02881nam 2200589 450 991080807210332120170918215940.01-4704-0336-6(CKB)3360000000464927(EBL)3114481(SSID)ssj0000973922(PQKBManifestationID)11559250(PQKBTitleCode)TC0000973922(PQKBWorkID)10985123(PQKB)11352336(MiAaPQ)EBC3114481(RPAM)12585669(PPN)195416295(EXLCZ)99336000000046492720011109h20022002 uy| 0engur|n|---|||||txtccrSpectral decomposition of a covering of GL(r) the Borel case /Heng SunProvidence, Rhode Island :American Mathematical Society,[2002]©20021 online resource (79 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 743"March 2002, volume 156, number 743 (fourth of 5 numbers)."0-8218-2775-8 Includes bibliographical references and index.""Contents""; ""Introduction""; ""Chapter 1. Preliminaries""; ""1.1. The Group""; ""1.2. The Diagonal Subgroup and Its Representations""; ""1.3. Intertwining Operators""; ""1.4. Product of Two Intertwining Operators""; ""1.5. Normalization of Intertwining Operators""; ""1.6. The Special Value of an Intertwining Operator""; ""1.7. The Langlands Quotient""; ""Chapter 2. Local Intertwining Operators""; ""2.1. Irreducibility and Intertwining Operators""; ""2.2. Speh Modules (p-adic Case)""; ""2.3. The Principal Lemma""; ""2.4. Generalization and Completion of the Proof""""2.5. The Complex Case""""Chapter 3. Spectrum Associated with the Diagonal Subgroup""; ""3.1. The Global Metaplectic Group""; ""3.2. Representations of Metaplectic Groups""; ""3.3. Statement of the Problem""; ""3.4. Representations of the Diagonal Subgroup""; ""3.5. The Main Theorem""; ""Chapter 4. Contour Integration (after MW)""; ""4.1. Holomorphy at the Origin of a Singular Hyper-plane""; ""4.2. Corollaries""; ""4.3. Residues by Induction""; ""Bibliography""; ""Index""Memoirs of the American Mathematical Society ;no. 743.Eisenstein seriesSpectral theory (Mathematics)Decomposition (Mathematics)Eisenstein series.Spectral theory (Mathematics)Decomposition (Mathematics)510 s515/.243Sun Heng1968-1652932MiAaPQMiAaPQMiAaPQBOOK9910808072103321Spectral decomposition of a covering of GL(r)4003889UNINA