Rankin-Selberg convolutions for SO2l+1 x GLn : [electronic resource] local theory / David Soudry.

By: Soudry, David, 1956-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 500Publication details: Providence, R.I. : American Mathematical Society, 1993Description: 1 online resource (vi, 100 p. : ill.)ISBN: 9781470400774 (online)Subject(s): Convolutions (Mathematics) | Gamma functions | L-functions | Functional equationsAdditional physical formats: Rankin-Selberg convolutions for SO2l+1 x GLn :DDC classification: 510 s | 511.3/3 LOC classification: QA3 | .A57 no. 500 | QA601Online resources: Contents | Contents
Contents:
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
Item type: E-BOOKS
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Link to resource Available EBK12953

On t.p. "2l+1" and "n" are subscript.

"September 1993, volume 105, number 500 (first of 6 numbers)."

Includes bibliographical references (99-100).

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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