TY - JOUR ID - 1161 TI - The residual spectrum of $U(n,n)$; contribution from Borel subgroups JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Kim, H.H. AD - Y1 - 2017 PY - 2017 VL - 43 IS - Issue 4 (Special Issue) SP - 191 EP - 219 KW - Automorphic representation‎ KW - ‎spectral decomposition‎ KW - ‎residual spectrum DO - N2 - ‎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. UR - http://bims.iranjournals.ir/article_1161.html L1 - http://bims.iranjournals.ir/article_1161_a33d53582f882923757a3f443d122c2a.pdf ER -