The residual spectrum of $U(n,n)$; contribution from Borel subgroups
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Abstract:
In this paper we study the residual spectrum of the quasi-split unitary group $G=U(n,n)$ defined over a number field $F$, coming from the Borel subgroups, $L_{dis}^2(G(F)backslash G(Bbb A))_T$. Due to lack of information on the local results, that is, the image of the local intertwining operators of the principal series, our results are incomplete. However, we describe a conjecture on the residual spectrum and prove a certain special case by using the Knapp-Stein $R$-group of the unitary group.
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Journal title
volume 43 issue Issue 4 (Special Issue)
pages 191- 219
publication date 2017-08-30
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