×

Arthur, James Greig

Author ID: arthur.james-g Recent zbMATH articles by "Arthur, James Greig"
Published as: Arthur, James; Arthur, James G.
Homepage: https://www.math.toronto.edu/arthur/
External Links: MGP · Wikidata · GND · IdRef
Awards: Wolf Prize (2015)

Publications by Year

Citations contained in zbMATH Open

71 Publications have been cited 1,753 times in 906 Documents Cited by Year
Simple algebras, base change, and the advanced theory of the trace formula. Zbl 0682.10022
Arthur, James; Clozel, Laurent
220
1989
The endoscopic classification of representations. Orthogonal and symplectic groups. Zbl 1310.22014
Arthur, James
213
2013
A trace formula for reductive groups. I: Terms associated to classes in G(Q). Zbl 0499.10032
Arthur, James G.
94
1978
An introduction to the trace formula. Zbl 1152.11021
Arthur, James
85
2005
Unipotent automorphic representations: Conjectures. Zbl 0728.22014
Arthur, James
81
1989
The trace formula in invariant form. Zbl 0495.22006
Arthur, James
69
1981
On elliptic tempered characters. Zbl 0822.22011
Arthur, James
55
1993
The invariant trace formula. II: Global theory. Zbl 0667.10019
Arthur, James
49
1988
A trace formula for reductive groups. II: Applications of a truncation operator. Zbl 0499.10033
Arthur, James G.
45
1980
Intertwining operators and residues. I: Weighted characters. Zbl 0679.22011
Arthur, James
45
1989
The local behaviour of weighted orbital integrals. Zbl 0649.10020
Arthur, James
43
1988
The endoscopic classification of representations. Zbl 1297.22023
Arthur, James
43
2013
The \(L^ 2\)-Lefschetz numbers of Hecke operators. Zbl 0692.22004
Arthur, James
41
1989
A Paley-Wiener theorem for real reductive groups. Zbl 0514.22006
Arthur, James
40
1983
The invariant trace formula. I: Local theory. Zbl 0682.10021
Arthur, James
39
1988
Eisenstein series and the trace formula. Zbl 0431.22016
Arthur, James
34
1979
Automorphic representations of \(\text{GSp}(4)\). Zbl 1080.11037
Arthur, James
31
2004
On a family of distributions obtained from Eisenstein series. II: Explicit formulas. Zbl 0562.22004
Arthur, James
31
1982
The characters of discrete series as orbital integrals. Zbl 0359.22008
Arthur, James
31
1976
On some problems suggested by the trace formula. Zbl 0541.22011
Arthur, James
30
1984
On local character relations. Zbl 0923.11081
Arthur, James
29
1996
A note on \(L\)-packets. Zbl 1158.22017
Arthur, James
29
2006
A local trace formula. Zbl 0741.22013
Arthur, James
28
1991
On a family of distributions obtained from orbits. Zbl 0593.22015
Arthur, James
28
1986
A measure on the unipotent variety. Zbl 0589.22016
Arthur, James
27
1985
A stable trace formula. I: General expansions. Zbl 1040.11038
Arthur, James
25
2002
On a family of distributions obtained from Eisenstein series. I: Application of the Paley-Wiener theorem. Zbl 0541.22010
Arthur, James
20
1982
On the transfer of distributions: Weighted orbital integrals. Zbl 0938.22019
Arthur, James
18
1999
On the inner product of truncated Eisenstein series. Zbl 0518.22012
Arthur, James
18
1982
A stable trace formula. III: Proof of the main theorems. Zbl 1051.11027
Arthur, James
17
2003
On the Fourier transforms of weighted orbital integrals. Zbl 0795.43006
Arthur, James
17
1994
Unipotent automorphic representations: Global motivation. Zbl 0692.10027
Arthur, James
17
1990
The Selberg trace formula for groups of F-rank one. Zbl 0257.20033
Arthur, James
15
1974
A note on the automorphic Langlands group. Zbl 1031.11066
Arthur, James
15
2002
A stable trace formula. II: Global descent. Zbl 0978.11025
Arthur, James
12
2001
The characters of supercuspidal representations as weighted orbital integrals. Zbl 0652.22009
Arthur, James
12
1987
Some tempered distributions on semi-simple groups of real rank one. Zbl 0258.22014
Arthur, James
8
1974
The principle of functoriality. Zbl 1158.11346
Arthur, James
8
2003
The trace Paley Wiener theorem for Schwartz functions. Zbl 0854.22011
Arthur, James
7
1994
A theorem on the Schwartz space of a reductive Lie group. Zbl 0311.43010
Arthur, James
7
1975
Problems beyond endoscopy. Zbl 1433.11059
Arthur, James
7
2017
Intertwining operators and residues. II: Invariant distributions. Zbl 0936.22012
Arthur, James
6
1989
Canonical normalization of weighted characters and a transfer conjecture. Zbl 0906.11021
Arthur, James
6
1998
Harmonic analysis of tempered distributions on semisimple Lie groups of real rank one. Zbl 0762.22007
Arthur, James G.
6
1989
Problems for real groups. Zbl 1159.22003
Arthur, James
5
2008
Lectures on automorphic \(L\)-functions. Zbl 0724.11030
Arthur, James; Gelbart, Stephen
4
1991
\(L^2\)-cohomology and automorphic representations. Zbl 1205.22010
Arthur, James
4
1996
Harmonic analysis, the trace formula, and Shimura varieties. Proceedings of the Clay Mathematics Institute 2003 summer school, Toronto, Canada, June 2–27, 2003. Zbl 1083.11002
3
2005
Stabilization of a family of differential equations. Zbl 0961.22012
Arthur, James
3
2000
Classifying automorphic representations. Zbl 1318.11069
Arthur, James
3
2013
Automorphic representations and number theory. Zbl 0549.12005
Arthur, James
3
1981
Harmonic analysis of invariant distributions. Zbl 0426.43014
Arthur, James
3
1978
Parabolic transfer for real groups. Zbl 1131.22004
Arthur, James
2
2008
Endoscopic \(L\)-functions and a combinatorial identity. Zbl 0949.22016
Arthur, James
2
1999
A stratification related to characteristic polynomials. Zbl 1473.11109
Arthur, James
2
2018
Report on the trace formula. Zbl 1245.11067
Arthur, James
2
2009
An asymptotic formula for real groups. Zbl 1117.22005
Arthur, James
2
2006
Towards a local trace formula. Zbl 0765.22010
Arthur, James
1
1989
Stability and endoscopy: Informal motivation. Zbl 0896.11045
Arthur, James
1
1997
The trace formula and Hecke operators. Zbl 0671.10026
Arthur, James
1
1989
Characters, harmonic analysis, and an \(L^ 2\)-Lefschetz formula. Zbl 0671.22007
Arthur, James
1
1988
Harmonic analysis and group representations. Zbl 0980.22012
Arthur, James
1
2000
The problem of classifying automorphic representations of classical groups. Zbl 0901.11013
Arthur, James
1
1997
Some problems in local harmonic analysis. Zbl 0761.22013
Arthur, James
1
1991
The embedded eigenvalue problem for classical groups. Zbl 1223.22017
Arthur, James
1
2011
Representation theory of real reductive Lie groups. AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, June 4–8, 2006. Zbl 1148.22001
1
2008
The trace formula for reductive groups. Zbl 0533.10029
Arthur, James
1
1983
Germ expansions for real groups. Zbl 1392.22011
Arthur, James
1
2016
The work of Ngô Bao Châu. Zbl 1251.11037
Arthur, James
1
2011
The Fourier transform of weighted orbital integrals on SL(2, \({\mathbb{R}})\). Zbl 0601.22007
Arthur, James; Herb, Rebecca A.; Sally, Paul J. jun.
1
1986
Functoriality and the trace formula. Zbl 1457.11066
Arthur, James
1
2018
A stratification related to characteristic polynomials. Zbl 1473.11109
Arthur, James
2
2018
Functoriality and the trace formula. Zbl 1457.11066
Arthur, James
1
2018
Problems beyond endoscopy. Zbl 1433.11059
Arthur, James
7
2017
Germ expansions for real groups. Zbl 1392.22011
Arthur, James
1
2016
The endoscopic classification of representations. Orthogonal and symplectic groups. Zbl 1310.22014
Arthur, James
213
2013
The endoscopic classification of representations. Zbl 1297.22023
Arthur, James
43
2013
Classifying automorphic representations. Zbl 1318.11069
Arthur, James
3
2013
The embedded eigenvalue problem for classical groups. Zbl 1223.22017
Arthur, James
1
2011
The work of Ngô Bao Châu. Zbl 1251.11037
Arthur, James
1
2011
Report on the trace formula. Zbl 1245.11067
Arthur, James
2
2009
Problems for real groups. Zbl 1159.22003
Arthur, James
5
2008
Parabolic transfer for real groups. Zbl 1131.22004
Arthur, James
2
2008
Representation theory of real reductive Lie groups. AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, June 4–8, 2006. Zbl 1148.22001
1
2008
A note on \(L\)-packets. Zbl 1158.22017
Arthur, James
29
2006
An asymptotic formula for real groups. Zbl 1117.22005
Arthur, James
2
2006
An introduction to the trace formula. Zbl 1152.11021
Arthur, James
85
2005
Harmonic analysis, the trace formula, and Shimura varieties. Proceedings of the Clay Mathematics Institute 2003 summer school, Toronto, Canada, June 2–27, 2003. Zbl 1083.11002
3
2005
Automorphic representations of \(\text{GSp}(4)\). Zbl 1080.11037
Arthur, James
31
2004
A stable trace formula. III: Proof of the main theorems. Zbl 1051.11027
Arthur, James
17
2003
The principle of functoriality. Zbl 1158.11346
Arthur, James
8
2003
A stable trace formula. I: General expansions. Zbl 1040.11038
Arthur, James
25
2002
A note on the automorphic Langlands group. Zbl 1031.11066
Arthur, James
15
2002
A stable trace formula. II: Global descent. Zbl 0978.11025
Arthur, James
12
2001
Stabilization of a family of differential equations. Zbl 0961.22012
Arthur, James
3
2000
Harmonic analysis and group representations. Zbl 0980.22012
Arthur, James
1
2000
On the transfer of distributions: Weighted orbital integrals. Zbl 0938.22019
Arthur, James
18
1999
Endoscopic \(L\)-functions and a combinatorial identity. Zbl 0949.22016
Arthur, James
2
1999
Canonical normalization of weighted characters and a transfer conjecture. Zbl 0906.11021
Arthur, James
6
1998
Stability and endoscopy: Informal motivation. Zbl 0896.11045
Arthur, James
1
1997
The problem of classifying automorphic representations of classical groups. Zbl 0901.11013
Arthur, James
1
1997
On local character relations. Zbl 0923.11081
Arthur, James
29
1996
\(L^2\)-cohomology and automorphic representations. Zbl 1205.22010
Arthur, James
4
1996
On the Fourier transforms of weighted orbital integrals. Zbl 0795.43006
Arthur, James
17
1994
The trace Paley Wiener theorem for Schwartz functions. Zbl 0854.22011
Arthur, James
7
1994
On elliptic tempered characters. Zbl 0822.22011
Arthur, James
55
1993
A local trace formula. Zbl 0741.22013
Arthur, James
28
1991
Lectures on automorphic \(L\)-functions. Zbl 0724.11030
Arthur, James; Gelbart, Stephen
4
1991
Some problems in local harmonic analysis. Zbl 0761.22013
Arthur, James
1
1991
Unipotent automorphic representations: Global motivation. Zbl 0692.10027
Arthur, James
17
1990
Simple algebras, base change, and the advanced theory of the trace formula. Zbl 0682.10022
Arthur, James; Clozel, Laurent
220
1989
Unipotent automorphic representations: Conjectures. Zbl 0728.22014
Arthur, James
81
1989
Intertwining operators and residues. I: Weighted characters. Zbl 0679.22011
Arthur, James
45
1989
The \(L^ 2\)-Lefschetz numbers of Hecke operators. Zbl 0692.22004
Arthur, James
41
1989
Intertwining operators and residues. II: Invariant distributions. Zbl 0936.22012
Arthur, James
6
1989
Harmonic analysis of tempered distributions on semisimple Lie groups of real rank one. Zbl 0762.22007
Arthur, James G.
6
1989
Towards a local trace formula. Zbl 0765.22010
Arthur, James
1
1989
The trace formula and Hecke operators. Zbl 0671.10026
Arthur, James
1
1989
The invariant trace formula. II: Global theory. Zbl 0667.10019
Arthur, James
49
1988
The local behaviour of weighted orbital integrals. Zbl 0649.10020
Arthur, James
43
1988
The invariant trace formula. I: Local theory. Zbl 0682.10021
Arthur, James
39
1988
Characters, harmonic analysis, and an \(L^ 2\)-Lefschetz formula. Zbl 0671.22007
Arthur, James
1
1988
The characters of supercuspidal representations as weighted orbital integrals. Zbl 0652.22009
Arthur, James
12
1987
On a family of distributions obtained from orbits. Zbl 0593.22015
Arthur, James
28
1986
The Fourier transform of weighted orbital integrals on SL(2, \({\mathbb{R}})\). Zbl 0601.22007
Arthur, James; Herb, Rebecca A.; Sally, Paul J. jun.
1
1986
A measure on the unipotent variety. Zbl 0589.22016
Arthur, James
27
1985
On some problems suggested by the trace formula. Zbl 0541.22011
Arthur, James
30
1984
A Paley-Wiener theorem for real reductive groups. Zbl 0514.22006
Arthur, James
40
1983
The trace formula for reductive groups. Zbl 0533.10029
Arthur, James
1
1983
On a family of distributions obtained from Eisenstein series. II: Explicit formulas. Zbl 0562.22004
Arthur, James
31
1982
On a family of distributions obtained from Eisenstein series. I: Application of the Paley-Wiener theorem. Zbl 0541.22010
Arthur, James
20
1982
On the inner product of truncated Eisenstein series. Zbl 0518.22012
Arthur, James
18
1982
The trace formula in invariant form. Zbl 0495.22006
Arthur, James
69
1981
Automorphic representations and number theory. Zbl 0549.12005
Arthur, James
3
1981
A trace formula for reductive groups. II: Applications of a truncation operator. Zbl 0499.10033
Arthur, James G.
45
1980
Eisenstein series and the trace formula. Zbl 0431.22016
Arthur, James
34
1979
A trace formula for reductive groups. I: Terms associated to classes in G(Q). Zbl 0499.10032
Arthur, James G.
94
1978
Harmonic analysis of invariant distributions. Zbl 0426.43014
Arthur, James
3
1978
The characters of discrete series as orbital integrals. Zbl 0359.22008
Arthur, James
31
1976
A theorem on the Schwartz space of a reductive Lie group. Zbl 0311.43010
Arthur, James
7
1975
The Selberg trace formula for groups of F-rank one. Zbl 0257.20033
Arthur, James
15
1974
Some tempered distributions on semi-simple groups of real rank one. Zbl 0258.22014
Arthur, James
8
1974
all top 5

Cited by 591 Authors

21 Arthur, James Greig
20 Clozel, Laurent
19 Jiang, Dihua
19 Lapid, Erez Moshe
19 Moeglin, Colette
16 Henniart, Guy M.
14 Shin, Sug Woo
13 Flicker, Yuval Z.
13 Waldspurger, Jean-Loup
12 Atobe, Hiraku
12 Delorme, Patrick
12 Finis, Tobias
12 Matić, Ivan
12 Shahidi, Freydoon
11 Hanzer, Marcela
11 Ichino, Atsushi
11 Kim, Henry H.
10 Aubert, Anne-Marie
10 Bushnell, Colin John
10 Chaudouard, Pierre-Henri
10 Gan, Wee Teck
10 Liu, Baiying
10 Renard, David A.
10 Solleveld, Maarten
9 Barbasch, Dan M.
9 Choiy, Kwangho
9 Gee, Toby
9 Jacquet, Hervé Michel
9 Matz, Jasmin
9 Thorne, Jack
8 Calegari, Frank
8 Chenevier, Gaëtan
8 Ginzburg, David
8 Harris, Michael Howard
8 Yamana, Shunsuke
8 Ye, Yangbo
7 Bergeron, Nicolas
7 Ciubotaru, Dan
7 Fel’shtyn, Alexander
7 Goldberg, David
7 Grbac, Neven
7 Li, Wen-Wei
7 Muić, Goran
7 Plymen, Roger J.
7 Rallis, Stephen James
7 Schlichtkrull, Henrik
7 Scholze, Peter
7 Taylor, Richard
7 Templier, Nicolas
7 Zydor, Michał
6 Ban, Dubravka
6 Beuzart-Plessis, Raphaël
6 Caraiani, Ana
6 Geraghty, David
6 Jantzen, Chris
6 Mezo, Paul
6 Morimoto, Kazuki
6 Van den Ban, Erik Peter
6 Wakatsuki, Satoshi
6 Yamauchi, Takuya
5 Blomer, Valentin
5 Cunningham, Clifton L. R.
5 Hoffmann, Werner
5 Kaletha, Tasho
5 Kottwitz, Robert Edward
5 Laumon, Gérard
5 Müller, Werner
5 Offen, Omer
5 Pilloni, Vincent
5 Sarnak, Peter Clive
5 Schmidt, Ralf
5 Soudry, David
5 Taïbi, Olivier
4 Asgari, Mahdi
4 Barnet-Lamb, Thomas
4 Baum, Paul Frank
4 Bošnjak, Barbara
4 Furusawa, Masaaki
4 Gelbart, Stephen S.
4 Gillespie, Timothy L.
4 Gross, Benedict Hyman
4 Heiermann, Volker
4 Herb, Rebecca A.
4 Hiraga, Kaoru
4 Kaplan, Eyal
4 Kim, Yeansu
4 Kret, Arno
4 Labesse, Jean-Pierre
4 Lemaire, Bertrand
4 MacPherson, Robert Duncan
4 Mao, Zhengyu
4 Morel, Sophie
4 Newton, James
4 Prasad, Dipendra
4 Ramakrishnan, Dinakar
4 Roy, Manami
4 Tadić, Marko
4 Troitskiĭ, Evgeniĭ Vadimovich
4 Virdol, Cristian
4 Warner, Garth
...and 491 more Authors
all top 5

Cited in 133 Serials

52 Duke Mathematical Journal
48 Journal of Number Theory
40 Compositio Mathematica
36 Inventiones Mathematicae
32 Israel Journal of Mathematics
31 Manuscripta Mathematica
31 Transactions of the American Mathematical Society
30 Journal of the Institute of Mathematics of Jussieu
27 Mathematische Annalen
25 Mathematische Zeitschrift
24 Representation Theory
21 Journal of the American Mathematical Society
20 Journal für die Reine und Angewandte Mathematik
19 Advances in Mathematics
19 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
19 Proceedings of the American Mathematical Society
17 Journal of Functional Analysis
16 Annals of Mathematics. Second Series
15 Annales de l’Institut Fourier
14 Memoirs of the American Mathematical Society
13 Pacific Journal of Mathematics
13 Bulletin of the American Mathematical Society. New Series
12 Publications Mathématiques
12 Journal of the European Mathematical Society (JEMS)
11 Forum Mathematicum
10 Journal of Algebra
9 Selecta Mathematica. New Series
9 International Journal of Number Theory
9 Algebra & Number Theory
8 Documenta Mathematica
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Acta Mathematica
7 Nagoya Mathematical Journal
7 Science China. Mathematics
6 Journal of the Ramanujan Mathematical Society
6 Geometric and Functional Analysis. GAFA
6 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti
5 Bulletin de la Société Mathématique de France
5 Acta Mathematica Sinica. English Series
4 Journal d’Analyse Mathématique
4 Acta Mathematica Vietnamica
4 American Journal of Mathematics
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Journal de Théorie des Nombres de Bordeaux
4 Journal of Lie Theory
4 The Ramanujan Journal
4 Oberwolfach Reports
4 Japanese Journal of Mathematics. 3rd Series
4 Journal de l’École Polytechnique – Mathématiques
3 Acta Arithmetica
3 Canadian Journal of Mathematics
3 Journal of the London Mathematical Society. Second Series
3 Journal of Soviet Mathematics
3 Monatshefte für Mathematik
3 Proceedings of the Japan Academy. Series A
3 Annals of Global Analysis and Geometry
3 Mémoires de la Société Mathématique de France. Nouvelle Série
3 Experimental Mathematics
3 Kyoto Journal of Mathematics
3 Forum of Mathematics, Pi
3 Annales Mathématiques du Québec
3 Research in the Mathematical Sciences
2 Journal of Mathematical Analysis and Applications
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Geometriae Dedicata
2 Journal of the Mathematical Society of Japan
2 Mathematische Nachrichten
2 Michigan Mathematical Journal
2 Proceedings of the London Mathematical Society. Third Series
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Tôhoku Mathematical Journal. Second Series
2 Chinese Annals of Mathematics. Series B
2 Science in China. Series A
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Proceedings of the National Academy of Sciences of the United States of America
2 The Journal of Fourier Analysis and Applications
2 Groups, Geometry, and Dynamics
2 Forum of Mathematics, Sigma
2 Research in Number Theory
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Letters in Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Arkiv för Matematik
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Bulletin of the London Mathematical Society
1 Functional Analysis and its Applications
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal of the Korean Mathematical Society
1 Journal of Pure and Applied Algebra
1 Mathematika
...and 33 more Serials
all top 5

Cited in 39 Fields

689 Number theory (11-XX)
535 Topological groups, Lie groups (22-XX)
87 Algebraic geometry (14-XX)
86 Group theory and generalizations (20-XX)
44 Abstract harmonic analysis (43-XX)
25 Global analysis, analysis on manifolds (58-XX)
13 Differential geometry (53-XX)
12 Nonassociative rings and algebras (17-XX)
12 Functional analysis (46-XX)
11 Several complex variables and analytic spaces (32-XX)
9 Dynamical systems and ergodic theory (37-XX)
8 Algebraic topology (55-XX)
6 General and overarching topics; collections (00-XX)
6 Field theory and polynomials (12-XX)
6 \(K\)-theory (19-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Convex and discrete geometry (52-XX)
6 Manifolds and cell complexes (57-XX)
4 History and biography (01-XX)
4 Special functions (33-XX)
4 Operator theory (47-XX)
4 Probability theory and stochastic processes (60-XX)
4 Quantum theory (81-XX)
3 Functions of a complex variable (30-XX)
2 Combinatorics (05-XX)
2 Associative rings and algebras (16-XX)
2 Category theory; homological algebra (18-XX)
2 Integral transforms, operational calculus (44-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Partial differential equations (35-XX)
1 Approximations and expansions (41-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Mechanics of particles and systems (70-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.