@article{CM_1993__88_1_39_0, author = {Flicker, Yuval}, title = {A Fourier summation formula for the symmetric space $\mathrm {GL}(n) / \mathrm {GL}( n-1)$}, journal = {Compositio Mathematica}, volume = {89}, year = {1993}, pages = {39-117}, mrnumber = {1234976}, zbl = {0789.11035}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1993__88_1_39_0} }
Flicker, Yuval Z. A Fourier summation formula for the symmetric space $\mathrm {GL}(n) / \mathrm {GL}( n-1)$. Compositio Mathematica, Tome 89 (1993) pp. 39-117. http://gdmltest.u-ga.fr/item/CM_1993__88_1_39_0/
[A] A trace formula for reductive groups. [A1] I. Terms associated to classes in G(Q), Duke Math. J. 45 (1978), 911-952; [A2] II. Applications of a truncation operator, Compos. Math. 40 (1980), 87-121. | Numdam | MR 518111 | Zbl 0499.10033
,[B] An operator Paley-Wiener theorem, in preparation.
,[BD] Le centre de Bernstein, dans Représentation des groupes réductifs sur un corps local, Hermann, Paris (1984). | MR 771671 | Zbl 0599.22016
, ,[BZ] Representations of the group GL(n, F) where F is a nonarchimedean local field, Uspekhi Mat. Nauk 31 (1976), 5-70; [BZ2] Induced representations of reductive p-adic groups. I, Ann. Sci. ENS 10 (1977), 441-472. | Numdam | MR 425030 | Zbl 0412.22015
, , [BZ1][Bi] D-modules and spherical representations, Princeton Univ. Press 39 (1990). | MR 1082342 | Zbl 0723.22014
,[DP] The irreducible unitary GL(n - 1, R)-spherical representations of SL(n, R), Compos. Math. 73 (1990), 1-30. | Numdam | Zbl 0723.22018
, ,[FJ] Discrete series for semi-simple symmetric spaces, Annals of Math. 111 (1980), 253-311. | MR 569073 | Zbl 0462.22006
,[F] [F1] Twisted tensors and Euler products, Bull. Soc. Math. France 116 (1988), 295-313; [F2] On distinguished representations, J. reine angew. Math. 418 (1991), 139-172; [F3] Distinguished representations and a Fourier summation formula, Bull. Soc. Math. France (1992); [F4] Cyclic automorphic forms on a unitary group, preprint. | MR 984899 | Zbl 0725.11026
,[FK] A simple trace formula, J. Analyse Math. 50 (1988), 189-200. | MR 942828 | Zbl 0666.10018
, ,[FKS] Explicit realization of a metaplectic representation, J. Analyse Math. 55 (1991), 17-39. | MR 1094709 | Zbl 0727.11021
, , ,[GK] Representations of GL(n, K) where K is a local field, in Lie groups and their representations, John Wiley and Sons (1975), 95-118. | Zbl 0348.22011
, ,[G] Decomposition of Eisenstein series. Rankin triple products, Ann. of Math. 125 (1987), 209-235. | MR 881269 | Zbl 0625.10020
,[GP] On the decomposition of a representation of SO(n) when restricted to SO(n - 1), preprint. | Zbl 0787.22018
, ,[HK] The central critical value of a triple product L-function, Ann. of Math. 133 (1991), 605-672. | MR 1109355 | Zbl 0731.11031
, ,[J] Sur un résultat de Waldspurger, Ann. Sci. ENS. 19 (1986), 185-229; [J2] On the nonvanishing of some L-functions, Proc. Indian Acad. Sci. 97 (1987), 117-155. | MR 868299 | Zbl 0659.10031
, [J1][JPS] Rankin-Selberg convolutions, Amer. J. Math. 105 (1983), 367-464. | MR 701565 | Zbl 0525.22018
, , ,[JS] On Euler products and the classification of automorphic representations, Amer. J. Math. 103 (1981), I: 499-558, II: 777-815; [JS2] Rankin-Selberg convolutions: Archimedean theory; in Festschrift in Honor of I. I. Piatetski-Shapiro, IMCP 2 (1990), 125-207. | Zbl 0712.22011
, , [JS1][L] On the functional equations satisfied by Eisenstein series, SLN 544 (1976). | MR 579181 | Zbl 0332.10018
,[M] Symmetric functions and Hall polynomials, Oxford, Clarendon Press (1979). | MR 553598 | Zbl 0487.20007
,[MW] [MW1] Le spectre résiduel de GL(n), Ann. Sci. ENS 22 (1989), 605-674; [MW2] Décomposition spectrale et series d'Eisenstein. | Numdam | MR 1026752 | Zbl 0696.10023
, ,[Mo] Eisenstein series for reductive groups over global function fields, Canad. J. Math. 34 (1982), I: 91-168, II: 1112-1182. | Zbl 0505.22017
,[OM] A description of discrete series for semisimple symmetric spaces, Advanced Studies in Pure Math. 4 (1984), 331-390. | MR 810636 | Zbl 0577.22012
, ,[PR] Rallis, Rankin triple L-functions, Compos. Math. 64 (1987), 31-115. | Numdam | MR 911357 | Zbl 0637.10023
-[P] Trilinear forms for representations of GL(2) and local ε-factors, Compos. Math. 75 (1990), 1-46; [P2] Invariant forms for representations of GL2 over a local field, Amer. J. Math. (1993); [P3] On the decomposition of a representation of GL(3) restricted to GL(2) over a p-adic field, Duke Math. J. (1993).
, [P1][Sh] On certain L-functions, Amer. J. Math. 103 (1981), 297-355; [Sh2] Local coefficients and normalization of intertwining operators for GL(n), Compos. Math. 48 (1983), 271-295. | Numdam | MR 610479 | Zbl 0506.22020
, [Sh1][Sh] On an explicit formula for class 1 "Whittaker functions" on GLn over p-adic fields, Proc. Japan Acad., 52 (1976), 180-182. | MR 407208 | Zbl 0387.43002
,[T] Classification of unitary representations in irreducible representations of general linear group, Ann. Sci. ENS 19 (1986), 335-382. | Numdam | MR 870688 | Zbl 0614.22005
,[Th] Die Einschränkung der Charaktere von GL(n, q) auf GL(n - 1, q), Math. Z. 119(1971), 321-338. | MR 288190 | Zbl 0202.02601
,[W] Correspondence de Shimura, J. Math. Pure Appl. 59 (1980), 1-113; [W2] Sur les coefficients de Fourier des formes modulaires de poids demi-entier, J. Math. Pure Appl. 60 (1981), 375-484; [W3] Sur les valeurs de certaines fonctions L automorphes en leur centre de symetrie, Compos. Math. 54 (1985), 173-242. | Numdam | MR 646366 | Zbl 0567.10021
, [W1][Z] Induced representations of reductive p-adic groups II. On irreducible representations of GL(n), Ann. Sci. ENS 13 (1980), 165-210; [Z2] Representations of finite classical groups, SLN 869 (1981). | Numdam | MR 584084 | Zbl 0441.22014
,[Zh] Compact Lie groups and their representations, American Mathematical Society, Providence, 1973. | MR 473098 | Zbl 0272.22006
,