and Geometric Analysis, Academic Press, Orlando, Fla., 1984.
9. HELGASON, S., Geometric Analysis on Symmetric Spaces, Amer. Math. Soc., Providence, R. I., 1994.
10. OSHIMA, T. and SEKIGUCHI, J., Eigenspaces of invariant differential operators on a semisimple symmetric space, Invent. Math. 57 (1980), 1-81.
11. SCHLICHTKRULL, H., Hyperfunctions and Harmonic Analysis on Symmetric Spaces, Birkhäuser, Boston, Mass., 1984.
12. WALLACH, N., The powers of the resolvent on a locally symmetric space, Bull. Soc. Math. Belg. Ser. A 42 (1990), 777-795.
13. WARNER, G., Harmonic Analysis on Semi-Simple Lie Groups II, Springer-Verlag, New York-Heidelberg, 1972.