The collected works of James G. Arthur
The papers (arranged by year of publication)
[1]
The Selberg trace formula for groups of F-rank one
Annals of Mathematics (2)
100
(1974)
pp. 326--385
[2]
Some tempered distributions on semisimple groups of real rank one
Annals of Mathematics (2)
100
(1974)
pp. 553--584
[3]
A theorem on the Schwartz space of a reductive Lie group
Proceedings of the National Academy of Sciences U.S.A.
72
(1975)
pp. 4718--4719
[4]
The characters of discrete series as orbital integrals
Inventiones Mathematicae
32
(1976 )
pp. 205--261
[5]
A truncation process for reductive groups
Bulletin of the American Mathematical Society
83
(1977)
pp. 748--750
[6]
Eisenstein series and the trace formula
pp. 253--274 in
Automorphic forms, representations and L-functions
Proceedings of Symposia in Pure Mathematics
XXXIII
(1979)
[7]
A trace formula for reductive groups I. Terms associated to classes in G(Q)
Duke Mathematics Journal
45
(1978)
pp. 911--952
[8]
Harmonic analysis of invariant distributions
Lie theories and their applications
pp. 384--393
Queen's Papers in Pure and Applied Mathematics
48
Published by Queen's Univ., Kingston, Ont.
(1978)
[9]
A trace formula for reductive groups II. Applications of a truncation operator
Compositio Mathematicae
40
(1980)
pp. 87--121
[10]
The trace formula in invariant form
Annals of Mathematics (2)
114
(1981)
pp. 1--74
[11]
Automorphic representations and number theory
pp. 3--51 in
1980 Seminar on Harmonic Analysis (Montreal, Que., 1980)
CMS Conference Proceedings
1
Published by American Mathematical Society, Providence, R.I.
(1981)
[12]
On the inner product of truncated Eisenstein series
Duke Mathematics Journal
49
(1982)
pp. 35--70
[13]
On a family of distributions obtained from Eisenstein series I. Application of the Paley-Wiener theorem
American Journal of Mathematics
104
(1982)
pp. 1243--1288
[14]
On a family of distributions obtained from Eisenstein series II. Explicit formulas
American Journal of Mathematics
104
(1982)
pp. 1289--1336
[15]
A Paley-Wiener theorem for real reductive groups
Acta Mathematica
150
(1983)
pp. 1--89
[16]
The trace formula for reductive groups
pp. 1--41 in
Conference on automorphic theory
Publications Mathématiques Université Paris VII
15
Published by Université Paris VII, Paris
(1983)
[17]
Multipliers and a Paley-Wiener theorem for real reductive groups
pp. 1--19 in
Representation theory of reductive groups
Published by Birkhäuser Boston, Boston, MA
(1983)
[18]
On some problems suggested by the trace formula
pp. 1--49 in
Lie group representations, II
Lecture Notes in Mathematics
1041
Published by Springer, Berlin
(1984)
[19]
The trace formula for noncompact quotient
pp. 849--859 in
Proceedings of the International Congress of Mathematicians
Published by PWN, Warsaw
(1984)
[20]
A measure on the unipotent variety
Canadian Journal of Mathematics
37
(1985)
pp. 1237--1274
[21]
On a family of distributions obtained from orbits
Canadian Journal of Mathematics
38
(1986)
pp. 179--214
[22]
The Fourier transform of weighted orbital integrals on SL(2,R)
with Rebecca A. Herb and Paul J. Sally, Jr.
pp. 17--37 in
The Selberg trace formula and related topics
Contemporary Mathematics
53
Published by American Mathematical Society, Providence, RI
(1986)
[23]
The characters of supercuspidal representations as weighted orbital integrals
Proc. Indian Acad. Sci. Math. Sci.
97
(1987)
pp. 3--19
[24]
The local behaviour of weighted orbital integrals
Duke Mathematics Journal
56
(1988)
pp. 223--293
[25]
Characters, harmonic analysis, and an L2-Lefschetz formula
pp. 167--179 in
The mathematical heritage of Hermann Weyl
Proceedings of Symposia in Pure Mathematics
48
Published by American Mathematical Society, Providence, RI
(1988)
[26]
The invariant trace formula I. Local theory
Journal of the American Mathematical Society
1
(1988)
pp. 323--383
[27]
The invariant trace formula II. Global theory
J. American Mathematical Society
1
(1988)
pp. 501--554
[28]
Intertwining operators and residues I. Weighted characters
Journal of Functional Analysis
84
(1989)
pp. 19--84
[29]
Intertwining operators and residues II. Invariant distributions
Compositio Mathematicae
70
(1989)
pp. 51--99
[30]
Simple algebras, base change, and the advanced theory of the trace formula
with Laurent Clozel
Annals of Mathematics Studies
120
Published by Princeton University Press, Princeton, NJ
(1989)
[31]
The trace formula and Hecke operators
pp. 11--27 in
Number theory, trace formulas and discrete groups
Published by Academic Press, Boston MA
(1989)
[32]
The L2-Lefschetz numbers of Hecke operators
Inventiones Mathematicae
97
(1989)
pp. 257--290
[33]
Harmonic analysis of tempered distributions on semisimple Lie groups of real rank one
pp. 13--100 in
Representation theory and harmonic analysis on semisimple Lie groups
Mathematical Surveys Monographs
31
Published by American Mathematical Society, Providence, RI
(1989)
(Dissertation, Yale University, New Haven, CT, 1970)
[34]
Unipotent automorphic representations: conjectures
pp. 13--71 in
Orbites unipotentes et représentations, II.
Astérisque
171-172
(1989)
[35]
Unipotent automorphic representations: global motivation
pp. 1--75 in
Automorphic forms, Shimura varieties, and L-functions, Vol. I
Perspectives in Mathematics
10
Published by Academic Press, Boston, MA
(1990)
[36]
Towards a local trace formula
pp. 1--23 in
Algebraic analysis, geometry, and number theory
Published by Johns Hopkins Univ. Press, Baltimore MD
(1989)
[37]
Lectures on automorphic L-functions
with Stephen Gelbart
pp. 1--59 in
L-functions and arithmetic
London Math. Soc. Lecture Note Ser.
153
Published by Cambridge Univ. Press, Cambridge
(1991)
[38]
Some problems in local harmonic analysis
pp. 57--78 in
Harmonic analysis on reductive groups
Progress in Mathematics
101
Published by Birkhäuser Boston MA
(1991)
[39]
A local trace formula
Institut des Hautes Études Scientifiques Publications Mathématiques
73
(1991)
pp. 5--96
[40]
On elliptic tempered characters
Acta Mathematica
171
(1993)
pp. 73--138
[41]
On the Fourier transforms of weighted orbital integrals
Journal für die Reine und Angewandte Mathematik
452
(1994)
pp. 163--217
[42]
The trace Paley Wiener theorem for Schwartz functions
pp. 171--180 in
Representation theory and analysis on homogeneous spaces
Contemporary Mathematics
177
Published by American Mathematical Society, Providence, RI
(1994)
[43]
L2-cohomology and automorphic representations
pp. 1--17 in
Canadian Mathematical Society 1945--1995
3
Published by Canadian Math. Soc., Ottawa, Ontario
(1996)
[44]
On local character relations
Selecta Math. (N.S.)
2
pp. 501--579
[45]
The problem of classifying automorphic representations of classical groups
pp. 1--12 in
Advances in mathematical sciences: CRM's 25 years
CRM Proc. Lecture Notes
11
(1997)
[46]
Stability and endoscopy: informal motivation
pp. 433--442 in
Representation theory and automorphic forms
Proceedings of Symposia in Pure Mathematics
61
Published by American Mathematical Society, Providence, RI
(1997)
[47]
Canonical normalization of weighted characters and a transfer conjecture
Comptes Rendues Math. Acad. Sci. Soc. R. Can.
20
(1998)
pp. 33--52
[48]
Towards a stable trace formula
pp. 507--517 in
Proceedings of the International Congress of Mathematicians, Vol. II
Documenta Mathematica
(1998)
(Extra Vol. II)
[49]
On the transfer of distributions: weighted orbital integrals
Duke Mathematics Journal
99
(1999)
pp. 209--283
[50]
Endoscopic L-functions and a combinatorial identity
(Dedicated to H. S. M. Coxeter on the occasion of his 90th birthday)
Canadian Journal of Mathematics
51
(1999)
pp. 1135--1148
[51]
Stabilization of a family of differential equations
pp. 77--95 in
The mathematical legacy of Harish-Chandra
Proceedings of Symposia in Pure Mathematics
68
Published by American Mathematical Society, Providence, RI
(2000)
[52]
Harmonic analysis and group representations
Notices of the American Mathematical Society
47
(2000)
pp. 26--34
[53]
A stable trace formula II. Global descent
Inventiones Mathematicae
143
(2001)
pp. 157--220
[54]
A stable trace formula I. General expansions
Journal of the Institute of Mathematics of Jussieu
1
(2002)
pp. 175--277
[55]
A stable trace formula III. Proof of the main theorems
Annals of Mathematics (2)
158
(2003)
pp. 769--873
[56]
A note on the automorphic Langlands group
(Dedicated to Robert V. Moody)
Canadian Mathematics Bulletin
45
(2002)
pp. 466--482
[57]
The principle of functoriality
pp. 39--53 in
Mathematical challenges of the 21st century
Bulletin of the American Mathematical Society
40
(2003)
[58]
Automorphic representations of GSp(4)
pp. 65--81 in
Contributions to automorphic forms, geometry, and number theory
Published by Johns Hopkins University Press, Baltimore, MD
(2004)
[59]
Germ expansions for real groups
(Preprint)
(2004)
[60]
Armand Borel (1923--2003)
(Part of a memorial article )
with Enrico Bombieri, Komaravolu Chandrasekharan, Gopal Prasad, Jean-Pierre Serre, Tonny Springer, and Jacques Tits
Notices of the American Mathematical Society
51
(2004)
pp. 498--524
(Reprinted in the Asian Journal of Mathematics 8 (2004), pp. xlvii--xcvi)
[61]
Harmonic analysis in mathematics
Ideas
2
(Published by the Faculty of Arts and Sciences, University of Toronto)
pp. 64
[62]
An introduction to the trace formula
pp. 1--263 in
Harmonic analysis, the trace formula, and Shimura varieties
Clay Mathematics Proceedings
4
Published by American Mathematical Society, Providence, RI
(2005)
[63]
AMS President's address at Abel celebration
Notices Amer. Math. Soc.
52
(2005)
pp. 745--746
[64]
A note on L-packets
Pure and Appl. Math. Quarterly
2
(2006)
pp. 199-217
[65]
An asymptotic formula for real groups
Journal für die reine und angewandte Mathematik
601
(2006)
pp. 163-230
[66]
Parabolic transfer for real groups
(Preprint)
(2006)
[67]
Problems for real groups
(submitted to the proceedings of a conference on representations of real groups, Snowbird, Utah in June 4-8, 2007)
[68]
A (very brief) history of the trace formula
(based on a lecture at PIMS, contributed to the PIMS Newsletter 10 (2007), pp. 8-11)
[69]
Report on the trace formula
(submitted to the proceedings of the conference Automorphic Forms and L-functions, on the occasion of the 60th birthday of Steve Gelbart, 2007, Rehovot and Tel-Aviv, Israel)
[70]
Induced representations, intertwining operators and transfer
(submitted to the proceedings of the AMS Special Session Group Representations, Ergodic Theory, and Mathematical Physics: A Special Session Honoring the Memory of George W. Mackey, 2007, in New Orleans)