Explicit Hilbert spaces for certain unipotent representations II

Inventiones Mathematicae

Volumn 138, Issue 1, 1999, Pages 203-224

  Dvorsky, Alexander ^a   Sahi, Siddhartha ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033239079     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050347     Document Type: Article

References (16)

1. [A] Adams, J.F., Lectures on exceptional Lie groups, University of Chicago Press, Chicago 1996
2. [BK] Braun, H. and Koecher, M., Jordan-Algebren, Springer, Berlin - New York 1966
3. [Br] Brylinski, R., Geometric Quantization of Real Minimal Nilpotent Orbits, preprint (math.SG/9811033)
4. [DS] Dvorsky, A. and Sahi, S., Tensor products of singular representations and an extension of the θ -correspondence, Selecta Math. 4 (1998), 11-29
5. [H] Huang, J.-S., Minimal representations, shared orbits and dual pair correspondences, Internat. Math. Res. Notices 1995, 309-323
6. [Ke] Kestelman, H., Modern theories of integration, Clarendon Press, Oxford 1937
7. [KS] Kostant, B. and Sahi, S., Jordan algebras and Capelli identities, Invent. Math. 112 (1993), 657-664
8. [KW] Koranyi, A. and Wolf, J., Realization of hermitian symmetric spaces as generalized half-planes, Ann. of Math. 81 (1965), 265-288
9. [Li] Li, J.-S., Singular unitary representations of classical groups, Invent. Math. 97 (1989), 237-255
10. [Lo] Loos, O., Bounded symmetric domains and Jordan pairs, Mathematical Lectures, University of California, Irvine 1977
11. [P] Poguntke, D., Unitary representations of Lie groups and operators of finite rank, Ann. of Math. (2) 140 (1994), 503-556
12. [S1] Sahi, S., Explicit Hilbert spaces for certain unipotent representations, Invent. Math. 110 (1992), 409-418
13. [S2] Sahi, S., Unitary representations on the Shilov boundary of a symmetric tube domain, Contemp. Math. v. 145 (1993), 275-286
14. [S3] Sahi, S., Jordan algebras and degenerate principal series, J. reine angew. Math. 462 (1995), 1-18
15. [T] Torasso, P., Méthode des orbites de Kirillov-Duflo et représentations minimales des groupes simples sur un corps local de caractéristique nulle, Duke Math. J. 90 (1997), 261-377
16. [W] Watson, G., A treatise on the theory of Bessel functions, University Press, Cambridge 1922