1.

Record Nr.

UNINA9910479934403321

Autore

Sun Heng <1968->

Titolo

Spectral decomposition of a covering of GL(r) : the Borel case / / Heng Sun

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2002]

©2002

ISBN

1-4704-0336-6

Descrizione fisica

1 online resource (79 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 743

Disciplina

510 s

515/.243

Soggetti

Eisenstein series

Spectral theory (Mathematics)

Decomposition (Mathematics)

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"March 2002, volume 156, number 743 (fourth of 5 numbers)."

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

""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""