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.
  Remark: 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
  Remark: 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
  Remark: 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
  Remark: 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.
  Remark: 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
  Remark: 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
  Remark: 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.
  Remark: 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 (uncorrected, complete draft; to appear as a Colloquium Publication of the American Mathematical Society) (2012)
• [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) (2012)