The action of intertwining operators on spherical vectors in the minimal principal series of a reductive symmetric space

Indagationes Mathematicae

Volumn 8, Issue 3, 1997, Pages 317-347

  Van Den Ban, E P ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

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[No Author keywords available]

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EID: 0031590244     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(97)81814-9     Document Type: Article

References (14)

1. 1. Ban, E.P. van den - The principal series for a reductive symmetric space I. H-fixed distribution vectors. Ann. Sci. Ec. Norm. Sup. 21, 359-412 (1988).
2. 2. Ban, E.P. van den - The principal series for a reductive symmetric space II. Eisenstein integrals. J. Func. Anal. 109, 331 - 441 (1992).
3. 3. Ban, E.P. van den and H. Schlichtkrull - Multiplicities in the Plancherel decomposition for a semisimple symmetric space. Contemporary Math. 145, 163-180 (1993).
4. 4. Ban, E.P. van den and H. Schlichtkrull - Fourier transforms on a semisimple symmetric space. Preprint 888, University of Utrecht (1994).
5. 5. Ban, E.P. van den and H. Schlichtkrull - The most continuous part of the Plancherel decomposition for a reductive symmetric space. Ann. Math. 145, 267-364 (1997).
6. 6. Ban, E. van den, M. Flensted-Jensen and H. Schlichtkrull - Basic harmonic analysis on pseudo-Riemannian symmetric spaces. In: Noncompact Lie Groups and Some of Their Applications (E.A. Tanner and R. Wilson, eds.), Kluwer, Dordrecht, 69-101 (1994).
7. 7. Carmona, J. and P. Delorme - Transformation Fourier pour les espaces symétriques réductifs. Preprint Luminy (1996).
8. 8. Duistermaat, J.J., J.A.C. Kolk and V.S. Varadarajan - Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groups. Compositio Math. 49, 309-398 (1983).
9. 9. Helgason, S. - Differential geometry, Lie Groups, and Symmetric Spaces. Acad. Press, New York (1978).
10. 10. Hochschild, G. - The Structure of Lie Groups. Holden-Day, Inc., San Francisco (1965).
11. 11. Knapp, A.W. and E.M. Stein - Intertwining operators for semisimple Lie groups, II. Invent. Math. 60, 9-84 (1980).
12. 12. Oshima, T. and J. Sekiguchi - Eigenspaces of invariant differential operators on a semisimple symmetric space. Invent. Math. 57, 1-81 (1980).
13. 13. Schlichtkrull, H. - Hyperfunctions and Harmonic Analysis on Symmetric Spaces. Birkhäuser, Boston (1984).
14. 14. Wiggerman, M. - The fundamental group of a real flag manifold. Report No. 9544, University of Nijmegen (1995).