Spectral Decomposition of a Covering of GL® : the Borel case.

Intro -- 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.

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