Voir la notice de l'article provenant de la source Numdam
@article{PMIHES_1991__73__5_0, author = {Arthur, James}, title = {A local trace formula}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {5--96}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {73}, year = {1991}, mrnumber = {92f:22029}, zbl = {0741.22013}, language = {en}, url = {http://geodesic.mathdoc.fr/item/PMIHES_1991__73__5_0/} }
Arthur, James. A local trace formula. Publications Mathématiques de l'IHÉS, Tome 73 (1991), pp. 5-96. http://geodesic.mathdoc.fr/item/PMIHES_1991__73__5_0/
[1] The characters of discrete series as orbital integrals, Invent. Math., 32 (1976), 205-261. | Zbl | MR | EuDML
,[2] A trace formula for reductive groups I: terms associated to classes in G(Q), Duke Math. J., 45 (1978), 911-952. | Zbl | MR
,[3] A trace formula for reductive groups II: applications of a truncation operator, Compos. Math., 40 (1980), 87-121. | mathdoc-id | Zbl | MR | EuDML
,[4] The trace formula in invariant form, Ann. of Math., 114 (1981), 1-74. | Zbl | MR
,[5] On the inner product of truncated Eisenstein series, Duke Math. J., 49 (1982), 35-70. | Zbl | MR
,[6] On a family of distributions obtained from Eisenstein series II: Explicit formulas, Amer. J. Math., 104 (1982), 1289-1336. | Zbl | MR
,[7] A Paley-Wiener theorem for real reductive groups, Acta Math., 150 (1983), 1-89. | Zbl | MR
,[8] The local behaviour of weighted orbital integrals, Duke Math. J., 56 (1988), 223-293. | Zbl | MR
,[9] The characters of supercuspidal representations as weighted orbital integrals, Proc. Indian Acad. Sci., 97 (1987), 3-19. | Zbl | MR
,[10] The invariant trace formula I. Local theory, J. Amer. Math. Soc., 1 (1988), 323-383. | Zbl | MR
,[11] Intertwining operators and residues I. Weighted characters, J. Funct. Anal., 84 (1989), 19-84. | Zbl | MR
,[12] The trace formula and Hecke operators, in Number Theory, Trace Formulas and Discrete Groups, Academic Press, 1989, 11-27. | Zbl | MR
,[13] Towards a local trace formula, in Algebraic Analysis, Geometry and Number Theory, The Johns Hopkins University Press, 1989, 1-24. | Zbl | MR
,[14] Some problems in local harmonic analysis, to appear in Harmonic Analysis on Reductive Groups, Birkhäuser. | Zbl | MR
,[15] A formula for semisimple Lie groups, Amer. J. Math., 79 (1957), 733-760. | Zbl | MR
,[16] Spherical functions on a semisimple Lie group. I, Amer. J. Math., 80 (1958), 241-310. | Zbl | MR
,[17] Two theorems on semisimple Lie groups, Ann. of Math., 83 (1966), 74-128. | Zbl | MR
,[18] Harmonic Analysis on Reductive p-adic Groups, Springer Lecture Notes 162, 1970. | Zbl | MR
,[19] Harmonic analysis on reductive p-adic groups, in Harmonic Analysis on Homogeneous Spaces, Proc. Sympos. Pure Math., 26, A.M.S., 1973, 167-192. | Zbl | MR
,[20] Harmonic analysis on real reductive groups I. The theory of the constant term, J. Funct. Anal., 19 (1975), 104-204. | Zbl | MR
,[21] Harmonic analysis on real reductive groups II. Wave packets in the Schwartz space, Invent. Math., 36 (1976), 1-55. | Zbl | MR | EuDML
,[22] Harmonic analysis on real reductive groups III. The Maass-Selberg relations and the Plancherel formula, Ann. of Math., 104 (1976), 117-201. | Zbl | MR
,[23] The Plancherel formula for reductive p-adic groups, in Collected Papers, Vol. IV, Springer-Verlag, 353-367.
,[24] Differential Geometry and Symmetric Spaces, Academic Press, 1962. | Zbl | MR
,[25] L-indistinguishability and R-groups for quasi-split groups: Unitary groups of even dimension, Ann. Scient. Éc. Norm. Sup., 4e Sér., 20 (1987), 31-64. | mathdoc-id | Zbl | MR | EuDML
,[26] Eisenstein series, the trace formula and the modern theory of automorphic forms, in Number Theory, Trace Formulas and Discrete Groups, Academic Press, 1989, 125-155. | Zbl | MR
,[27] Spherical Functions on a Group of p-Adic Type, Publications of the Ramanujan Institute, Madras, 1971. | Zbl | MR
,[28] The trace class conjecture in the theory of automorphic forms, Ann. of Math., 130 (1989), 473-529. | Zbl | MR
,[29] Introduction to Harmonic Analysis on Reductive p-Adic Groups, Mathematical Notes, Princeton University Press, 1979. | Zbl | MR
,[30] Reductive groups over local fields, in Automorphic Forms, Representations and L-functions, Proc. Sympos. Pure Math., 33, Part I, A.M.S., 1979, 29-69. | Zbl | MR
,[31] Intégrales orbitales sphériques pour GL(N) sur un corps p-adique, Astérisque, 171-172 (1989), 279-337. | Zbl | MR | mathdoc-id
,