Le spectre résiduel de $\mathrm{GL}\left(n\right)$

 Access to full text

 Full (PDF)

1. [A, 1] J. ARTHUR, Eisenstein Series and the Trace Formula, in Automorphic Forms, Representations and L-functions (Proc. of Symp. in Pure Math., vol. XXXIII, part I, Providence, 1979). Zbl0431.22016MR81b:10020
2. [A, 2] J. ARTHUR, Intertwining Operators and Residues I ; Weighted Characters (J. of Funct. Analysis, vol. 84, 1989, p. 19-84). Zbl0679.22011MR90j:22018
3. [B] J. BERNSTEIN, P-invariant Distributions on GL(N) and the Classification of Unitary Representations of GL(N), non Archimedean Case, in (Lie Group Representations, vol. II, Springer LN 1041). Zbl0541.22009MR86b:22028
4. [BW] A. BOREL et N. WALLACH, Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups (Annals of Math. Studies, vol. 94, Princeton, 1980). Zbl0443.22010MR83c:22018
5. [J] H. JACQUET, On the Residual Spectrum of GL(N), in (Lie Group Representations, vol. II, Springer LN, p. 1041). Zbl0539.22016MR85k:22045
6. [JPSS] H. JACQUET, L. PIATETESKI-SHAPIRO et J. SHALIKA, Rankin-Selberg Convolutions (Amer. J. of Math., vol. 105, 1983, p. 367-463). Zbl0525.22018MR85g:11044
7. [JS, 1] H. JACQUET et J. SHALIKA, Sur le spectre résiduel du groupe linéaire (C.R. Acad. Sci. Paris, 293, 1981, p. 541-543). Zbl0505.12021MR83a:10050
8. [JS, 2] H. JACQUET et J. SHALIKA, On Euler Products and the Classification of Automorphic Representations, vol. I, II (Amer. J. of Math., vol. 103, 1981, p. 499-558 et 777-815). Zbl0491.10020MR82m:10050a
9. [KS] K. KEYS et F. SHAHIDI, Artin L-functions and Normalization of Intertwining Operators (Ann. scient. Ec. Norm. Sup., vol. 21, 1988, p. 67-89). Zbl0654.10030MR89k:22034
10. [L] R. LANGLANDS, On the Functional Equations Satisfied by Eisenstein Series, Springer, LN 544. Zbl0332.10018MR58 #28319
11. [O] G. OLSHANSKII, Intertwining Operators and Complementary Series in the Class of Representations Induced from Parabolic Subgroups of the General Linear Group over a Locally Compact Division Algebra (Mat. USSR Sbornik, vol. 22, 1974, p. 217-255). Zbl0309.22014
12. [R] F. RODIER, Représentations de GL(n, k) où k est un corps p-adique (Sém. Bourbaki, vol. 587, 1981-1982). Zbl0506.22019
13. [S] B. SPEH, Some Results on Principal Series for GL(n, R) (Ph. D. dissertation M.I.T., juin 1977). 
14. [Sh 1] F. SHAHIDI, Local Coefficients and Normalization of Intertwining Operators for GL(n) (Comp. Math., vol. 48, 1983, p. 271-295). Zbl0506.22020MR85a:22027
15. [Sh 2] F. SHAHIDI, Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n) (Amer. J. of Math., vol. 106, 1984, p. 67-111). Zbl0567.22008MR86b:22031
16. [Sh 3] F. SHAHIDI, Local Coefficients as Artin Factors for Real Groups (Duke Math. J., vol. 52, 1985, p. 973-1007). Zbl0674.10027MR87m:11049
17. [Si] A. SILBERGER, Discrete Series and Classification for p-adic Groups I (Amer. J. of Math., 103, 1981, p. 1241-1321). Zbl0484.22026MR83j:22011
18. [T] M. TADIC, Classification of Unitary Representations of Irreductible Representations of General Linear Group, Non-archimedean case (Ann. Scient. Ec. Norm. Sup., 19, 1986, p. 335-382). Zbl0614.22005MR88b:22021
19. [V, 1] D. VOGAN, Representations of Real Reductive Lie Groups, Boston-Basel-Stuttgart : Birkhöuser, 1981. Zbl0469.22012MR83c:22022
20. [V, 2] D. VOGAN, Unitarizability of Certain Series of Representations (Ann. of Math., vol. 120, 1984, p. 141-187). Zbl0561.22010MR86h:22028
21. [V, 3] D. VOGAN, The Unitary Dual of GL(n) Over an Archimedean Field (Inv. math., vol. 83, 1986, p. 449-505). Zbl0598.22008MR87i:22042
22. [Z] A. ZELEVINSKI, Induced Representations of Reductive p-adic Groups II. On Irreductible Representations of GL(n) (Ann. Scient. Ec. Norm. Sup., vol. 13, 1980, p. 165-210). Zbl0441.22014
23. [CS] W. CASSELMAN et J. SHALIKA, The Unramified Principal Series of p-adic Groups II. The Whittaker Function (Comp. math., vol. 41, 1980, p. 207-231). Zbl0472.22005MR83i:22027
24. [JPSS] H. JACQUET, I. PIATETSKI-SHAPIRO et J. SHALIKA, Automorphic Forms on GL(3), II (Annals of Math., vol. 109, 1979, p. 213-258). Zbl0401.10037MR80i:10034b
25. [JS] H. JACQUET et J. SHALIKA, On Euler Products and the Classification of Automorphic Forms II (Amer. J. of Math., vol. 103, 1981, p. 777-815). Zbl0491.10020MR82m:10050b
26. [S1] F. SHAHIDI, On Certain L-functions (Amer. J. of Math., vol. 103, 1981, p. 297-355). Zbl0467.12013MR82i:10030
27. [S2] F. SHAHIDI, Local Coefficients as Artin Factors for Real Groups (Duke Math. J., vol. 52, 1985, p. 973-1007). Zbl0674.10027MR87m:11049
28. [S3] F. SHAHIDI, Local Coefficients and Normalization of Intertwining Operators for GL(n) (Comp. math., vol. 48, 1983, p. 271-295). Zbl0506.22020MR85a:22027

1. Shunsuke Yamana, Symplectic periods of the continuous spectrum of $\mathrm{GL}\left(2n\right)$
2. Guy Henniart, Induction automorphe globale pour les corps de nombres
3. Haruzo Hida, Control theorems of $p$-nearly ordinary cohomology groups for $\text{SL}\left(n\right)$
4. Ioan Badulescu, Erez Lapid, Alberto Mínguez, Une condition suffisante pour l’irréductibilité d’une induite parabolique de $\mathrm{GL}(m,\mathrm{D})$
5. Jean-Pierre Labesse, Noninvariant base change identities
6. Yuval Z. Flicker, Distinguished representations and a Fourier summation formula
7. Benedict H. Gross, Stephen S. Kudla, Heights and the central critical values of triple product $L$-functions
8. Yuval Z. Flicker, A Fourier summation formula for the symmetric space $\mathrm{GL}\left(n\right)/\mathrm{GL}(n-1)$
9. Laurent Clozel, Michael Harris, Richard Taylor, Automorphy for some l-adic lifts of automorphic mod l Galois representations
10. J. W. Cogdell, H. H. Kim, I. I. Piatetski-Shapiro, F. Shahidi, Functoriality for the classical groups