Poles and residues of Eisenstein series for symplectic and unitary groups

Poles and residues of Eisenstein series for symplectic and unitary groups / Paul Feit.

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Bibliographic Details
Main Author: Feit, Paul, 1959- (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 1986.
Series:Memoirs of the American Mathematical Society ; Volume 61, no. 346.
Subjects:
Eisenstein series.
Representations of groups.
Eisenstein series
Representations of groups
Online Access:Click for online access
Table of Contents:
  • ""Table of Contents""; ""Introduction""; ""0. Notation""; ""1. Definition of the Eisenstein Series""; ""Part I: Formal Dirichlet Series""; ""2. Preliminaries on Semi-Simple Algebras""; ""3. Local Unitary Groups""; ""4. A Theorem on Dirichlet Series""; ""5. Representations of One Form by Another""; ""6. Explicit Computations: SP and SU Cases""; ""7. A Special Argument for α[sub(1)]""; ""Part II: The Finiteness Problem""; ""8. Notation""; ""9. Finiteness Theorems""; ""10. The Fourier Coefficients""; ""11. The r-Factor Calculation""; ""12. Three Remarks""; ""13. The Proof of Theorem 9.1""
  • Part III: Analyticity14. Positive Fourier Expansions
  • Part IV: Algebraic Properties
  • 15. A Rationality Criterion
  • 16. The Transfer Map
  • 17. Stong Approximation
  • 18. Proofs of Theorems 15.1 and 15.2
  • References

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