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Author ID: berline.nicole Recent zbMATH articles by "Berline, Nicole"
Published as: Berline, Nicole; Conze, Nicole; Conze, N.; Berline, N.; Conze-Berline, Nicole
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Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 1,292 times in 1,103 Documents Cited by Year
Heat kernels and Dirac operators. Zbl 0744.58001
Berline, Nicole; Getzler, Ezra; Vergne, Michèle
420
1992
Heat kernels and Dirac operators. Paperback ed. Zbl 1037.58015
Berline, Nicole; Getzler, Ezra; Vergne, Michèle
228
2004
Représentations des groupes de Lie resolubles. Zbl 0248.22012
Bernat, P.; Conze, N.; Duflo, M.; Levy-Nahas, M.; Rais, M.; Renouard, P.; Vergne, M.
106
1972
Classes caractéristiques équivariantes. Formule de localisation en cohomologie équivariante. Zbl 0521.57020
Berline, Nicole; Vergne, Michele
94
1982
Zeros d’un champ de vecteurs et classes characteristiques équivariantes. Zbl 0515.58007
Berline, Nicole; Vergne, Michele
71
1983
Sur les représentations induites des groupes semi-simples complexes. Zbl 0389.22016
Conze-Berline, Nicole; Duflo, Michel
36
1977
How to integrate a polynomial over a simplex. Zbl 1216.68120
Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle
35
2011
Algèbres d’opérateurs différentiels et quotients des algèbres enveloppantes. Zbl 0298.17012
Conze, Nicole
32
1974
The equivariant index and Kirillov’s character formula. Zbl 0604.58046
Berline, Nicole; Vergne, Michele
32
1985
Local Euler-Maclaurin formula for polytopes. Zbl 1146.52006
Berline, Nicole; Vergne, Michèle
30
2007
The equivariant index of transversally elliptic operators. (L’indice équivariant des opérateurs transversalement elliptiques.) Zbl 0883.58037
Berline, Nicole; Vergne, Michèle
28
1996
The Chern character of a transversally elliptic symbol and the equivariant index. Zbl 0847.46037
Berline, Nicole; Vergne, Michèle
25
1996
A computation of the equivariant index of the Dirac operator. Zbl 0592.58044
Berline, Nicole; Vergne, Michèle
23
1985
Ideaux primitifs dans l’algèbre enveloppante d’une algèbre de Lie semi- simple. Zbl 0246.17009
Conze, Nicole; Dixmier, Jacques
14
1972
Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra. Zbl 1255.05006
Baldoni, V.; Berline, N.; De Loera, J. A.; Köppe, M.; Vergne, M.
14
2012
Equations de Hua et noyau de Poisson. Zbl 0521.32024
Berline, Nicole; Vergne, Michele
13
1981
Fourier transforms of orbits of the coadjoint representation. Zbl 0527.22010
Berline, Nicole; Vergne, Michele
10
1983
Intermediate sums on polyhedra: computation and real Ehrhart theory. Zbl 1260.05006
Baldoni, V.; Berline, N.; Köppe, M.; Vergne, M.
10
2013
A proof of Bismut local index theorem for a family of Dirac operators. Zbl 0636.58030
Berline, Nicole; Vergne, Michèle
9
1987
Sur l’algèbre enveloppante d’une algèbre de Lie résoluble. Zbl 0202.04101
Conze, N.; Duflo, M.
9
1970
Idéaux primitifs des algèbres enveloppantes des algèbres de Lie résolubles. Zbl 0211.35801
Conze, N.; Vergne, M.
7
1971
The equivariant Todd genus of a complete toric variety, with Danilov condition. Zbl 1126.14058
Berline, Nicole; Vergne, Michèle
6
2007
Local asymptotic Euler-Maclaurin expansion for Riemann sums over a semi-rational polyhedron. Zbl 1387.52026
Berline, Nicole; Vergne, Michèle
5
2016
Espace des ideaux primitifs de l’algèbre enveloppante d’une algèbre de Lie nilpotente. Zbl 0308.17006
Conze, Nicole
5
1975
Action d’un groupe algébrique dans l’espace des ideaux primitifs d’une algèbre enveloppante. Zbl 0262.20050
Conze, Nicole
4
1973
Intermediate sums on polyhedra. II: Bidegree and Poisson formula. Zbl 1347.05005
Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle
3
2016
The equivariant Chern character and index of \(G\)-invariant operators. Zbl 0793.58032
Berline, Nicole; Vergne, Michèle
3
1993
Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope. Zbl 1162.52008
Baldoni, Velleda; Berline, Nicole; Vergne, Michèle
3
2008
On the dynamics of matrix groups and arithmetic applications. Papers from the mathematical days X-UPS, Palaiseau, France, May 9–10, 2007. (Sur la dynamique des groupes de matrices et applications arithmétiques.) Zbl 1132.11002
3
2007
Quotients primitifs des algèbres enveloppantes et algèbres d’opérateurs différentiels. Zbl 0276.17004
Conze, Nicole
2
1973
Sur certains quotients de l’algèbre enveloppante d’une algèbre de Lie semi-simple. Zbl 0364.17008
Conze-Berline, Nicole
2
1975
The Horn inequalities from a geometric point of view. Zbl 1405.22017
Berline, Nicole; Vergne, Michèle; Walter, Michael
2
2017
Equivariant index and character of an induced representation. (Indice équivariant et caractère d’une représentation induite.) Zbl 0793.58033
Berline, Nicole; Vergne, Michèle
2
1993
Analytic continuation of a parametric polytope and wall-crossing. Zbl 1303.52003
Berline, Nicole; Vergne, Michèle
2
2012
Equations de Hua et intégrales de Poisson. Zbl 0446.31007
Berline, Nicole; Vergne, Michele
1
1980
Three Ehrhart quasi-polynomials. Zbl 1419.52014
Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle
1
2019
Coefficients of Sylvester’s denumerant. Zbl 1318.05004
Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Dutra, Brandon E.; Köppe, Matthias; Vergne, Michèle
1
2015
Sur certaines représentations des algèbres de Lie nilpotentes. Zbl 0218.17007
Conze, N.
1
1971
Three Ehrhart quasi-polynomials. Zbl 1419.52014
Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle
1
2019
The Horn inequalities from a geometric point of view. Zbl 1405.22017
Berline, Nicole; Vergne, Michèle; Walter, Michael
2
2017
Local asymptotic Euler-Maclaurin expansion for Riemann sums over a semi-rational polyhedron. Zbl 1387.52026
Berline, Nicole; Vergne, Michèle
5
2016
Intermediate sums on polyhedra. II: Bidegree and Poisson formula. Zbl 1347.05005
Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle
3
2016
Coefficients of Sylvester’s denumerant. Zbl 1318.05004
Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Dutra, Brandon E.; Köppe, Matthias; Vergne, Michèle
1
2015
Intermediate sums on polyhedra: computation and real Ehrhart theory. Zbl 1260.05006
Baldoni, V.; Berline, N.; Köppe, M.; Vergne, M.
10
2013
Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra. Zbl 1255.05006
Baldoni, V.; Berline, N.; De Loera, J. A.; Köppe, M.; Vergne, M.
14
2012
Analytic continuation of a parametric polytope and wall-crossing. Zbl 1303.52003
Berline, Nicole; Vergne, Michèle
2
2012
How to integrate a polynomial over a simplex. Zbl 1216.68120
Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle
35
2011
Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope. Zbl 1162.52008
Baldoni, Velleda; Berline, Nicole; Vergne, Michèle
3
2008
Local Euler-Maclaurin formula for polytopes. Zbl 1146.52006
Berline, Nicole; Vergne, Michèle
30
2007
The equivariant Todd genus of a complete toric variety, with Danilov condition. Zbl 1126.14058
Berline, Nicole; Vergne, Michèle
6
2007
On the dynamics of matrix groups and arithmetic applications. Papers from the mathematical days X-UPS, Palaiseau, France, May 9–10, 2007. (Sur la dynamique des groupes de matrices et applications arithmétiques.) Zbl 1132.11002
3
2007
Heat kernels and Dirac operators. Paperback ed. Zbl 1037.58015
Berline, Nicole; Getzler, Ezra; Vergne, Michèle
228
2004
The equivariant index of transversally elliptic operators. (L’indice équivariant des opérateurs transversalement elliptiques.) Zbl 0883.58037
Berline, Nicole; Vergne, Michèle
28
1996
The Chern character of a transversally elliptic symbol and the equivariant index. Zbl 0847.46037
Berline, Nicole; Vergne, Michèle
25
1996
The equivariant Chern character and index of \(G\)-invariant operators. Zbl 0793.58032
Berline, Nicole; Vergne, Michèle
3
1993
Equivariant index and character of an induced representation. (Indice équivariant et caractère d’une représentation induite.) Zbl 0793.58033
Berline, Nicole; Vergne, Michèle
2
1993
Heat kernels and Dirac operators. Zbl 0744.58001
Berline, Nicole; Getzler, Ezra; Vergne, Michèle
420
1992
A proof of Bismut local index theorem for a family of Dirac operators. Zbl 0636.58030
Berline, Nicole; Vergne, Michèle
9
1987
The equivariant index and Kirillov’s character formula. Zbl 0604.58046
Berline, Nicole; Vergne, Michele
32
1985
A computation of the equivariant index of the Dirac operator. Zbl 0592.58044
Berline, Nicole; Vergne, Michèle
23
1985
Zeros d’un champ de vecteurs et classes characteristiques équivariantes. Zbl 0515.58007
Berline, Nicole; Vergne, Michele
71
1983
Fourier transforms of orbits of the coadjoint representation. Zbl 0527.22010
Berline, Nicole; Vergne, Michele
10
1983
Classes caractéristiques équivariantes. Formule de localisation en cohomologie équivariante. Zbl 0521.57020
Berline, Nicole; Vergne, Michele
94
1982
Equations de Hua et noyau de Poisson. Zbl 0521.32024
Berline, Nicole; Vergne, Michele
13
1981
Equations de Hua et intégrales de Poisson. Zbl 0446.31007
Berline, Nicole; Vergne, Michele
1
1980
Sur les représentations induites des groupes semi-simples complexes. Zbl 0389.22016
Conze-Berline, Nicole; Duflo, Michel
36
1977
Espace des ideaux primitifs de l’algèbre enveloppante d’une algèbre de Lie nilpotente. Zbl 0308.17006
Conze, Nicole
5
1975
Sur certains quotients de l’algèbre enveloppante d’une algèbre de Lie semi-simple. Zbl 0364.17008
Conze-Berline, Nicole
2
1975
Algèbres d’opérateurs différentiels et quotients des algèbres enveloppantes. Zbl 0298.17012
Conze, Nicole
32
1974
Action d’un groupe algébrique dans l’espace des ideaux primitifs d’une algèbre enveloppante. Zbl 0262.20050
Conze, Nicole
4
1973
Quotients primitifs des algèbres enveloppantes et algèbres d’opérateurs différentiels. Zbl 0276.17004
Conze, Nicole
2
1973
Représentations des groupes de Lie resolubles. Zbl 0248.22012
Bernat, P.; Conze, N.; Duflo, M.; Levy-Nahas, M.; Rais, M.; Renouard, P.; Vergne, M.
106
1972
Ideaux primitifs dans l’algèbre enveloppante d’une algèbre de Lie semi- simple. Zbl 0246.17009
Conze, Nicole; Dixmier, Jacques
14
1972
Idéaux primitifs des algèbres enveloppantes des algèbres de Lie résolubles. Zbl 0211.35801
Conze, N.; Vergne, M.
7
1971
Sur certaines représentations des algèbres de Lie nilpotentes. Zbl 0218.17007
Conze, N.
1
1971
Sur l’algèbre enveloppante d’une algèbre de Lie résoluble. Zbl 0202.04101
Conze, N.; Duflo, M.
9
1970
all top 5

Cited by 1,112 Authors

23 Bismut, Jean-Michel
22 Joseph, Anthony
22 Vergne, Michèle
18 Ma, Xiaonan
12 Braverman, Maxim
12 Ludewig, Matthias
11 Paycha, Sylvie
11 Zhang, Weiping
10 Berline, Nicole
10 Borho, Walter
10 Paradan, Paul-Emile
9 Arnal, Didier
9 Benameur, Moulay-Tahar
9 Duflo, Michel
8 Ferreiro Pérez, Roberto
8 Liu, Bo
8 Wang, Hang
7 Bunke, Ulrich
7 Ludwig, Jean
7 Mathai, Varghese
7 Piazza, Paolo
7 van Suijlekom, Walter Daniël
7 Vertman, Boris
7 Wang, Yong
6 Avramidi, Ivan G.
6 Farsi, Carla
6 Fujiwara, Hidenori
6 Hajli, Mounir
6 Ioos, Louis
6 Jeffrey, Lisa Claire
6 Liu, Fu
6 Loizides, Yiannis
6 Lott, John
6 Mickelsson, Jouko
6 Ponge, Raphaël S.
6 Rochon, Frédéric
6 Rosenberg, Steven
6 Spera, Mauro
6 Wu, Siye
6 Zhang, Bin
5 Abdelmoula, Lobna
5 Baklouti, Ali
5 Bei, Francesco
5 Cho, Yunhyung
5 Dali, Béchir
5 Godinho, Leonor
5 Gorokhovsky, Alexander
5 Guo, Li
5 Heitsch, James L.
5 Larraín-Hubach, Andrés
5 Léandre, Rémi
5 Leichtnam, Eric
5 Lesch, Matthias
5 Lipsman, Ronald L.
5 Moscovici, Henri
5 Nicolaescu, Liviu I.
5 Schick, Thomas
5 Weber, Andrzej
4 Albin, Pierre
4 Baldare, Alexandre
4 Baldoni-Silva, Maria Welleda
4 Bao, Kaihua
4 Bär, Christian
4 Castillo, Federico
4 Dai, Xianzhe
4 Elmrabty, Adnane
4 Jorgenson, Jay Alan
4 Köppe, Matthias
4 Koufany, Khalid
4 Libine, Matvei
4 Liu, Kefeng
4 Lu, Wen
4 Manchon, Dominique
4 Marinescu, George
4 Mazzeo, Rafe R.
4 Melrose, Richard Burt
4 Moeglin, Colette
4 Murthy, Sameer
4 Pedersen, Niels Vigand
4 Pestun, Vasily
4 Procesi, Claudio
4 Rentschler, Rudolf
4 Richardson, Ken V.
4 Savale, Nikhil
4 Shen, Shu
4 Tolksdorf, Jürgen
3 Abe, Hiraku
3 Alekseev, Anton Yur’evich
3 Benoist, Yves
3 Bernig, Andreas
3 Berwick-Evans, Daniel
3 Bouaziz, Yasmine
3 Buraczewski, Dariusz
3 Charbonnel, Jean-Yves
3 Currey, Bradley Norton III
3 Damek, Ewa
3 De Concini, Corrado
3 De Loera, Jesús A.
3 Deitmar, Anton
3 Driver, Bruce K.
...and 1,012 more Authors
all top 5

Cited in 228 Serials

81 Journal of Geometry and Physics
71 Journal of Functional Analysis
55 Communications in Mathematical Physics
41 Advances in Mathematics
37 Transactions of the American Mathematical Society
32 Journal of High Energy Physics
27 Journal of Algebra
23 Journal of Mathematical Physics
23 Duke Mathematical Journal
23 Mathematische Annalen
21 Annales de l’Institut Fourier
20 Inventiones Mathematicae
20 Mathematische Zeitschrift
20 Journal of Noncommutative Geometry
19 The Journal of Geometric Analysis
18 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
17 Letters in Mathematical Physics
15 Differential Geometry and its Applications
14 Bulletin de la Société Mathématique de France
13 Compositio Mathematica
13 Proceedings of the American Mathematical Society
11 Journal of the American Mathematical Society
10 International Journal of Mathematics
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Nuclear Physics. B
9 Annals of Global Analysis and Geometry
9 Geometry & Topology
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Israel Journal of Mathematics
8 Reviews in Mathematical Physics
7 Geometric and Functional Analysis. GAFA
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Bulletin of the American Mathematical Society. New Series
7 Bulletin des Sciences Mathématiques
7 Journal of Physics A: Mathematical and Theoretical
6 Transformation Groups
6 Algebraic & Geometric Topology
6 International Journal of Geometric Methods in Modern Physics
6 Science China. Mathematics
5 Journal für die Reine und Angewandte Mathematik
5 Journal of Soviet Mathematics
5 Discrete & Computational Geometry
5 Mémoires de la Société Mathématique de France. Nouvelle Série
5 Journal of the European Mathematical Society (JEMS)
4 Physics Letters. B
4 The Annals of Probability
4 Journal of Number Theory
4 Manuscripta Mathematica
4 Memoirs of the American Mathematical Society
4 Proceedings of the Japan Academy. Series A
4 Communications in Partial Differential Equations
4 Selecta Mathematica. New Series
4 Central European Journal of Mathematics
4 Journal of the Institute of Mathematics of Jussieu
3 Journal of Mathematical Analysis and Applications
3 Mathematical Notes
3 Theoretical and Mathematical Physics
3 Journal of Differential Geometry
3 Monatshefte für Mathematik
3 Results in Mathematics
3 \(K\)-Theory
3 L’Enseignement Mathématique. 2e Série
3 Expositiones Mathematicae
3 SIAM Journal on Optimization
3 Journal of Algebraic Combinatorics
3 Applied and Computational Harmonic Analysis
3 Advances in Applied Clifford Algebras
3 Journal of Lie Theory
3 Mathematical Physics, Analysis and Geometry
3 Acta Mathematica Sinica. English Series
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Journal of Topology and Analysis
3 Journal of \(K\)-Theory
3 Japanese Journal of Mathematics. 3rd Series
3 São Paulo Journal of Mathematical Sciences
2 Journal d’Analyse Mathématique
2 Rocky Mountain Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Functional Analysis and its Applications
2 Fundamenta Mathematicae
2 Geometriae Dedicata
2 Publications Mathématiques
2 Journal of Combinatorial Theory. Series A
2 Journal of the Mathematical Society of Japan
2 Mathematische Nachrichten
2 Mathematika
2 Michigan Mathematical Journal
2 Pacific Journal of Mathematics
2 Theoretical Computer Science
2 Tokyo Journal of Mathematics
2 Topology and its Applications
2 Advances in Applied Mathematics
2 Journal of Symbolic Computation
2 Probability Theory and Related Fields
2 Revista Matemática Iberoamericana
2 Computational Mechanics
2 SIAM Journal on Discrete Mathematics
2 Indagationes Mathematicae. New Series
2 Journal of Mathematical Imaging and Vision
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
...and 128 more Serials
all top 5

Cited in 56 Fields

466 Global analysis, analysis on manifolds (58-XX)
292 Differential geometry (53-XX)
192 Quantum theory (81-XX)
171 Topological groups, Lie groups (22-XX)
125 Manifolds and cell complexes (57-XX)
108 Algebraic geometry (14-XX)
107 Nonassociative rings and algebras (17-XX)
96 \(K\)-theory (19-XX)
95 Several complex variables and analytic spaces (32-XX)
89 Partial differential equations (35-XX)
78 Functional analysis (46-XX)
71 Algebraic topology (55-XX)
48 Number theory (11-XX)
48 Convex and discrete geometry (52-XX)
46 Abstract harmonic analysis (43-XX)
44 Associative rings and algebras (16-XX)
36 Operator theory (47-XX)
35 Relativity and gravitational theory (83-XX)
33 Dynamical systems and ergodic theory (37-XX)
29 Probability theory and stochastic processes (60-XX)
26 Group theory and generalizations (20-XX)
24 Combinatorics (05-XX)
18 Numerical analysis (65-XX)
15 Category theory; homological algebra (18-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Computer science (68-XX)
12 Approximations and expansions (41-XX)
10 Mechanics of particles and systems (70-XX)
10 Statistical mechanics, structure of matter (82-XX)
10 Operations research, mathematical programming (90-XX)
9 Potential theory (31-XX)
9 Statistics (62-XX)
8 Functions of a complex variable (30-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Information and communication theory, circuits (94-XX)
5 Commutative algebra (13-XX)
5 Integral transforms, operational calculus (44-XX)
4 Special functions (33-XX)
4 Geometry (51-XX)
3 Real functions (26-XX)
3 Measure and integration (28-XX)
3 Ordinary differential equations (34-XX)
3 Difference and functional equations (39-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 History and biography (01-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 General topology (54-XX)
2 Mechanics of deformable solids (74-XX)
2 Astronomy and astrophysics (85-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 Optics, electromagnetic theory (78-XX)
1 Systems theory; control (93-XX)

Citations by Year

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