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Rankin-Selberg convolutions for $SO_{2l+1}×GL_{n}$: local theory
About this Title
David Soudry
Publication: Memoirs of the American Mathematical Society
Publication Year:
1993; Volume 105, Number 500
ISBNs: 978-0-8218-2568-6 (print); 978-1-4704-0077-4 (online)
DOI: https://doi.org/10.1090/memo/0500
MathSciNet review: 1169228
MSC: Primary 11F70; Secondary 11F67, 22E50
Table of Contents
Chapters
- 0. Introduction and preliminaries
- 1. The integrals to be studied
- 2. Estimates for Whittaker functions on $G_l$ (nonarchimedean case)
- 3. Estimates for Whittaker functions on $G_l$ (archimedean case)
- 4. Convergence of the integrals (nonarchimedean case)
- 5. Convergence of the integrals (archimedean case)
- 6. $A(W, \xi _{r,s})$ can be made constant (nonarchimedean case)
- 7. An analog in the archimedean case
- 8. Uniqueness theorems
- 9. Application of the intertwining operator
- 10. Definition of local factors
- 11. Multiplicativity of the $\gamma$-factor (case $l < n$, first variable)
- 12. The unramified computation