no. 4
Distinguished representations and a Fourier summation formula
Bulletin de la Société Mathématique de France, Tome 120 (1992) no. 4, pp. 413-465 
@article{BSMF_1992__120_4_413_0,
     author = {Flicker, Yuval Z.},
     title = {Distinguished representations and a {Fourier} summation formula},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {413--465},
     year = {1992},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {120},
     number = {4},
     doi = {10.24033/bsmf.2193},
     mrnumber = {93j:22033},
     zbl = {0778.11030},
     language = {en},
     url = {https://www.numdam.org/articles/10.24033/bsmf.2193/}
}
TY  - JOUR
AU  - Flicker, Yuval Z.
TI  - Distinguished representations and a Fourier summation formula
JO  - Bulletin de la Société Mathématique de France
PY  - 1992
SP  - 413
EP  - 465
VL  - 120
IS  - 4
PB  - Société mathématique de France
UR  - https://www.numdam.org/articles/10.24033/bsmf.2193/
DO  - 10.24033/bsmf.2193
LA  - en
ID  - BSMF_1992__120_4_413_0
ER  - 
%0 Journal Article
%A Flicker, Yuval Z.
%T Distinguished representations and a Fourier summation formula
%J Bulletin de la Société Mathématique de France
%D 1992
%P 413-465
%V 120
%N 4
%I Société mathématique de France
%U https://www.numdam.org/articles/10.24033/bsmf.2193/
%R 10.24033/bsmf.2193
%G en
%F BSMF_1992__120_4_413_0
Flicker, Yuval Z. Distinguished representations and a Fourier summation formula. Bulletin de la Société Mathématique de France, Tome 120 (1992) no. 4, pp. 413-465. doi: 10.24033/bsmf.2193

[A] Arthur (J.). - A trace formula for reductive groups, [A1], I. Terms associated to classes in G(Q), Duke Math. J., t. 45, 1978, p. 911-952, and [A2], II. Applications of a truncation operator, Compositio Math., t. 40, 1980, p. 87-121. | Zbl | Numdam

[BZ] Bernstein (J.) and Zelevinskii (A.). - Representations of the group GL(n, F) where F is a nonarchimedean local field, Uspekhi Mat. Nauk, t. 31, 1976, p. 5-70, and [BZ1], Induced representations of reductive p-adic groups. I, Ann. Sci. École Norm. Sup., t. 10, 1977, p. 441-472. | Zbl | Numdam

[B] Bien (F.). - D-modules and spherical representations. - Princeton Univ. Press, 39, 1990. | Zbl | MR

[BH] Bopp (N.) et Harinck (P.). - Formule de Plancherel pour GL(n, ℂ)/U(p, q), Math. Gottingensis, t. 27, 1990, p. 1-52.

[D] Delorme (P.). - Coefficients généralisés de séries principales sphériques et distributions sphériques sur G(ℂ)/G(ℝ), Invent. Math., t. 105, 1991, p. 305-346. | Zbl | MR

[FJ] Flensted-Jensen (M.). - Discrete series for semi-simple symmetric spaces, Ann. of Math., t. 111, 1980, p. 253-311. | Zbl | MR

[F] Flicker (Y.). - [F1], On distinguished representations, J. Reine Angew. Math., t. 418, 1991, p. 139-172 and [F2], Twisted tensors and Euler products, Bull. Soc. Math. France, t. 116, 1988, p. 295-313, and [F3], Stable and labile base change for U(2), Duke Math. J., t. 49, 1982, p. 691-729, and [F4] Packets and liftings for U(3), J. Analyse Math, t. 50, 1988, p. 19-63, and [F5], On the local twisted tensor L-function, preprint. | MR

[FK] Flicker (Y.) and Kazhdan (D.). - [FK1], Metaplectic correspondence, Publ. Math. IHES, t. 64, 1987, p. 53-110, and [FK2], A simple trace formula, J. Analyse Math., t. 50, 1988, p. 189-200.

[GK] Gelfand (I.) and Kazhdan (D.). - Representations of GL(n, K) where K is a local field, in Lie groups and their representations, John Wiley and Sons, 1975, p. 95-118. | Zbl | MR

[JPS] Jacquet (H.), Piatetski-Shapiro (I.) and Shalika (J.). - Rankin-Selberg convolutions, Amer. J. Math., t. 105, 1983, p. 367-464. | Zbl | MR

[JS] Jacquet (H.) and Shalika (J.). - On Euler products and the classification of automorphic representations, Amer. J. Math., t. 103, 1981, p. I : 499-558, II : 777-815, and [JS1] Rankin-Selberg convolutions : Archimedean theory, in Piatetski-Shapiro Festchrift I, IMCP, t. 2, 1990, p. 125-207. | Zbl | MR

[K] Keys (D.). - [K1], Principal series representations of special unitary groups over local field, Compositio Math., t. 51, 1984, p. 115-130, and [K2] L-indistinguishability and R-groups for quasi-split groups ; unitary groups in even dimension, Ann. Sci. École Norm. Sup., t. 20, 1987, p. 31-64. | Zbl | MR | Numdam

[L] Langlands (R.). - [L1], Problems in the theory of automorphic forms, in Modern Analysis and applications, SLN, t. 170, 1970, p. 18-86, and [L2], On the functional equations satisfied by Eisenstein series, SLN, t. 544, 1976, and [L3], Book review of The Theory of Eisenstein Systems, by S. Osborne and G. Warner, Academic Press, New-York 1981, Bull. AMS, t. 9, 1983, p. 351-361. | MR

[MW] Moeglin (C.) et Waldspurger (J.-L). - [MW1], Le spectre résiduel de GL(n), Ann. Sci. École Norm. Sup., t. 22, 1989, p. 605-674, and [MW2], Décomposition spectrale et séries d'Eisenstein. | Zbl | MR | Numdam

[M] Morris (L.). - Eisenstein series for reductive groups over global function fields, Canad. J. Math., t. 34, 1982, I : p. 91-168, II : p. 1112-1182. | Zbl | MR

[OM] Oshima (T.) and Matsuki (T.). - A description of discrete series for semisimple symmetric spaces, Adv. Stud. Pure Math., t. 4, 1984, p. 331-390. | Zbl | MR

[S] Sano (S.). - Invariant spherical distributions and the Fourier inversion formula on GL(n, ℂ)/GL(n, ℝ), J. Math. Soc. Japan, t. 36, 1984, p. 191-219. | Zbl | MR

[Sh] Shahidi (F.). - [Sh1], On certain L-functions, Amer. J. Math., t. 103, 1981, p. 297-355, and [Sh2], Fourier transforms of intertwining operators and Plancherel measures for GL(n), Amer. J. Math., t. 104, 1982, p. 67-111, and [Sh3], Local coefficients and normalization of intertwining operators for GL(n), Compositio Math., t. 48, 1983, p. 271-295. | MR | Numdam

[T] Tadic (M.). - Classification of unitary representations in irreducible representations of general linear group, Ann. Sci. École Norm. Sup., t. 19, 1986, p. 335-382. | Zbl | MR | Numdam

[V] Vogan (D.). - Gelfand-Kirillov dimension for Harish-Chandra modules, Invent. Math., t. 48, 1978, p. 75-98. | Zbl | MR

[W] Waldspurger (J.-L.). - Correspondence de Shimura, J. Math. Pures Appl., t. 59, 1980, p. 1-113, and Sur les coefficients de Fourier des formes modulaires de poids demi-entier, J. Math. Pures Appl., t. 60, 1981, p. 375-484. | Zbl

[Z] Zelevinsky (A.). - Induced representations of reductive p-adic groups, II. On irreducible representations of GL(n), Ann. Sci. École Norm. Sup., t. 13, 1980, p. 165-210. | Zbl | MR | Numdam

Cité par Sources :