Real Shintani Functions on $U(n,1)$ III, Construction of Intertwining Operators
Vol. 9 (2002), No. 1, Page 165--215.
Tsuzuki, Masao
Real Shintani Functions on $U(n,1)$ III, Construction of Intertwining Operators
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Abstract:
We study an integral transform on $\sU(n,1)$ (Poisson integral) in detail. As an application, we obtain a precise formula of the dimension of the space of $\sU(n-1,1) Ã \sU(n,1)$-intertwining operators from an irreducible admissible representaion $Ï_0\boxtimes Ï$ to the space of smooth functions on $\sU(n,1)$ in several cases including when $Ï_0$ and $Ï$ are large discrete series of $\sU(n-1,1)$ and $\sU(n,1)$ respectively.
Mathematics Subject Classification (1991): Primary 11F70; Secondary 22E46, 33C05, 11F67
Mathematical Reviews Number: MR1889224
Received: 2001-01-29
