Le spectre résiduel de GL (n)
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 22 (1989) no. 4, pp. 605-674. 
@article{ASENS_1989_4_22_4_605_0,
     author = {M{\oe}glin, C. and Waldspurger, J.-L.},
     title = {Le spectre r\'esiduel de ${\rm GL}(n)$},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {605--674},
     publisher = {Elsevier},
     volume = {4e s{\'e}rie, 22},
     number = {4},
     year = {1989},
     doi = {10.24033/asens.1595},
     mrnumber = {91b:22028},
     zbl = {0696.10023},
     language = {fr},
     url = {http://www.numdam.org/articles/10.24033/asens.1595/}
}
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Mœglin, C.; Waldspurger, J.-L. Le spectre résiduel de ${\rm GL}(n)$. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 22 (1989) no. 4, pp. 605-674. doi : 10.24033/asens.1595. http://www.numdam.org/articles/10.24033/asens.1595/

[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). | MR | Zbl

[A, 2] J. Arthur, Intertwining Operators and Residues I ; Weighted Characters (J. of Funct. Analysis, vol. 84, 1989, p. 19-84). | MR | Zbl

[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). | MR | Zbl

[BW] A. Borel et N. Wallach, Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups (Annals of Math. Studies, vol. 94, Princeton, 1980). | MR | Zbl

[J] H. Jacquet, On the Residual Spectrum of GL(N), in (Lie Group Representations, vol. II, Springer LN, p. 1041). | MR | Zbl

[JPSS] H. Jacquet, L. Piateteski-Shapiro et J. Shalika, Rankin-Selberg Convolutions (Amer. J. of Math., vol. 105, 1983, p. 367-463). | MR | Zbl

[JS, 1] H. Jacquet et J. Shalika, Sur le spectre résiduel du groupe linéaire (C.R. Acad. Sci. Paris, 293, 1981, p. 541-543). | MR | Zbl

[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). | MR | Zbl

[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). | EuDML | Numdam | MR | Zbl

[L] R. Langlands, On the Functional Equations Satisfied by Eisenstein Series, Springer, LN 544. | MR | Zbl

[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). | Zbl

[R] F. Rodier, Représentations de GL(n, k) où k est un corps p-adique (Sém. Bourbaki, vol. 587, 1981-1982). | Numdam | Zbl

[S] B. Speh, Some Results on Principal Series for GL(n, R) (Ph. D. dissertation M.I.T., juin 1977).

[Sh 1] F. Shahidi, Local Coefficients and Normalization of Intertwining Operators for GL(n) (Comp. Math., vol. 48, 1983, p. 271-295). | Numdam | MR | Zbl

[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). | MR | Zbl

[Sh 3] F. Shahidi, Local Coefficients as Artin Factors for Real Groups (Duke Math. J., vol. 52, 1985, p. 973-1007). | MR | Zbl

[Si] A. Silberger, Discrete Series and Classification for p-adic Groups I (Amer. J. of Math., 103, 1981, p. 1241-1321). | MR | Zbl

[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). | Numdam | MR | Zbl

[V, 1] D. Vogan, Representations of Real Reductive Lie Groups, Boston-Basel-Stuttgart : Birkhöuser, 1981. | MR | Zbl

[V, 2] D. Vogan, Unitarizability of Certain Series of Representations (Ann. of Math., vol. 120, 1984, p. 141-187). | MR | Zbl

[V, 3] D. Vogan, The Unitary Dual of GL(n) Over an Archimedean Field (Inv. math., vol. 83, 1986, p. 449-505). | MR | Zbl

[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). | Numdam | Zbl

[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). | Numdam | MR | Zbl

[JPSS] H. Jacquet, I. Piatetski-Shapiro et J. Shalika, Automorphic Forms on GL(3), II (Annals of Math., vol. 109, 1979, p. 213-258). | MR | Zbl

[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). | MR | Zbl

[S1] F. Shahidi, On Certain L-functions (Amer. J. of Math., vol. 103, 1981, p. 297-355). | MR | Zbl

[S2] F. Shahidi, Local Coefficients as Artin Factors for Real Groups (Duke Math. J., vol. 52, 1985, p. 973-1007). | MR | Zbl

[S3] F. Shahidi, Local Coefficients and Normalization of Intertwining Operators for GL(n) (Comp. math., vol. 48, 1983, p. 271-295). | Numdam | MR | Zbl

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