%0 Journal Article %T The residual spectrum of $U(n,n)$; contribution from Borel subgroups %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Kim, H.H. %D 2017 %\ 08/30/2017 %V 43 %N Issue 4 (Special Issue) %P 191-219 %! The residual spectrum of $U(n,n)$; contribution from Borel subgroups %K Automorphic representation‎ %K ‎spectral decomposition‎ %K ‎residual spectrum %R %X ‎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. %U http://bims.iranjournals.ir/article_1161_a33d53582f882923757a3f443d122c2a.pdf