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Guillemin, Victor W.

Author ID: guillemin.victor-w Recent zbMATH articles by "Guillemin, Victor W."
Published as: Guillemin, Victor; Guillemin, V.; Guillemin, Victor W.; Guillemin, V. W.; Guillemin, Victor L.
Homepage: https://math.mit.edu/~vwg/
External Links: MGP · Wikidata · GND · IdRef · theses.fr
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Co-Authors

51 single-authored
55 Sternberg, Shlomo
23 Uribe, Alejandro
13 Wang, Zuoqin
13 Zara, Catalin
10 Miranda, Eva
8 Burns, Daniel M. jun.
8 Weitsman, Jonathan
7 Lerman, Eugene M.
6 Pires, Ana Rita
5 Sena-Dias, Rosa
4 Cannas da Silva, Ana
4 Dryden, Emily B.
4 Ginzburg, Viktor L’vovich
4 Golubitsky, Martin A.
4 Holm, Tara S.
4 Karshon, Yael
4 Kostant, Bertram
4 Sabatini, Silvia
4 Sjamaar, Reyer
3 Colin de Verdière, Yves
3 Duistermaat, Johannes Jisse
3 Gel’fand, Israil’ Moiseevich
3 Gindikin, Simon Grigorevich
3 Kazhdan, David
3 Kirillov, Alexandre Aleksandrovich
3 Melrose, Richard Burt
3 Okikiolu, Kate
3 Pollack, Alan S.
3 Quillen, Daniel Gray
3 Schaeffer, David G.
3 Scott, Geoffrey
3 Weinstein, Alan David
2 Adams, Malcolm R.
2 Boutet de Monvel, Louis
2 Bryant, Robert L.
2 Jerison, David S.
2 Paul, Thierry
2 Prato, Elisa
2 Rassart, Etienne
2 Singer, Isadore Manuel
2 Sjöstrand, Johannes
2 Stenzel, Matthew B.
1 Atiyah, Michael Francis
1 Bernhard, James A.
1 Billey, Sara C.
1 Biss, Daniel K.
1 Blum, Lenore
1 Bolker, Ethan D.
1 Brüning, Jochen
1 Brylinski, Jean-Luc
1 Brylinski, Ranee Kathryn
1 Cheeger, Jeff
1 Chuah, Meng-Kiat
1 Connes, Alain
1 Cushman, Richard H.
1 Donnelly, Harold
1 Ebin, David G.
1 Ehrenpreis, Leon
1 Françoise, Jean-Pierre
1 Friedlander, Leonid
1 Griffiths, Phillip Augustus
1 Haine, Peter J.
1 Heckman, Gert
1 Helgason, Sigurdur
1 Hezari, Hamid
1 Hingston, Nancy
1 Jeffrey, Lisa Claire
1 Kac, Victor
1 Kalkman, Jaap
1 Kashiwara, Masaki
1 Kawai, Takahiro
1 Kogan, Mikhail N.
1 Kolk, Johan A. C.
1 Kuranishi, Masatake
1 Legendre, Eveline
1 Meinrenken, Eckhard
1 Nirenberg, Louis
1 Palais, Richard S.
1 Pelayo, Alvaro
1 Puppe, Volker
1 Ringel, Claus Michael
1 Rossi, Hugo
1 Segal, Graeme B.
1 Shnider, Steven
1 Simons, James
1 Singer, Elliot
1 Singer, Natasha
1 Souza, Regina
1 Stanton, Nancy K.
1 Stasheff, James D.
1 Stroock, Daniel W.
1 Tolman, Susan
1 Uhlmann, Gunther Alberto
1 Van den Ban, Erik Peter
1 Vergne, Michèle
1 Vũ Ngọc, San
1 Wells, Raymond O. jun.
1 Woodward, Christopher T.
1 Wu, Siye
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Serials

21 Advances in Mathematics
17 Journal of Differential Geometry
9 IMRN. International Mathematics Research Notices
7 Journal of Functional Analysis
7 Proceedings of the National Academy of Sciences of the United States of America
7 Mathematical Research Letters
6 Duke Mathematical Journal
6 Inventiones Mathematicae
6 Bulletin of the American Mathematical Society
5 Letters in Mathematical Physics
5 Transactions of the American Mathematical Society
4 Annals of Global Analysis and Geometry
3 American Journal of Mathematics
3 Annals of Mathematics Studies
2 Communications in Mathematical Physics
2 Inverse Problems
2 Journal d’Analyse Mathématique
2 Annales de l’Institut Fourier
2 Topology
2 Asymptotic Analysis
2 Annals of Physics
2 Bulletin of the American Mathematical Society. New Series
2 Notices of the American Mathematical Society
2 Indagationes Mathematicae. New Series
2 Journal of Algebraic Combinatorics
2 Transformation Groups
2 Pure and Applied Mathematics Quarterly
2 Graduate Texts in Mathematics
2 Progress in Mathematics
1 Communications on Pure and Applied Mathematics
1 Hadronic Journal
1 Journal of Geometry and Physics
1 Integral Equations and Operator Theory
1 Journal of Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Ergodic Theory and Dynamical Systems
1 Journal of the American Mathematical Society
1 Geometric and Functional Analysis. GAFA
1 Communications in Partial Differential Equations
1 Communications in Analysis and Geometry
1 The New York Journal of Mathematics
1 The Asian Journal of Mathematics
1 Annals of Mathematics. Second Series
1 Acta Mathematica Sinica. English Series
1 Nieuw Archief voor Wiskunde. Vijfde Serie
1 Bulletin of the Brazilian Mathematical Society. New Series
1 The Journal of Symplectic Geometry
1 Journal of the Institute of Mathematics of Jussieu
1 Oberwolfach Reports
1 Colloquium Publications. American Mathematical Society
1 Contemporary Mathematics
1 CRM Monograph Series
1 Mathematical Surveys and Monographs
1 Aportaciones Matematicas. Textos
1 Journal of Spectral Theory
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Mathematical Surveys
1 Contemporary Mathematicians
1 Springer Collected Works in Mathematics
1 Advances in Mathematics. Supplementary Studies

Publications by Year

Citations contained in zbMATH Open

206 Publications have been cited 6,346 times in 4,599 Documents Cited by Year
Stable mappings and their singularities. Zbl 0294.58004
Golubitsky, M.; Guillemin, V.
698
1973
Differential topology. Zbl 0361.57001
Guillemin, Victor; Pollack, Alan
430
1974
The spectrum of positive elliptic operators and periodic bicharacteristics. Zbl 0307.35071
Duistermaat, J. J.; Guillemin, V. W.
366
1975
Symplectic techniques in physics. Zbl 0576.58012
Guillemin, Victor; Sternberg, Shlomo
322
1984
Convexity properties of the moment mapping. Zbl 0503.58017
Guillemin, V.; Sternberg, S.
285
1982
Geometric asymptotics. Zbl 0364.53011
Guillemin, Victor; Sternberg, Shlomo
258
1977
Geometric quantization and multiplicities of group representations. Zbl 0503.58018
Guillemin, V.; Sternberg, S.
245
1982
The spectral theory of Toeplitz operators. Zbl 0469.47021
Boutet de Monvel, L.; Guillemin, V.
190
1981
A new proof of Weyl’s formula on the asymptotic distribution of eigenvalues. Zbl 0559.58025
Guillemin, Victor
128
1985
Moment maps, cobordisms, and Hamiltonian group actions. Zbl 1197.53002
Guillemin, Victor; Ginzburg, Viktor; Karshon, Yael
127
2002
Supersymmetry and equivariant de Rham theory. With reprint of two seminal notes by Henri Cartan. Zbl 0934.55007
Guillemin, Victor W.; Sternberg, Shlomo
126
1999
Kaehler structures on toric varieties. Zbl 0813.53042
Guillemin, Victor
125
1994
An algebraic model of transitive differential geometry. Zbl 0121.38801
Guillemin, Victor W.; Sternberg, Shlomo
120
1964
Symplectic techniques in physics. Reprinted with corrections. Zbl 0734.58005
Guillemin, Victor; Sternberg, Shlomo
113
1990
Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces. Zbl 0828.58001
Guillemin, Victor
95
1994
Some inverse spectral results for negatively curved 2-manifolds. Zbl 0465.58027
Guillemin, Victor; Kazhdan, David
93
1980
The Gelfand-Cetlin system and quantization of the complex flag manifolds. Zbl 0522.58021
Guillemin, V.; Sternberg, S.
83
1983
Differential topology. Reprint of the 1974 original. Zbl 1420.57001
Guillemin, Victor; Pollack, Alan
75
2010
Symplectic fibrations and multiplicity diagrams. Zbl 0870.58023
Guillemin, Victor; Lerman, Eugene; Sternberg, Shlomo
74
1996
Oscillatory integrals with singular symbols. Zbl 0462.58030
Guillemin, V.; Uhlmann, G.
67
1981
Symplectic and Poisson geometry on \( b\)-manifolds. Zbl 1296.53159
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita
67
2014
Grauert tubes and the homogeneous Monge-Ampère equation. Zbl 0746.32005
Guillemin, Victor; Stenzel, Matthew
63
1991
The moment map and collective motion. Zbl 0453.58015
Guillemin, Victor; Sternberg, Shlomo
60
1980
Some problems in integral geometry and some related problems in micro- local analysis. Zbl 0446.58019
Guillemin, Victor; Sternberg, Shlomo
57
1979
Birational equivalence in the symplectic category. Zbl 0683.53033
Guillemin, V.; Sternberg, S.
53
1989
The Radon transform on Zoll surfaces. Zbl 0353.53027
Guillemin, Victor
48
1976
Semi-classical analysis. Zbl 1298.58001
Guillemin, Victor; Sternberg, Shlomo
48
2013
Convexity properties of the moment mapping. II. Zbl 0561.58015
Guillemin, V.; Sternberg, S.
45
1984
Toeplitz operators in \(n\)-dimensions. Zbl 0561.47025
Guillemin, Victor
44
1984
Homogeneous quantization and multiplicities of group representations. Zbl 0733.58021
Guillemin, V.; Sternberg, S.
43
1982
The integrability problem for G-structures. Zbl 0178.55702
Guillemin, Victor W.
42
1965
The Poisson summation formula for manifolds with boundary. Zbl 0421.35082
Guillemin, Victor; Melrose, Richard
42
1979
Multiplicity-free spaces. Zbl 0548.58017
Guillemin, Victor; Sternberg, Shlomo
38
1984
Codimension one symplectic foliations and regular Poisson structures. Zbl 1244.53093
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita
37
2011
Sojourn times and asymptotic properties of the scattering matrix. Zbl 0381.35064
Guillemin, V.
36
1977
Some spectral results for the Laplace operator with potential on the n- sphere. Zbl 0433.35052
Guillemin, Victor
34
1978
Remarks on a paper of Hermann. Zbl 0155.05701
Guillemin, Victor W.; Sternberg, Shlomo
33
1968
1-skeleta, Betti numbers, and equivariant cohomology. Zbl 1020.57013
Guillemin, V.; Zara, C.
33
2001
Lectures on spectral theory of elliptic operators. Zbl 0463.58024
Guillemin, Victor
32
1977
Toric actions on \(b\)-symplectic manifolds. Zbl 1333.53115
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita; Scott, Geoffrey
32
2015
On collective complete integrability according to the method of Thimm. Zbl 0511.58024
Guillemin, Victor; Sternberg, Shlomo
30
1984
Deformation theory of pseudogroup structures. Zbl 0169.53001
Guillemin, Victor W.; Sternberg, Shlomo
30
1966
A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras. Zbl 0183.26102
Guillemin, Victor W.
30
1968
A GKM description of the equivariant cohomology ring of a homogeneous space. Zbl 1096.53050
Guillemin, V.; Holm, T.; Zara, C.
30
2006
The Laplace operator on the \(n\)th tensor power of a line bundle: Eigenvalues which are uniformly bounded in n. Zbl 0649.53026
Guillemin, V.; Uribe, A.
29
1988
Star products on compact pre-quantizable symplectic manifolds. Zbl 0842.58041
Guillemin, Victor
29
1995
Infinite dimensional primitive Lie algebras. Zbl 0223.17007
Guillemin, Victor
29
1970
Cosmology in \((2+1)\)-dimensions, cyclic models, and deformations of \(M_{2,1}\). Zbl 0697.53003
Guillemin, Victor
28
1989
Band asymptotics in two dimensions. Zbl 0478.58029
Guillemin, Victor
28
1981
A normal form for the moment map. Zbl 0548.58011
Guillemin, Victor; Sternberg, Shlomo
28
1984
Circular symmetry and the trace formula. Zbl 0686.58040
Guillemin, V.; Uribe, A.
27
1989
Variations on a theme by Kepler. Zbl 0724.70006
Guillemin, Victor; Sternberg, Shlomo
26
1990
Grauert tubes and the homogeneous Monge-Ampère equation. II. Zbl 0789.32010
Guillemin, Victor; Stenzel, Matthew
26
1992
Some spectral results on rank one symmetric spaces. Zbl 0441.58012
Guillemin, V.
26
1978
Wave-trace invariants. Zbl 0858.58051
Guillemin, Victor
25
1996
Equivariant de Rham theory and graphs. Zbl 0971.58001
Guillemin, V.; Zara, C.
23
1999
Residue traces for certain algebras of Fourier integral operators. Zbl 0791.35162
Guillemin, V.
22
1993
The integrability of characteristics. Zbl 0203.33002
Guillemin, V. W.; Quillen, D.; Sternberg, S.
20
1970
Gauged Lagrangian distributions. Zbl 0803.58052
Guillemin, Victor
19
1993
Symplectic implosion. Zbl 1015.53054
Guillemin, Victor; Jeffrey, Lisa; Sjamaar, Reyer
19
2002
On the Kostant multiplicity formula. Zbl 0713.58013
Guillemin, V.; Lerman, E.; Sternberg, S.
18
1988
On a certain class of Fuchsian partial differential equations. Zbl 0356.35080
Guillemin, Victor; Schaeffer, David
17
1977
Reduction and the trace formula. Zbl 0721.58050
Guillemin, Victor; Uribe, Alejandro
17
1990
The metaplectic representation, Weyl operators and spectral theory. Zbl 0469.58017
Guillemin, V.; Sternberg, S.
16
1981
The mod 2 cohomology of fixed point sets of anti-symplectic involutions. Zbl 1069.53058
Biss, Daniel; Guillemin, Victor W.; Holm, Tara S.
16
2004
Convexity properties of Hamiltonian group actions. Zbl 1084.53069
Guillemin, Victor; Sjamaar, Reyer
16
2005
Contact equivalence for Lagrangian manifolds. Zbl 0295.57018
Golubitsky, M.; Guillemin, V.
16
1975
Heckman, Kostant, and Steinberg formulas for symplectic manifolds. Zbl 0718.58027
Guillemin, Victor; Prato, Elisa
16
1990
On some results of Gelfand in integral geometry. Zbl 0576.58028
Guillemin, Victor
15
1985
Some inverse spectral results for negatively curved n-manifolds. Zbl 0456.58031
Guillemin, Victor; Kazhdan, David
15
1980
Desingularizing \(b^m\)-symplectic structures. Zbl 1430.53089
Guillemin, Victor; Miranda, Eva; Weitsman, Jonathan
15
2019
Riemann sums over polytopes. Zbl 1143.52011
Guillemin, Victor; Sternberg, Shlomo
14
2007
On the cohomology of certain dynamical systems. Zbl 0498.58018
Guillemin, Victor; Kazhdan, David
14
1980
The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology. Zbl 0837.57028
Guillemin, Victor; Kalkman, Jaap
14
1996
On the unfolding of folded symplectic structures. Zbl 0984.53036
Cannas da Silva, Ana; Guillemin, Victor; Woodward, Christopher
13
2000
Some algebraic results concerning the characteristics of overdetermined partial differential equations. Zbl 0162.40601
Guillemin, Victor W.
13
1968
Riemann-Roch for toric orbifolds. Zbl 0932.37039
Guillemin, Victor
13
1997
A semi-classical inverse problem. I: Taylor expansions. Zbl 1258.34036
Colin de Verdière, Yves; Guillemin, Victor
12
2011
Reduced phase spaces and Riemann-Roch. Zbl 0869.58017
Guillemin, Victor
12
1994
Hardy functions and the inverse spectral method. Zbl 0567.35073
Guillemin, V.; Uribe, A.
12
1983
A vector partition function for the multiplicities of \(\mathfrak{sl}_k\mathbb C\). Zbl 1116.17005
Billey, Sara; Guillemin, Victor; Rassart, Etienne
12
2004
Clustering theorems with twisted spectra. Zbl 0591.58031
Guillemin, Victor; Uribe, Alejandro
12
1986
Lectures on spectral theory of elliptic operators. Zbl 0447.58033
Guillemin, Victor
12
1977
A cohomological invariant of discrete dynamical systems. Zbl 0482.58032
Guillemin, Victor; Melrose, Richard
11
1981
The classification of the complex primitive infinite pseudogroups. Zbl 0192.12702
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
11
1966
The spectrum of positive elliptic operators and periodic geodesics. Zbl 0322.35071
Duistermaat, J. J.; Guillemin, V. W.
11
1975
Stable mappings and their singularities. 2nd corr. printing. Zbl 0434.58001
Golubitsky, M.; Guillemin, V.
11
1980
Some inverse spectral results for semi-classical Schrödinger operators. Zbl 1138.35006
Guillemin, Victor; Uribe, Alejandro
10
2007
Spectral theory on \(S^2\): some open questions. Zbl 0479.58020
Guillemin, Victor
10
1981
Symplectic reduction and Riemann-Roch for circle actions. Zbl 0839.58026
Duistermaat, Hans; Guillemin, Victor; Meinrenken, Eckhard; Wu, Siye
10
1995
Convexity for Hamiltonian torus actions on \(b\)-symplectic manifolds. Zbl 1390.53094
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita; Scott, Geoffrey
10
2017
The classification of the irreducible complex algebras of infinite types. Zbl 0153.05903
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
10
1967
Potential functions and actions of tori on Kähler manifolds. Zbl 1073.53113
Burns, D.; Guillemin, V.
10
2004
Inverse spectral results on two-dimensional tori. Zbl 0702.58075
Guillemin, V.
10
1990
On the period spectrum of a symplectic mapping. Zbl 0739.58020
Francoise, J. P.; Guillemin, V.
10
1991
An inverse spectral result for elliptical regions of \(\mathbb{R}^2\). Zbl 0415.35062
Guillemin, Victor; Melrose, Richard
10
1979
Stable mappings and their singularities. (Ustojchivye otobrazheniya i ikh osobennosti.) Transl. from the English by A. G. Kushnirenko. Ed. by V. I. Arnol’d. Zbl 0429.58004
Golubitsky, M.; Guillemin, V.
10
1977
On the equations of motion of a classical particle in a Yang-Mills field and the principle of general covariance. Zbl 0449.53051
Guillemin, Victor; Sternberg, Shlomo
10
1978
Some classical theorems in spectral theory revisited. Zbl 0452.35093
Guillemin, Victor
10
1979
On geometric quantization of \(b\)-symplectic manifolds. Zbl 1393.53089
Guillemin, Victor W.; Miranda, Eva; Weitsman, Jonathan
10
2018
Integral representations of isotropic semiclassical functions and applications. Zbl 1487.58026
Guillemin, Victor W.; Uribe, Alejandro; Wang, Zuoqin
1
2022
On geometric quantization of \(b^m\)-symplectic manifolds. Zbl 1465.81057
Guillemin, Victor W.; Miranda, Eva; Weitsman, Jonathan
2
2021
Desingularizing \(b^m\)-symplectic structures. Zbl 1430.53089
Guillemin, Victor; Miranda, Eva; Weitsman, Jonathan
15
2019
Differential forms. Zbl 1418.58001
Guillemin, Victor; Haine, Peter
2
2019
On geometric quantization of \(b\)-symplectic manifolds. Zbl 1393.53089
Guillemin, Victor W.; Miranda, Eva; Weitsman, Jonathan
10
2018
Convexity of the moment map image for torus actions on \(b^m\)-symplectic manifolds. Zbl 1407.53091
Guillemin, Victor W.; Miranda, Eva; Weitsman, Jonathan
4
2018
Convexity for Hamiltonian torus actions on \(b\)-symplectic manifolds. Zbl 1390.53094
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita; Scott, Geoffrey
10
2017
Singularities of the wave trace for the Friedlander model. Zbl 1388.35035
Colin de Verdière, Yves; Guillemin, Victor; Jerison, David
5
2017
Semiclassical states associated with isotropic submanifolds of phase space. Zbl 1362.58014
Guillemin, V.; Uribe, A.; Wang, Z.
7
2016
Semi-classical weights and equivariant spectral theory. Zbl 1347.58006
Dryden, Emily B.; Guillemin, Victor; Sena-Dias, Rosa
3
2016
The generalized Legendre transform and its applications to inverse spectral problems. Zbl 1337.35102
Guillemin, Victor; Wang, Zuoqin
2
2016
Toric actions on \(b\)-symplectic manifolds. Zbl 1333.53115
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita; Scott, Geoffrey
32
2015
Canonical forms for perturbations of the harmonic oscillator. Zbl 1315.37037
Guillemin, V.; Uribe, A.; Wang, Z.
1
2015
Symplectic and Poisson geometry on \( b\)-manifolds. Zbl 1296.53159
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita
67
2014
Simple spectrum and Rayleigh quotients. Zbl 1351.58012
Guillemin, Victor; Legendre, Eveline; Sena-Dias, Rosa
4
2014
Polynomial assignments. Zbl 1307.53069
Guillemin, Victor; Sabatini, Silvia; Zara, Catalin
1
2014
Semi-classical analysis. Zbl 1298.58001
Guillemin, Victor; Sternberg, Shlomo
48
2013
Balanced fiber bundles and GKM theory. Zbl 1329.55005
Guillemin, Victor; Sabatini, Silvia; Zara, Catalin
3
2013
Equivariant \(K\)-theory of GKM bundles. Zbl 1262.55007
Guillemin, Victor; Sabatini, Silvia; Zara, Catalin
1
2013
Cohomology of GKM fiber bundles. Zbl 1233.57021
Guillemin, Victor; Sabatini, Silvia; Zara, Catalin
6
2012
Band invariants for perturbations of the harmonic oscillator. Zbl 1248.35134
Guillemin, V.; Uribe, A.; Wang, Z.
5
2012
Hearing Delzant polytopes from the equivariant spectrum. Zbl 1244.58011
Dryden, Emily B.; Guillemin, Victor; Sena-Dias, Rosa
5
2012
Semiclassical spectral invariants for Schrödinger operators. Zbl 1273.35198
Guillemin, Victor; Wang, Zuoqin
4
2012
Equivariant inverse spectral theory and toric orbifolds. Zbl 1253.58014
Dryden, Emily B.; Guillemin, Victor; Sena-Dias, Rosa
4
2012
A Fulling-Kuchment theorem for the 1D harmonic oscillator. Zbl 1238.35073
Guillemin, Victor; Hezari, Hamid
1
2012
Equivariant inverse spectral problems. Zbl 1327.58030
Dryden, Emily B.; Guillemin, Victor; Sena-Dias, Rosa
1
2012
A semiclassical heat trace expansion for the perturbed harmonic oscillator. Zbl 1317.35159
Guillemin, V.; Uribe, A.; Wang, Zuo-qin
1
2012
Codimension one symplectic foliations and regular Poisson structures. Zbl 1244.53093
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita
37
2011
A semi-classical inverse problem. I: Taylor expansions. Zbl 1258.34036
Colin de Verdière, Yves; Guillemin, Victor
12
2011
Symplectic origami. Zbl 1236.53062
Cannas da Silva, A.; Guillemin, V.; Pires, A. R.
9
2011
The Tian-Yau-Zelditch theorem and Toeplitz operators. Zbl 1226.32009
Burns, Daniel; Guillemin, Victor
2
2011
Remembering Johannes J. Duistermaat (1942–2010). Zbl 1225.01067
Atiyah, Michael; Cushman, Richard; Heckman, Gert; van den Ban, Erik; Kolk, Johan; Nirenberg, Louis; Sjamaar, Reyer; Sjöstrand, Johannes
2
2011
Differential topology. Reprint of the 1974 original. Zbl 1420.57001
Guillemin, Victor; Pollack, Alan
75
2010
Some remarks about semiclassical trace invariants and quantum normal forms. Zbl 1213.58021
Guillemin, Victor; Paul, Thierry
8
2010
Stability functions. Zbl 1186.53101
Burns, Daniel; Guillemin, Victor; Wang, Zuoqin
7
2010
The spectral density function of a toric variety. Zbl 1228.58016
Burns, D.; Guillemin, V.; Uribe, A.
3
2010
Geodesics on weighted projective spaces. Zbl 1176.58014
Guillemin, V.; Uribe, A.; Wang, Z.
8
2009
Symplectic fibrations and multiplicity diagrams. Reprint of the hardback edition 1996. Zbl 1166.37024
Guillemin, Victor; Lerman, Eugene; Sternberg, Shlomo
4
2009
Kähler metrics on singular toric varieties. Zbl 1157.32019
Burns, Dan; Guillemin, Victor; Lerman, Eugene
9
2008
Determinants of zeroth order operators. Zbl 1140.58017
Friedlander, Leonid; Guillemin, Victor
4
2008
The Mellin transform and spectral properties of toric varieties. Zbl 1166.14302
Guillemin, Victor; Wang, Zuoqin
2
2008
Some Riemann sums are better than others. Zbl 1173.26307
Guillemin, Victor W.; Stroock, Daniel W.
1
2008
Riemann sums over polytopes. Zbl 1143.52011
Guillemin, Victor; Sternberg, Shlomo
14
2007
Some inverse spectral results for semi-classical Schrödinger operators. Zbl 1138.35006
Guillemin, Victor; Uribe, Alejandro
10
2007
“Bottom of the well” semi-classical trace invariants. Zbl 1140.58007
Guillemin, V.; Paul, T.; Uribe, A.
7
2007
A GKM description of the equivariant cohomology ring of a homogeneous space. Zbl 1096.53050
Guillemin, V.; Holm, T.; Zara, C.
30
2006
Convexity theorems for varieties invariant under a Borel subgroup. Zbl 1107.53055
Guillemin, Victor; Sjamaar, Reyer
4
2006
The Ehrhart function for symbols. Zbl 1132.52019
Guillemin, Victor W.; Sternberg, Shlomo; Weitsman, Jonathan
3
2006
Convexity properties of Hamiltonian group actions. Zbl 1084.53069
Guillemin, Victor; Sjamaar, Reyer
16
2005
The moment map revisited. Zbl 1091.53054
Guillemin, Victor; Sternberg, Shlomo
7
2005
Toric symplectic singular spaces. I: Isolated singularities. Zbl 1120.53051
Burns, Daniel M.; Guillemin, Victor W.; Lerman, Eugene M.
2
2005
The mod 2 cohomology of fixed point sets of anti-symplectic involutions. Zbl 1069.53058
Biss, Daniel; Guillemin, Victor W.; Holm, Tara S.
16
2004
A vector partition function for the multiplicities of \(\mathfrak{sl}_k\mathbb C\). Zbl 1116.17005
Billey, Sara; Guillemin, Victor; Rassart, Etienne
12
2004
Potential functions and actions of tori on Kähler manifolds. Zbl 1073.53113
Burns, D.; Guillemin, V.
10
2004
GKM theory for torus actions with nonisolated fixed points. Zbl 1138.53315
Guillemin, Victor; Holm, Tara S.
9
2004
Signature quantization. Zbl 1066.53139
Guillemin, Victor; Sternberg, Shlomo; Weitsman, Jonathan
2
2004
Morse theory on Hamiltonian \(G\)-spaces and equivariant \(K\)-theory. Zbl 1071.53048
Guillemin, Victor; Kogan, Mikhail
2
2004
Signature quantization and representations of compact Lie groups. Zbl 1063.53094
Guillemin, Victor; Rassart, Etienne
2
2004
The existence of generating families for the cohomology ring of a graph. Zbl 1020.57014
Guillemin, Victor; Zara, Catalin
7
2003
Signature quantization. Zbl 1063.53095
Guillemin, Victor; Sternberg, Shlomo; Weitsman, Jonathan
1
2003
Moment maps, cobordisms, and Hamiltonian group actions. Zbl 1197.53002
Guillemin, Victor; Ginzburg, Viktor; Karshon, Yael
127
2002
Symplectic implosion. Zbl 1015.53054
Guillemin, Victor; Jeffrey, Lisa; Sjamaar, Reyer
19
2002
Combinatorial formulas for products of Thom classes. Zbl 1009.57034
Guillemin, Victor; Zara, Catalin
5
2002
Melrose-Uhlmann projectors, the metaplectic representation and symplectic cuts. Zbl 1071.53540
Guillemin, V.; Lerman, E.
1
2002
1-skeleta, Betti numbers, and equivariant cohomology. Zbl 1020.57013
Guillemin, V.; Zara, C.
33
2001
\(G\)-actions on graphs. Zbl 1003.53058
Guillemin, V.; Zara, C.
7
2001
On the unfolding of folded symplectic structures. Zbl 0984.53036
Cannas da Silva, Ana; Guillemin, Victor; Woodward, Christopher
13
2000
Equivariant de Rham theory and graphs. Zbl 1072.55002
Guillemin, V.; Zara, C.
3
2000
Supersymmetry and equivariant de Rham theory. With reprint of two seminal notes by Henri Cartan. Zbl 0934.55007
Guillemin, Victor W.; Sternberg, Shlomo
126
1999
Equivariant de Rham theory and graphs. Zbl 0971.58001
Guillemin, V.; Zara, C.
23
1999
Assignments and abstract moment maps. Zbl 0977.53078
Ginzburg, Viktor L.; Guillemin, Victor; Karshon, Yael
4
1999
Quantization of symplectic orbifolds and group actions. Zbl 0978.53138
Canas da Silva, Ana; Guillemin, Victor
1
1999
Riemann-Roch for toric orbifolds. Zbl 0932.37039
Guillemin, Victor
13
1997
Subprincipal terms in Szegö estimates. Zbl 0881.58064
Guillemin, V.; Okikiolu, K.
3
1997
Spectral asymptotics of Toeplitz operators on Zoll manifolds. Zbl 0909.47018
Guillemin, V.; Okikiolu, K.
3
1997
Symplectic fibrations and multiplicity diagrams. Zbl 0870.58023
Guillemin, Victor; Lerman, Eugene; Sternberg, Shlomo
74
1996
Wave-trace invariants. Zbl 0858.58051
Guillemin, Victor
25
1996
The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology. Zbl 0837.57028
Guillemin, Victor; Kalkman, Jaap
14
1996
Measure theory and probability. Repr. with corr. from the Wadsworth ed. Zbl 0851.28001
Adams, Malcolm; Guillemin, Victor
8
1996
Cobordism theory and localization formulas for Hamiltonian group actions. Zbl 0863.57027
Ginzburg, Viktor; Guillemin, Victor; Karshon, Yael
7
1996
Szegö theorems for Zoll operators. Zbl 0899.47038
Guillemin, V.; Okikiolu, K.
3
1996
On the Kostant multiplicity formula for group actions with nonisolated fixed points. Zbl 0862.58048
Canas da Silva, A.; Guillemin, V.
1
1996
Star products on compact pre-quantizable symplectic manifolds. Zbl 0842.58041
Guillemin, Victor
29
1995
Symplectic reduction and Riemann-Roch for circle actions. Zbl 0839.58026
Duistermaat, Hans; Guillemin, Victor; Meinrenken, Eckhard; Wu, Siye
10
1995
The coefficients of the Duistermaat-Heckman polynomial and the cohomology ring of reduced spaces. Zbl 0869.57029
Guillemin, Victor; Sternberg, Shlomo
4
1995
Kaehler structures on toric varieties. Zbl 0813.53042
Guillemin, Victor
125
1994
Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces. Zbl 0828.58001
Guillemin, Victor
95
1994
Reduced phase spaces and Riemann-Roch. Zbl 0869.58017
Guillemin, Victor
12
1994
Mathematics past and present. Fourier integral operators. Selected classical articles by J. J. Duistermaat, V. W. Guillemin and L. Hörmander. Zbl 0791.47043
2
1994
Residue traces for certain algebras of Fourier integral operators. Zbl 0791.35162
Guillemin, V.
22
1993
Gauged Lagrangian distributions. Zbl 0803.58052
Guillemin, Victor
19
1993
Kaehler structures on \(K_ \mathbb{C}/N\). Zbl 0809.53060
Chuah, Meng-Kiat; Guillemin, Victor
4
1993
Wave-trace invariants and a theorem of Zelditch. Zbl 0798.58073
Guillemin, Victor
4
1993
On the de Haas-van Alphen effect. Zbl 0774.35063
Guillemin, V.; Uribe, A.
2
1993
Grauert tubes and the homogeneous Monge-Ampère equation. II. Zbl 0789.32010
Guillemin, Victor; Stenzel, Matthew
26
1992
The homogeneous Monge-Ampère equation on a pseudoconvex domain. Zbl 0804.35002
Guillemin, Victor
1
1992
Grauert tubes and the homogeneous Monge-Ampère equation. Zbl 0746.32005
Guillemin, Victor; Stenzel, Matthew
63
1991
On the period spectrum of a symplectic mapping. Zbl 0739.58020
Francoise, J. P.; Guillemin, V.
10
1991
Symplectic techniques in physics. Reprinted with corrections. Zbl 0734.58005
Guillemin, Victor; Sternberg, Shlomo
113
1990
Variations on a theme by Kepler. Zbl 0724.70006
Guillemin, Victor; Sternberg, Shlomo
26
1990
...and 106 more Documents
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Cited by 4,403 Authors

70 Guillemin, Victor W.
53 Zelditch, Steve
39 Miranda, Eva
33 Uhlmann, Gunther Alberto
31 Ratiu, Tudor Stefan
31 Uribe, Alejandro
28 Pelayo, Alvaro
26 Quinto, Eric Todd
26 Sternberg, Shlomo
24 Wang, Yong
24 Weinstein, Alan David
23 Paoletti, Roberto
23 Paternain, Gabriel Pedro
21 Goertsches, Oliver
18 Kordyukov, Yuri A.
18 Kruglikov, Boris S.
16 Colin de Verdière, Yves
16 Greenleaf, Allan
16 Marsden, Jerrold Eldon
16 Vũ Ngọc, San
15 Kirwan, Frances Clare
15 Ma, Xiaonan
15 Vergne, Michèle
14 Ponge, Raphaël S.
14 Saeki, Osamu
13 Jeffrey, Lisa Claire
13 Polterovich, Leonid Viktorovich
13 Romero-Fuster, María Carmen
12 Biliotti, Leonardo
12 Karshon, Yael
12 Paradan, Paul-Emile
12 Petkov, Vesselin M.
12 Wang, Jian
12 Wang, Zuoqin
12 Wunsch, Jared
12 Zworski, Maciej
11 Alekseev, Anton Yur’evich
11 Charles, Laurent
11 Chen, Bohui
11 Cho, Yunhyung
11 Felea, Raluca
11 Holm, Tara S.
11 Izumiya, Shyuichi
11 Lychagin, Valentin V.
11 Masuda, Mikiya
11 Meinrenken, Eckhard
11 Śniatycki, Jędrzej
11 Stefanov, Plamen D.
11 Stoyanov, Luchezar N.
11 Tolman, Susan
11 Weitsman, Jonathan
10 Chuah, Meng-Kiat
10 de Gosson, Maurice Alexis
10 Duistermaat, Johannes Jisse
10 Engliš, Miroslav
10 Hall, Brian C.
10 Ioos, Louis
10 Kirwin, William D.
10 Krishnan, Venkateswaran P.
10 Melrose, Richard Burt
10 Paul, Thierry
10 Popov, Georgi St.
10 Prástaro, Agostino
10 Prato, Elisa
10 Sabatini, Silvia
10 Schrohe, Elmar
10 Sjamaar, Reyer
10 Sjöstrand, Johannes
10 Spera, Mauro
10 Taylor, Michael Eugene
10 Tchoń, Krzysztof
10 Toth, John Andrew
10 Winternitz, Pavel
9 Apostolov, Vestislav
9 Bloch, Anthony Michael
9 Dancer, Andrew S.
9 Futorny, Vyacheslav M.
9 Ginzburg, Viktor L’vovich
9 Gotay, Mark J.
9 Hezari, Hamid
9 Kac, Victor
9 Kaloshin, Vadim Yu.
9 Kappeler, Thomas
9 Legendre, Eveline
9 Li, An-Min
9 Marinescu, George
9 Monard, François
9 Oh, Yong-Geun
9 Ortega, Juan-Pablo
9 Sheng, Li
9 Vasy, András
9 Woodward, Christopher T.
8 Adams, Malcolm R.
8 Barron, Tatyana
8 Battaglia, Fiammetta
8 de la Llave, Rafael
8 Dyatlov, Semyon
8 Françoise, Jean-Pierre
8 Furi, Massimo
8 Galkowski, Jeffrey
...and 4,303 more Authors
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Cited in 521 Serials

197 Communications in Mathematical Physics
190 Journal of Geometry and Physics
170 Transactions of the American Mathematical Society
165 Advances in Mathematics
118 Journal of Functional Analysis
97 Journal of Mathematical Physics
83 Mathematische Zeitschrift
80 Annales de l’Institut Fourier
80 Inventiones Mathematicae
76 Duke Mathematical Journal
72 The Journal of Geometric Analysis
69 Proceedings of the American Mathematical Society
67 Letters in Mathematical Physics
67 Mathematische Annalen
62 Journal of Differential Equations
58 Communications in Partial Differential Equations
55 Journal of Mathematical Economics
54 Differential Geometry and its Applications
53 Annals of Global Analysis and Geometry
45 Topology and its Applications
43 Journal of Mathematical Analysis and Applications
36 Functional Analysis and its Applications
31 International Journal of Mathematics
30 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
29 Journal of Economic Theory
29 Bulletin of the American Mathematical Society. New Series
28 Journal of Soviet Mathematics
27 Journal d’Analyse Mathématique
27 Journal of the American Mathematical Society
26 Journal of Algebra
26 Physica D
26 Journal of Mathematical Sciences (New York)
24 Reports on Mathematical Physics
24 Compositio Mathematica
24 Geometriae Dedicata
23 Linear Algebra and its Applications
23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
22 Archive for Rational Mechanics and Analysis
22 Systems & Control Letters
22 International Journal of Geometric Methods in Modern Physics
21 International Journal of Theoretical Physics
21 Journal für die Reine und Angewandte Mathematik
21 Manuscripta Mathematica
21 Acta Applicandae Mathematicae
21 Transformation Groups
21 Journal of High Energy Physics
20 Reviews in Mathematical Physics
20 Annali di Matematica Pura ed Applicata. Serie Quarta
20 Ergodic Theory and Dynamical Systems
20 Geometry & Topology
20 Annales Henri Poincaré
20 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
19 Annales de l’Institut Henri Poincaré. Physique Théorique
19 Indagationes Mathematicae. New Series
19 The Journal of Fourier Analysis and Applications
19 Algebraic & Geometric Topology
18 Selecta Mathematica. New Series
18 Regular and Chaotic Dynamics
17 Israel Journal of Mathematics
17 Tôhoku Mathematical Journal. Second Series
17 Journal of Nonlinear Science
16 Memoirs of the American Mathematical Society
16 Annals of Physics
16 SIAM Journal on Mathematical Analysis
16 Journal of Geometric Mechanics
16 Journal of Pseudo-Differential Operators and Applications
15 Mathematical Proceedings of the Cambridge Philosophical Society
15 Nuclear Physics. B
15 Publications of the Research Institute for Mathematical Sciences, Kyoto University
15 Geometric and Functional Analysis. GAFA
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
14 Bulletin de la Société Mathématique de France
14 Journal of the Mathematical Society of Japan
14 Journal of Pure and Applied Algebra
14 Bulletin of the American Mathematical Society
14 Journal of Fixed Point Theory and Applications
13 Mathematical Notes
13 Acta Mathematica
13 Automatica
13 Integral Equations and Operator Theory
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Economic Theory
13 Journal of Spectral Theory
12 Advances in Applied Mathematics
12 Journal of Dynamics and Differential Equations
12 Annals of Mathematics. Second Series
12 Foundations of Computational Mathematics
12 Nonlinear Analysis. Theory, Methods & Applications
11 Pacific Journal of Mathematics
11 Proceedings of the Japan Academy. Series A
11 Journal of Physics A: Mathematical and Theoretical
11 Journal of Topology and Analysis
10 Inverse Problems
10 Nonlinearity
10 Archiv der Mathematik
10 Bulletin of the London Mathematical Society
10 Cahiers de Topologie et Géométrie Différentielle Catégoriques
10 Publications Mathématiques
10 Journal of Optimization Theory and Applications
10 Mathematische Nachrichten
...and 421 more Serials
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Cited in 62 Fields

1,665 Differential geometry (53-XX)
1,151 Global analysis, analysis on manifolds (58-XX)
804 Partial differential equations (35-XX)
713 Dynamical systems and ergodic theory (37-XX)
569 Quantum theory (81-XX)
525 Manifolds and cell complexes (57-XX)
416 Several complex variables and analytic spaces (32-XX)
403 Algebraic geometry (14-XX)
299 Topological groups, Lie groups (22-XX)
283 Operator theory (47-XX)
253 Mechanics of particles and systems (70-XX)
249 Nonassociative rings and algebras (17-XX)
187 Algebraic topology (55-XX)
179 Ordinary differential equations (34-XX)
149 Functional analysis (46-XX)
141 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
105 Convex and discrete geometry (52-XX)
103 Systems theory; control (93-XX)
102 Relativity and gravitational theory (83-XX)
97 Integral transforms, operational calculus (44-XX)
90 Numerical analysis (65-XX)
78 Group theory and generalizations (20-XX)
71 Combinatorics (05-XX)
71 Number theory (11-XX)
67 Probability theory and stochastic processes (60-XX)
65 Calculus of variations and optimal control; optimization (49-XX)
64 Linear and multilinear algebra; matrix theory (15-XX)
61 Harmonic analysis on Euclidean spaces (42-XX)
60 Fluid mechanics (76-XX)
54 Statistical mechanics, structure of matter (82-XX)
52 Associative rings and algebras (16-XX)
52 Abstract harmonic analysis (43-XX)
51 Functions of a complex variable (30-XX)
49 Computer science (68-XX)
44 Biology and other natural sciences (92-XX)
43 Commutative algebra (13-XX)
43 Optics, electromagnetic theory (78-XX)
42 \(K\)-theory (19-XX)
40 Operations research, mathematical programming (90-XX)
37 Statistics (62-XX)
37 Mechanics of deformable solids (74-XX)
35 Information and communication theory, circuits (94-XX)
32 Geometry (51-XX)
31 Category theory; homological algebra (18-XX)
31 Measure and integration (28-XX)
28 Real functions (26-XX)
27 General topology (54-XX)
21 Special functions (33-XX)
20 Approximations and expansions (41-XX)
16 General and overarching topics; collections (00-XX)
16 Geophysics (86-XX)
15 Field theory and polynomials (12-XX)
13 Difference and functional equations (39-XX)
12 History and biography (01-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
9 Potential theory (31-XX)
9 Integral equations (45-XX)
8 Mathematical logic and foundations (03-XX)
8 Astronomy and astrophysics (85-XX)
7 Sequences, series, summability (40-XX)
1 General algebraic systems (08-XX)

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