An explicit expression of the Harish-Chandra $C$-function of ${SU}\left( {n,1} \right)$ associatedto the ${Ad}\left( K \right)$ representation
Masaaki Eguchi, Mari Miyamoto, and Ryoko Wada
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 68, Number 8
(1992), 232-236.
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Permanent link to this document: http://projecteuclid.org/euclid.pja/1195511678
Mathematical Reviews number (MathSciNet): MR1193189
Zentralblatt MATH identifier: 0784.22005
Digital Object Identifier: doi:10.3792/pjaa.68.232
References
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Mathematical Reviews (MathSciNet): MR422509
Zentralblatt MATH: 0342.33026
[2] M. Eguchi and S. Tanaka: The explicit representation of the determinant of Harish-Chandra's C-function in SL(3, R) and SL(4, R) cases. Hiroshima Math. J.,22, 57-93 (1992).
Mathematical Reviews (MathSciNet): MR1160039
Zentralblatt MATH: 0760.22015
Project Euclid: euclid.hmj/1206128610
[3] Harish-Chandra: Harmonic analysis on real reductive groups. II. Wave packets in the Schwartz space. Invent Math., 36, 1-55 (1976).
Mathematical Reviews (MathSciNet): MR439993
Zentralblatt MATH: 0341.43010
Digital Object Identifier: doi:10.1007/BF01390004
[4] Harish-Chandra: Harmonic analysis on real reductive groups. III. The Maass-Selberg relations and the Plancherel formula. Ann. of Math., 104, 117-201 (1976).
Mathematical Reviews (MathSciNet): MR439994
Zentralblatt MATH: 0331.22007
Digital Object Identifier: doi:10.2307/1971058
JSTOR: links.jstor.org
[5] J. Sekiguchi: On Harish-Chandra's C-function. Seminar Reports of Unitary Representation, no. 1 (1981) (in Japanese).
[6] S. Tanaka: On the representation of the determinant of Harish-Chandra's C-function of SL(n, R). Pacific J. Math., 153, 343-368 (1992).
Mathematical Reviews (MathSciNet): MR1151566
Zentralblatt MATH: 0784.22007
Project Euclid: euclid.pjm/1102635837
[7] N. R. Wallach: Harmonic Analysis on Homogeneous Spaces. Marcel Dekker, New York (1973).
Mathematical Reviews (MathSciNet): MR498996
Zentralblatt MATH: 0265.22022
Proceedings of the Japan Academy, Series A, Mathematical Sciences
