The collected works of James G. Arthur

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The papers (arranged by year of publication)

[1] The Selberg trace formula for groups of F-rank one, Annals of Mathematics (2) 100 (1974), 326--385 [MR0360470: reviewed by J.-P. Labesse]

[2] Some tempered distributions on semisimple groups of real rank one, Annals of Mathematics (2) 100 (1974), 553--584 [MR0360934: 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), 4718--4719 [MR0460539: reviewed by P. C. Trombi]

[4] The characters of discrete series as orbital integrals, Inventiones Mathematicae 32 (1976), 205--261 [MR0412348: reviewed by E. A. Thieleker]

[5] A truncation process for reductive groups, Bulletin of the American Mathematical Society 83 (1977), 748--750 [MR0480886]

[6] Eisenstein series and the trace formula, pages 253--274 in Automorphic forms, representations and L-functions, Proceedings of Symposia in Pure Mathematics XXXIII, 1979.
[MR0546601: 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), 911--952 [MR0518111: reviewed by Stephen Gelbart]

[8] Harmonic analysis of invariant distributions, pages 384--393 in Lie theories and their applications, Queen's Papers in Pure and Applied Mathematics 48, Queen's University, Kingston, Ontario, 1978.
[MR0500463: reviewed by P. C. Trombi]

[9] A trace formula for reductive groups II. Applications of a truncation operator, Compositio Mathematicae 40 (1980), 87--121 [MR0558260: reviewed by Stephen Gelbart]

[10] The trace formula in invariant form, Annals of Mathematics (2) 114 (1981), 1--74 [MR0625344: reviewed by Freydoon Shahidi]

[11] Automorphic representations and number theory, pages 3--51 in 1980 Seminar on Harmonic Analysis (Montreal, Que., 1980), CMS Conference Proceedings 1, American Mathematical Society, Providence, R.I., 1981.
[MR0670091: reviewed by Ernst-Wilhelm Zink]

[12] On the inner product of truncated Eisenstein series, Duke Mathematics Journal 49 (1982), 35--70 [MR0650368: 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), 1243--1288 [MR0681737]

[14] On a family of distributions obtained from Eisenstein series II. Explicit formulas, American Journal of Mathematics 104 (1982), 1289--1336 [MR0681738: reviewed by Freydoon Shahidi]

[15] A Paley-Wiener theorem for real reductive groups, Acta Mathematica 150 (1983), 1--89 [MR0697608: reviewed by P. C. Trombi]

[16] The trace formula for reductive groups, pages 1--41 in Conference on automorphic theory, Publications Mathématiques Université Paris VII 15, Université Paris VII, Paris, 1983.
[MR0723181: reviewed by Stephen Gelbart]

[17] Multipliers and a Paley-Wiener theorem for real reductive groups, pages 1--19 in Representation theory of reductive groups, 1983.
[MR0733803: reviewed by D. Milicic]

[18] On some problems suggested by the trace formula, pages 1--49 in Lie group representations, II, Lecture Notes in Mathematics 1041, Springer, Berlin, 1984.
[MR0748504: reviewed by A. B. Venkov]

[19] The trace formula for noncompact quotient, pages 849--859 in Proceedings of the International Congress of Mathematicians, 1984.
[MR0804739: reviewed by A. B. Venkov]

[20] A measure on the unipotent variety, Canadian Journal of Mathematics 37 (1985), 1237--1274 [MR0828844: reviewed by A. B. Venkov]

[21] On a family of distributions obtained from orbits, Canadian Journal of Mathematics 38 (1986), 179--214 [MR0835041: 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.), pages 17--37 in The Selberg trace formula and related topics, Contemporary Mathematics 53, American Mathematical Society, Providence, RI, 1986.
[MR0853551: reviewed by Stephen Gelbart]

[23] The characters of supercuspidal representations as weighted orbital integrals, Proc. Indian Acad. Sci. Math. Sci. 97 (1987), 3--19 [MR0983600: reviewed by David Manderscheid]

[24] The local behaviour of weighted orbital integrals, Duke Mathematics Journal 56 (1988), 223--293 [MR0932848: reviewed by Stephen Gelbart]

[25] Characters, harmonic analysis, and an L2-Lefschetz formula, pages 167--179 in The mathematical heritage of Hermann Weyl, Proceedings of Symposia in Pure Mathematics 48, American Mathematical Society, Providence, RI, 1988.
[MR0974334: reviewed by Roberto J. Miatello]

[26] The invariant trace formula I. Local theory, Journal of the American Mathematical Society 1 (1988), 323--383 [MR0928262: reviewed by A. B. Venkov]

[27] The invariant trace formula II. Global theory, Journal of the American Mathematical Society 1 (1988), 501--554 [MR0939691: reviewed by A. B. Venkov]

[28] Intertwining operators and residues I. Weighted characters, Journal of Functional Analysis 84 (1989), 19--84 [MR0999488: reviewed by David Joyner]

[29] Intertwining operators and residues II. Invariant distributions, Compositio Mathematicae 70 (1989), 51--99 [MR0993173: reviewed by David Joyner]

[30] Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula (with Laurent Clozel), Princeton University Press, Princeton, NJ, 1989.
[MR1007299: reviewed by Stephen Gelbart]

[31] The trace formula and Hecke operators, pages 11--27 in Number theory, trace formulas and discrete groups, 1989.
[MR0993309: reviewed by Werner Hoffmann]

[32] The L2-Lefschetz numbers of Hecke operators, Inventiones Mathematicae 97 (1989), 257--290 [MR1001841: reviewed by Stephen Gelbart]

[33] Harmonic analysis of tempered distributions on semisimple Lie groups of real rank one, pages 13--100 in Representation theory and harmonic analysis on semisimple Lie groups, Mathematical Surveys Monographs 31, American Mathematical Society, Providence, RI, 1989.
[Dissertation, Yale University, New Haven, CT, 1970]
[MR1011896: reviewed by Takeshi Kawazoe]

[34] Unipotent automorphic representations: conjectures, pages 13--71 in Orbites unipotentes et représentations, II., Astérisque 171-172, 1989.
[MR1021499: reviewed by Marko Tadic;]

[35] Unipotent automorphic representations: global motivation, pages 1--75 in Automorphic forms, Shimura varieties, and L-functions, Vol. I, Perspectives in Mathematics 10, Academic Press, Boston, MA, 1990.
[MR1044818: reviewed by Stephen Gelbart]

[36] Towards a local trace formula, pages 1--23 in Algebraic analysis, geometry, and number theory, 1989.
[MR1463695: reviewed by Werner Hoffmann]

[37] Lectures on automorphic L-functions (with Stephen Gelbart), pages 1--59 in L-functions and arithmetic, London Math. Soc. Lecture Note Ser. 153, Cambridge Univ. Press, Cambridge, 1991.
[MR1110389: reviewed by David Manderscheid]

[38] Some problems in local harmonic analysis, pages 57--78 in Harmonic analysis on reductive groups, Progress in Mathematics 101, Birkhäuser Boston MA, 1991.
[MR1168477: reviewed by Jeffrey Adams]

[39] A local trace formula, Institut des Hautes Études Scientifiques Publications Mathématiques 73 (1991), 5--96 [MR1114210: reviewed by Stephen Gelbart]

[40] On elliptic tempered characters, Acta Mathematica 171 (1993), 73--138 [MR1237898: reviewed by Rebecca Herb]

[41] On the Fourier transforms of weighted orbital integrals, Journal für die Reine und Angewandte Mathematik 452 (1994), 163--217 [MR1282200: reviewed by Stephen Gelbart]

[42] The trace Paley Wiener theorem for Schwartz functions, pages 171--180 in Representation theory and analysis on homogeneous spaces, Contemporary Mathematics 177, American Mathematical Society, Providence, RI, 1994.
[MR1303605: reviewed by Marko Tadic]

[43] L2-cohomology and automorphic representations, pages 1--17 in Canadian Mathematical Society 1945--1995, volume 3, Canadian Mathematical Society, Ottawa, Ontario, 1996.
[MR1661609: reviewed by Takeshi Kawazoe]

[44] On local character relations, Selecta Math. (N.S.) 2 (1996), 501--579 [MR1443184]

[45] The problem of classifying automorphic representations of classical groups, pages 1--12 in Advances in mathematical sciences: CRM's 25 years, None 11, 1997.
[MR1479667]

[46] Stability and endoscopy: informal motivation, pages 433--442 in Representation theory and automorphic forms, None 61, American Mathematical Society, Providence, RI, 1997.
[MR1476508: reviewed by Dihua Jiang]

[47] Canonical normalization of weighted characters and a transfer conjecture, Comptes Rendues Math. Acad. Sci. Soc. R. Can. 20 (1998), 33--52 [MR1623485: reviewed by Dihua Jiang]

[48] Towards a stable trace formula, pages 507--517 in Proceedings of the International Congress of Mathematicians, Vol. II, 1998.
[MR1648100: reviewed by Wee Teck Gan]

[49] On the transfer of distributions: weighted orbital integrals, Duke Mathematics Journal 99 (1999), 209--283 [MR1708030: reviewed by Volker Heiermann]

[50] Endoscopic L-functions and a combinatorial identity, Canadian Journal of Mathematics 51 (1999), 1135--1148
[Dedicated to H. S. M. Coxeter on the occasion of his 90th birthday
[MR1756875: reviewed by Anton Deitmar]

[51] Stabilization of a family of differential equations, pages 77--95 in The mathematical legacy of Harish-Chandra, Proceedings of Symposia in Pure Mathematics 68, American Mathematical Society, Providence, RI, 2000.
[MR1767893: reviewed by Anton Deitmar]

[52] Harmonic analysis and group representations, Notices of the American Mathematical Society 47 (2000), 26--34 [MR1733064]

[53] A stable trace formula II. Global descent, Inventiones Mathematicae 143 (2001), 157--220 [MR1802795: reviewed by Volker Heiermann]

[54] A stable trace formula I. General expansions, Journal of the Institute of Mathematics of Jussieu 1 (2002), 175--277 [MR1954821: reviewed by Volker Heiermann]

[55] A stable trace formula III. Proof of the main theorems, Annals of Mathematics (2) 158 (2003), 769--873 [MR2031854: reviewed by Volker Heiermann]

[56] A note on the automorphic Langlands group, Canadian Mathematics Bulletin 45 (2002), 466--482
[Dedicated to Robert V. Moody
[MR1941222: reviewed by Mahdi Asgari]

[57] The principle of functoriality, Bulletin of the American Mathematical Society 40 (2003), 39--53
[A special issue on mathematical challenges of the 21st century, based on a conference in Los Angeles CA, 2000
[MR1943132: reviewed by Mahdi Asgari]

[58] Automorphic representations of GSp(4), pages 65--81 in Contributions to automorphic forms, geometry, and number theory, 2004.
[Conference in honor of Joe Shalika]
[MR2058604: reviewed by Jeff Hakim]

[59] Germ expansions for real groups, preprint, 2004.

[60] Armand Borel (1923--2003) (with Enrico Bombieri, Komaravolu Chandrasekharan, Gopal Prasad, Jean-Pierre Serre, Tonny Springer, and Jacques Tits), Notices of the American Mathematical Society 51 (2004), 498--524
[Reprinted in the Asian Journal of Mathematics 8 (2004), pp. xlvii--xcvi
[MR2046057: reviewed by Henry Heatherly]

[61] Harmonic analysis in mathematics, Ideas 2 (2005), 64
[Published by the Faculty of Arts and Sciences, University of Toronto

[62] AMS President's address at Abel celebration, Notices Amer. Math. Soc. 52 (2005), 745--746 [MR2159687]

[63] An introduction to the Trace Formula, pages 1--263 in Harmonic analysis, the trace formula, and Shimura varieties, Clay Mathematics Proceedings 4, American Mathematical Society, Providence, RI, 2005.
[MR2192011: reviewed by Erez Lapid]

[64] A note on L-packets, Pure and Applied Mathematics Quarterly 2 (2006), 199--217 [MR2217572: reviewed by B. Sury]

[65] An asymptotic formula for real groups, Journal für die Reine und Angewandte Mathematik 601 (2006), 163--230 [MR2289209: reviewed by David A. Renard]

[66] Parabolic transfer for real groups, Journal of the American Mathematical Society 21 (2008), 171--234 [MR2350054: reviewed by David A. Renard]

[67] A (very brief) history of the trace formula, Newsletter of the Pacific Institute for the Mathematical Sciences 10 (2007), 8--11

[68] Problems for real groups, pages 39--62 in Representation theory of real reductive groups, Contemporary Mathematics 472, 2008.
[MR2478455: reviewed by Werner Hoffmann]

[69] Report on the trace formula, pages 1--12 in Automorphic forms and L-functions I. Global aspects, Contemporary Mathematics 488, 2009.
[MR2522025: reviewed by Werner Hoffmann]

[70] Induced representations, intertwining operators, and transfer for real groups, pages 51--67 in Group representations, ergodic theory, and mathematical physics: a tribute to George Mackey, Contemporary Mathematics 449, 2008.
[MR2391798: reviewed by David A. Renard]

[71] The embedded eigenvalue problem for classical groups, pages 19-31 in On certain L-functions, Contemporary Mathematics 13, AMS, 2008.
[Proceedings of a conference in honor of Freydoon Shahidi]

[72] Transfer, the Fundamental Lemma, and the work of Waldspurger, pages 7--9 in Clay Mathematics Annual Report, Clay Mathematics Institute, Cambridge, MA, 2009.

[73] The work of Ngô Bau Châu, pages 57--70 in Proceedings of the International Congress of Mathematicians, 2010.

[74] The Endoscopic Classification of Representations: Orthogonal and Symplectic Groups. Published in 2013 as volume 61 in the series of Colloquium Publications by the American Mathematical Society.

[75] The endoscopic classification of representations (to appear in the proceedings of the International Colloquium on Automorphic Representations and L-functions held in January 2012 at the Tata Institute of Fundamental Research), preprint, 2012.