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.
Kim, H. (2017). The residual spectrum of $U(n,n)$; contribution from Borel subgroups. Bulletin of the Iranian Mathematical Society, 43(Issue 4 (Special Issue)), 191-219.
MLA
H.H. Kim. "The residual spectrum of $U(n,n)$; contribution from Borel subgroups". Bulletin of the Iranian Mathematical Society, 43, Issue 4 (Special Issue), 2017, 191-219.
HARVARD
Kim, H. (2017). 'The residual spectrum of $U(n,n)$; contribution from Borel subgroups', Bulletin of the Iranian Mathematical Society, 43(Issue 4 (Special Issue)), pp. 191-219.
VANCOUVER
Kim, H. The residual spectrum of $U(n,n)$; contribution from Borel subgroups. Bulletin of the Iranian Mathematical Society, 2017; 43(Issue 4 (Special Issue)): 191-219.