Discrete Series Whittaker Functions of $SU(n, 1)$ and $Spin(2n, 1)$
Vol. 3 (1996), No. 2, Page 331--377.
Taniguchi, Kenji
Discrete Series Whittaker Functions of $SU(n, 1)$ and $Spin(2n, 1)$
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Abstract:
The Mellin transform of Whittaker functions gives the archimedean factor of the automorphic $L$-functions. Hence it is very important to obtain explicit formulae of Whittaker functions. In this paper, we obtain explicit formulae of discrete series Whittaker functions of $SU(n, 1)$ and $Spin(2n, 1)$ $(n\geq2)$.
Mathematics Subject Classification (1991): Primary 22E30; Secondary 22E46, 11F30, 33C15
Mathematical Reviews Number: MR1424434
Received: 1995-05-16
