|
The invariant trace formula. I. Local theory
Author:
James Arthur
Journal:
J. Amer. Math. Soc. 1 (1988), 323-383
MSC:
Primary 22E55; Secondary 11F70, 11F72
Part II:
J. Amer. Math. Soc. (1988), 501-554
MathSciNet review:
928262
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- [1]
James
Arthur, The trace formula in invariant form, Ann. of Math. (2)
114 (1981), no. 1, 1–74. MR 625344
(84a:10031), http://dx.doi.org/10.2307/1971376
- [2]
L.
Clozel, Base change for 𝐺𝐿(𝑛),
(Berkeley, Calif., 1986) Amer. Math. Soc., Providence, RI, 1987,
pp. 791–797. MR 934282
(89i:22034)
- [3]
J.
Bernstein, P.
Deligne, and D.
Kazhdan, Trace Paley-Wiener theorem for reductive 𝑝-adic
groups, J. Analyse Math. 47 (1986), 180–192. MR 874050
(88g:22016), http://dx.doi.org/10.1007/BF02792538
- [4]
Arne
Brøndsted, An introduction to convex polytopes,
Graduate Texts in Mathematics, vol. 90, Springer-Verlag, New York,
1983. MR
683612 (84d:52009)
- [5]
Laurent
Clozel and Patrick
Delorme, Sur le théorème de Paley-Wiener invariant
pour les groupes de Lie réductifs réels, C. R. Acad.
Sci. Paris Sér. I Math. 300 (1985), no. 11,
331–333 (French, with English summary). MR 786912
(86e:22014)
- [6]
L. Clozel, J.-P. Labesse, and R. Langlands, Morning seminar on the trace formula, Lecture Notes, Institute for Advanced Study, Princeton Univ.
- [7]
Robert
P. Langlands, On the functional equations satisfied by Eisenstein
series, Lecture Notes in Mathematics, Vol. 544, Springer-Verlag,
Berlin, 1976. MR
0579181 (58 #28319)
- [8]
J.
D. Rogawski, Trace Paley-Wiener theorem in the
twisted case, Trans. Amer. Math. Soc.
309 (1988), no. 1,
215–229. MR
957068 (89k:22035), http://dx.doi.org/10.1090/S0002-9947-1988-0957068-2
- [9]
D.
Shelstad, 𝐿-indistinguishability for real groups,
Math. Ann. 259 (1982), no. 3, 385–430. MR 661206
(84c:22017), http://dx.doi.org/10.1007/BF01456950
-
- [1]
- J. Arthur, (a) The trace formula in invariant form, Ann. of Math. 114 (1981), 1-74. (b) On a family of distributions obtained from Eisenstein series II: Explicit formulas, Amer. J. Math. 104 (1982), 1289-1336. (c) On a family of distributions obtained from orbits, Canad. J. Math. 38 (1986), 179-214. (d) The local behaviour of weighted orbital integrals, Duke Math. J. 56 (1988), 1-71. (e) Intertwining operators and residues I. Weighted characters, J. Funct. Anal. (to appear). (f) The invariant trace formula II. Global theory, J. Amer. Math. Soc. (to appear). MR 625344 (84a:10031)
- [2]
- J. Arthur and L. Clozel, Base change for
 , Ann. of Math. Stud. (to appear). MR 934282 (89i:22034) - [3]
- J. Bernstein, P. Deligne, and D. Kazhdan, Trace Paley-Wiener theorem for reductive
 -adic groups, preprint. MR 874050 (88g:22016) - [4]
- A. Brønsted, An introduction to convex polytopes, Graduate Texts in Mathematics, Springer-Verlag, New York, 1983. MR 683612 (84d:52009)
- [5]
- L. Clozel and P. Delorme, (a) Le théorème de Paley-Wiener invariant pour les groupes de Lie réductifs, Inv. Math. 77 (1984), 427-453. (b) Sur le théorème de Paley-Wiener invariant pour les groupes de Lie réductifs réels, C. R. Acad. Sci. Paris. Sér. I Math., t. 300, 11 (1985), 331-333. MR 786912 (86e:22014)
- [6]
- L. Clozel, J.-P. Labesse, and R. Langlands, Morning seminar on the trace formula, Lecture Notes, Institute for Advanced Study, Princeton Univ.
- [7]
- R. Langlands, On the functional equations satisfied by Eisenstein series, Lecture Notes in Math., Springer, Berlin and New York, no. 544, 1976. MR 0579181 (58:28319)
- [8]
- J. Rogawski, The trace Paley-Wiener theorem in the twisted case, preprint. MR 957068 (89k:22035)
- [9]
- D. Shelstad,
 -indistinguishability for real groups, Math. Ann. 259 (1982), 385-430. MR 661206 (84c:22017)
Similar Articles
Retrieve articles in Journal of the American Mathematical Society
with MSC:
22E55,
11F70,
11F72
Retrieve articles in all journals
with MSC:
22E55,
11F70,
11F72
Additional Information
James Arthur
Affiliation:
DOI:
http://dx.doi.org/10.1090/S0894-0347-1988-0928262-5
PII:
S 0894-0347(1988)0928262-5
Article copyright:
© Copyright 1988 American Mathematical Society
|
