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Rankin-Selberg convolutions for : 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: http://dx.doi.org/10.1090/memo/0500
MathSciNet review: 1169228
MSC (1991): Primary 11F70; Secondary 11F67, 22E50

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Table of Contents


Chapters

  • 0. Introduction and preliminaries
  • 1. The integrals to be studied
  • 2. Estimates for Whittaker functions on (nonarchimedean case)
  • 3. Estimates for Whittaker functions on (archimedean case)
  • 4. Convergence of the integrals (nonarchimedean case)
  • 5. Convergence of the integrals (archimedean case)
  • 6. 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 -factor (case , first variable)
  • 12. The unramified computation