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
[ MR 0360470 ] (Reviewed by J.-P. Labesse)

[2] Some tempered distributions on semisimple groups of real rank one
Annals of Mathematics (2) 100 (1974)
pp. 553--584
[ MR 0360934 ] (Reviewed by P. C. Trombi)

[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
[ MR 0460539 ] (Reviewed by P. C. Trombi)

[4] The characters of discrete series as orbital integrals
Inventiones Mathematicae 32 (1976 )
pp. 205--261
[ MR 0412348 ] (Reviewed by E. A. Thieleker)

[5] A truncation process for reductive groups
Bulletin of the American Mathematical Society 83 (1977)
pp. 748--750
[ MR 0480886 ]

[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)
[ MR 0546601 ] (Reviewed by A. B. Venkov)

[7] A trace formula for reductive groups I. Terms associated to classes in G(Q)
Duke Mathematics Journal 45 (1978)
pp. 911--952
[ MR 0518111 ] (Reviewed by Stephen Gelbart)

[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)
[ MR 0500463 ] (Reviewed by P. C. Trombi)

[9] A trace formula for reductive groups II. Applications of a truncation operator
Compositio Mathematicae 40 (1980)
pp. 87--121
[ MR 0558260 ] (Reviewed by Stephen Gelbart)

[10] The trace formula in invariant form
Annals of Mathematics (2) 114 (1981)
pp. 1--74
[ MR 0625344 ] (Reviewed by Freydoon Shahidi)

[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)
[ MR 0670091 ] (Reviewed by Ernst-Wilhelm Zink)

[12] On the inner product of truncated Eisenstein series
Duke Mathematics Journal 49 (1982)
pp. 35--70
[ MR 0650368 ] (Reviewed by Martin L. Karel)

[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
[ MR 0681737 ]

[14] On a family of distributions obtained from Eisenstein series II. Explicit formulas
American Journal of Mathematics 104 (1982)
pp. 1289--1336
[ MR 0681738 ] (Reviewed by Freydoon Shahidi)

[15] A Paley-Wiener theorem for real reductive groups
Acta Mathematica 150 (1983)
pp. 1--89
[ MR 0697608 ] (Reviewed by P. C. Trombi)

[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)
[ MR 0723181 ] (Reviewed by Stephen Gelbart)

[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)
[ MR 0733803 ] (Reviewed by D. Mili\v ci\'c)

[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)
[ MR 0748504 ] (Reviewed by A. B. Venkov)

[19] The trace formula for noncompact quotient
pp. 849--859 in Proceedings of the International Congress of Mathematicians
Published by PWN, Warsaw
(1984)
[ MR 0804739 ] (Reviewed by A. B. Venkov)

[20] A measure on the unipotent variety
Canadian Journal of Mathematics 37 (1985)
pp. 1237--1274
[ MR 0828844 ] (Reviewed by A. B. Venkov)

[21] On a family of distributions obtained from orbits
Canadian Journal of Mathematics 38 (1986)
pp. 179--214
[ MR 0835041 ] (Reviewed by A. B. Venkov)

[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)
[ MR 0853551 ] (Reviewed by Stephen Gelbart)

[23] The characters of supercuspidal representations as weighted orbital integrals
Proc. Indian Acad. Sci. Math. Sci. 97 (1987)
pp. 3--19
[ MR 0983600 ] (Reviewed by David Manderscheid)

[24] The local behaviour of weighted orbital integrals
Duke Mathematics Journal 56 (1988)
pp. 223--293
[ MR 0932848 ] (Reviewed by Stephen Gelbart)

[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)
[ MR 0974334 ] (Reviewed by Roberto J. Miatello)

[26] The invariant trace formula I. Local theory
Journal of the American Mathematical Society 1 (1988)
pp. 323--383
[ MR 0928262 ] (Reviewed by A. B. Venkov)

[27] The invariant trace formula II. Global theory
J. American Mathematical Society 1 (1988)
pp. 501--554
[ MR 0939691 ] (Reviewed by A. B. Venkov)

[28] Intertwining operators and residues I. Weighted characters
Journal of Functional Analysis 84 (1989)
pp. 19--84
[ MR 0999488 ] (Reviewed by David Joyner)

[29] Intertwining operators and residues II. Invariant distributions
Compositio Mathematicae 70 (1989)
pp. 51--99
[ MR 0993173 ] (Reviewed by David Joyner)

[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)
[ MR 1007299 ] (Reviewed by Stephen Gelbart)

[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)
[ MR 0993309 ] (Reviewed by Werner Hoffmann)

[32] The L²-Lefschetz numbers of Hecke operators
Inventiones Mathematicae 97 (1989)
pp. 257--290
[ MR 1001841 ] (Reviewed by Stephen Gelbart)

[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)
[ MR 1011896 ] (Reviewed by Takeshi Kawazoe)

[34] Unipotent automorphic representations: conjectures
pp. 13--71 in Orbites unipotentes et représentations, II.
Astérisque 171-172
(1989)
[ MR 1021499 ] (Reviewed by Marko Tadi\'c)

[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)
[ MR 1044818 ] (Reviewed by Stephen Gelbart)

[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)
[ MR 1463695 ] (Reviewed by Werner Hoffmann)

[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)
[ MR 1110389 ] (Reviewed by David Manderscheid)

[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)
[ MR 1168477 ] (Reviewed by Jeffrey Adams)

[39] A local trace formula
Institut des Hautes Études Scientifiques Publications Mathématiques 73 (1991)
pp. 5--96
[ MR 1114210 ] (Reviewed by Stephen Gelbart)

[40] On elliptic tempered characters
Acta Mathematica 171 (1993)
pp. 73--138
[ MR 1237898 ] (Reviewed by Rebecca Herb)

[41] On the Fourier transforms of weighted orbital integrals
Journal für die Reine und Angewandte Mathematik 452 (1994)
pp. 163--217
[ MR 1282200 ] (Reviewed by Stephen Gelbart)

[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)
[ MR 1303605 ] (Reviewed by Marko Tadi\'c)

[43] L²-cohomology and automorphic representations
pp. 1--17 in Canadian Mathematical Society 1945--1995
3
Published by Canadian Math. Soc., Ottawa, Ontario
(1996)
[ MR 1661609 ] (Reviewed by Takeshi Kawazoe)

[44] On local character relations
Selecta Math. (N.S.) 2 pp. 501--579
[ MR 1443184 ]

[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)
[ MR 1479667 ]

[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)
[ MR 1476508 ] (Reviewed by Dihua Jiang)

[47] Canonical normalization of weighted characters and a transfer conjecture
Comptes Rendues Math. Acad. Sci. Soc. R. Can. 20 (1998)
pp. 33--52
[ MR 1623485 ] (Reviewed by Dihua Jiang)

[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)
[ MR 1648100 ] (Reviewed by Wee Teck Gan)

[49] On the transfer of distributions: weighted orbital integrals
Duke Mathematics Journal 99 (1999)
pp. 209--283
[ MR 1708030 ] (Reviewed by Volker Heiermann)

[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
[ MR 1756875 ] (Reviewed by Anton Deitmar)

[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)
[ MR 1767893 ] (Reviewed by Anton Deitmar)

[52] Harmonic analysis and group representations
Notices of the American Mathematical Society 47 (2000)
pp. 26--34
[ MR 1733064 ]

[53] A stable trace formula II. Global descent
Inventiones Mathematicae 143 (2001)
pp. 157--220
[ MR 1802795 ] (Reviewed by Volker Heiermann)

[54] A stable trace formula I. General expansions
Journal of the Institute of Mathematics of Jussieu 1 (2002)
pp. 175--277
[ MR 1954821 ] (Reviewed by Volker Heiermann)

[55] A stable trace formula III. Proof of the main theorems
Annals of Mathematics (2) 158 (2003)
pp. 769--873
[ MR 2031854 ] (Reviewed by Volker Heiermann)

[56] A note on the automorphic Langlands group
(Dedicated to Robert V. Moody)
Canadian Mathematics Bulletin 45 (2002)
pp. 466--482
[ MR 1941222 ] (Reviewed by Mahdi Asgari)

[57] The principle of functoriality
pp. 39--53 in Mathematical challenges of the 21st century
Bulletin of the American Mathematical Society 40
(2003)
[ MR 1943132 ] (Reviewed by Mahdi Asgari)

[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)
[ MR 2058604 ] (Reviewed by Jeff Hakim)

[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)
[ MR 2046057 ] (Reviewed by Henry Heatherly)

[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)
[ MR 2192011 ]

[63] AMS President's address at Abel celebration
Notices Amer. Math. Soc. 52 (2005)
pp. 745--746
[ MR 2159687 ]

[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)