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Guillemin, Victor W.

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Author ID: guillemin.victor-w Recent zbMATH articles by "Guillemin, Victor W."
Published as: Guillemin, V.; Guillemin, V. W.; Guillemin, Victor; Guillemin, Victor L.; Guillemin, Victor W.
External Links: MGP · Wikidata · GND
Documents Indexed: 203 Publications since 1963, including 28 Books
Biographic References: 1 Publication
all top 5

Co-Authors

50 single-authored
50 Sternberg, Shlomo
18 Uribe, Alejandro
9 Zara, Catalin
6 Burns, Daniel M. jun.
6 Lerman, Eugene M.
5 Wang, Zuoqin
4 Cannas da Silva, Ana
4 Ginzburg, Viktor L’vovich
4 Golubitsky, Martin A.
4 Karshon, Yael
4 Sjamaar, Reyer
3 Duistermaat, Johannes Jisse
3 Holm, Tara S.
3 Kazhdan, David A.
3 Melrose, Richard Burt
3 Okikiolu, Kate
3 Pollack, Alan S.
3 Quillen, Daniel Gray
3 Schaeffer, David G.
3 Weinstein, Alan David
3 Weitsman, Jonathan
2 Adams, Malcolm R.
2 Dryden, Emily B.
2 Paul, Thierry
2 Pires, Ana Rita
2 Prato, Elisa
2 Rassart, Etienne
2 Sabatini, Silvia
2 Sena-Dias, Rosa
2 Stenzel, Matthew B.
1 Atiyah, Michael Francis
1 Bernhard, James A.
1 Billey, Sara C.
1 Biss, Daniel K.
1 Boutet de Monvel, Louis
1 Brüning, Jochen
1 Bryant, Robert L.
1 Brylinski, Jean-Luc
1 Brylinski, Ranee Kathryn
1 Chuah, Meng-Kiat
1 Colin de Verdière, Yves
1 Cushman, Richard H.
1 Ehrenpreis, Leon
1 Françoise, Jean-Pierre
1 Friedlander, Leonid
1 Heckman, Gert
1 Helgason, Sigurdur
1 Hezari, Hamid
1 Hingston, Nancy
1 Jeffrey, Lisa C.
1 Kac, Victor G.
1 Kalkman, Jaap
1 Kashiwara, Masaki
1 Kawai, Takahiro
1 Kogan, Mikhail N.
1 Kolk, Johan A. C.
1 Kostant, Bertram
1 Kuranishi, Masatake
1 Meinrenken, Eckhard
1 Miranda, Eva
1 Nirenberg, Louis
1 Pelayo, Alvaro
1 Shnider, Steven
1 Singer, Isadore M.
1 Sjöstrand, Johannes
1 Souza, Regina
1 Stasheff, James D.
1 Stroock, Daniel W.
1 Uhlmann, Gunther Alberto
1 Van den Ban, Erik Peter
1 Vũ Ngọc, San
1 Wells, Raymond O. jun.
1 Woodward, Christopher T.
1 Wu, Siye
all top 5

Serials

17 Advances in Mathematics
17 Journal of Differential Geometry
7 Journal of Functional Analysis
7 Proceedings of the National Academy of Sciences of the United States of America
6 Duke Mathematical Journal
6 Inventiones Mathematicae
6 Mathematical Research Letters
6 Bulletin of the American Mathematical Society
5 Transactions of the American Mathematical Society
5 IMRN. International Mathematics Research Notices
4 Letters in Mathematical Physics
4 Annals of Global Analysis and Geometry
3 American Journal of Mathematics
3 Annals of Mathematics Studies
2 Communications in Mathematical Physics
2 Annales de l’Institut Fourier
2 Topology
2 Asymptotic Analysis
2 Annals of Physics
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 Inverse Problems
1 Journal d’Analyse Mathématique
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 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 Bulletin of the American Mathematical Society. New Series
1 Notices of the American Mathematical Society
1 Communications in Analysis and Geometry
1 The Asian Journal of Mathematics
1 Annals of Mathematics. Second 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 Colloquium Publications. American Mathematical Society
1 Contemporary Mathematics
1 CRM Monograph Series
1 Mathematical Surveys and Monographs
1 Aportaciones Matematicas. Textos
1 Mathematical Surveys
1 Advances in Mathematics. Supplementary Studies

Publications by Year

Citations contained in zbMATH Open

182 Publications have been cited 5,201 times in 3,826 Documents Cited by Year
Stable mappings and their singularities. Zbl 0294.58004
Golubitsky, M.; Guillemin, V.
591
1973
Differential topology. Zbl 0361.57001
Guillemin, Victor; Pollack, Alan
368
1974
Symplectic techniques in physics. Zbl 0576.58012
Guillemin, Victor; Sternberg, Shlomo
309
1984
The spectrum of positive elliptic operators and periodic bicharacteristics. Zbl 0307.35071
Duistermaat, J. J.; Guillemin, V. W.
304
1975
Geometric asymptotics. Zbl 0364.53011
Guillemin, Victor; Sternberg, Shlomo
246
1977
Convexity properties of the moment mapping. Zbl 0503.58017
Guillemin, V.; Sternberg, S.
230
1982
Geometric quantization and multiplicities of group representations. Zbl 0503.58018
Guillemin, V.; Sternberg, S.
205
1982
The spectral theory of Toeplitz operators. Zbl 0469.47021
Boutet de Monvel, L.; Guillemin, V.
155
1981
Moment maps, cobordisms, and Hamiltonian group actions. Zbl 1197.53002
Guillemin, Victor; Ginzburg, Viktor; Karshon, Yael
116
2002
Supersymmetry and equivariant de Rham theory. With reprint of two seminal notes by Henri Cartan. Zbl 0934.55007
Guillemin, Victor W.; Sternberg, Shlomo
113
1999
An algebraic model of transitive differential geometry. Zbl 0121.38801
Guillemin, Victor W.; Sternberg, Shlomo
113
1964
A new proof of Weyl’s formula on the asymptotic distribution of eigenvalues. Zbl 0559.58025
Guillemin, Victor
103
1985
Symplectic techniques in physics. Reprinted with corrections. Zbl 0734.58005
Guillemin, Victor; Sternberg, Shlomo
92
1990
Kaehler structures on toric varieties. Zbl 0813.53042
Guillemin, Victor
89
1994
Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces. Zbl 0828.58001
Guillemin, Victor
81
1994
Some inverse spectral results for negatively curved 2-manifolds. Zbl 0465.58027
Guillemin, Victor; Kazhdan, David
79
1980
Symplectic fibrations and multiplicity diagrams. Zbl 0870.58023
Guillemin, Victor; Lerman, Eugene; Sternberg, Shlomo
64
1996
The Gelfand-Cetlin system and quantization of the complex flag manifolds. Zbl 0522.58021
Guillemin, V.; Sternberg, S.
58
1983
Grauert tubes and the homogeneous Monge-Ampère equation. Zbl 0746.32005
Guillemin, Victor; Stenzel, Matthew
56
1991
Some problems in integral geometry and some related problems in micro- local analysis. Zbl 0446.58019
Guillemin, Victor; Sternberg, Shlomo
53
1979
Oscillatory integrals with singular symbols. Zbl 0462.58030
Guillemin, V.; Uhlmann, G.
51
1981
Birational equivalence in the symplectic category. Zbl 0683.53033
Guillemin, V.; Sternberg, S.
47
1989
The moment map and collective motion. Zbl 0453.58015
Guillemin, Victor; Sternberg, Shlomo
47
1980
Differential topology. Reprint of the 1974 original. Zbl 1420.57001
Guillemin, Victor; Pollack, Alan
44
2010
Convexity properties of the moment mapping. II. Zbl 0561.58015
Guillemin, V.; Sternberg, S.
41
1984
The Radon transform on Zoll surfaces. Zbl 0353.53027
Guillemin, Victor
41
1976
Toeplitz operators in \(n\)-dimensions. Zbl 0561.47025
Guillemin, Victor
37
1984
Homogeneous quantization and multiplicities of group representations. Zbl 0733.58021
Guillemin, V.; Sternberg, S.
36
1982
The integrability problem for G-structures. Zbl 0178.55702
Guillemin, Victor W.
35
1965
The Poisson summation formula for manifolds with boundary. Zbl 0421.35082
Guillemin, Victor; Melrose, Richard
33
1979
Sojourn times and asymptotic properties of the scattering matrix. Zbl 0381.35064
Guillemin, V.
33
1977
A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras. Zbl 0183.26102
Guillemin, Victor W.
31
1968
A normal form for the moment map. Zbl 0548.58011
Guillemin, Victor; Sternberg, Shlomo
30
1984
Multiplicity-free spaces. Zbl 0548.58017
Guillemin, Victor; Sternberg, Shlomo
29
1984
Some spectral results for the Laplace operator with potential on the n- sphere. Zbl 0433.35052
Guillemin, Victor
29
1978
Remarks on a paper of Hermann. Zbl 0155.05701
Guillemin, Victor W.; Sternberg, Shlomo
29
1968
Deformation theory of pseudogroup structures. Zbl 0169.53001
Guillemin, Victor W.; Sternberg, Shlomo
29
1966
Infinite dimensional primitive Lie algebras. Zbl 0223.17007
Guillemin, Victor
28
1970
Band asymptotics in two dimensions. Zbl 0478.58029
Guillemin, Victor
25
1981
Some spectral results on rank one symmetric spaces. Zbl 0441.58012
Guillemin, V.
25
1978
Circular symmetry and the trace formula. Zbl 0686.58040
Guillemin, V.; Uribe, A.
24
1989
Cosmology in \((2+1)\)-dimensions, cyclic models, and deformations of \(M_{2,1}\). Zbl 0697.53003
Guillemin, Victor
24
1989
Star products on compact pre-quantizable symplectic manifolds. Zbl 0842.58041
Guillemin, Victor
23
1995
Grauert tubes and the homogeneous Monge-Ampère equation. II. Zbl 0789.32010
Guillemin, Victor; Stenzel, Matthew
23
1992
Lectures on spectral theory of elliptic operators. Zbl 0463.58024
Guillemin, Victor
23
1977
Codimension one symplectic foliations and regular Poisson structures. Zbl 1244.53093
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita
22
2011
Wave-trace invariants. Zbl 0858.58051
Guillemin, Victor
22
1996
Residue traces for certain algebras of Fourier integral operators. Zbl 0791.35162
Guillemin, V.
22
1993
A GKM description of the equivariant cohomology ring of a homogeneous space. Zbl 1096.53050
Guillemin, V.; Holm, T.; Zara, C.
21
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.
21
1988
On collective complete integrability according to the method of Thimm. Zbl 0511.58024
Guillemin, Victor; Sternberg, Shlomo
21
1984
1-skeleta, Betti numbers, and equivariant cohomology. Zbl 1020.57013
Guillemin, V.; Zara, C.
20
2001
Equivariant de Rham theory and graphs. Zbl 0971.58001
Guillemin, V.; Zara, C.
19
1999
Variations on a theme by Kepler. Zbl 0724.70006
Guillemin, Victor; Sternberg, Shlomo
19
1990
The integrability of characteristics. Zbl 0203.33002
Guillemin, V. W.; Quillen, D.; Sternberg, S.
18
1970
Gauged Lagrangian distributions. Zbl 0803.58052
Guillemin, Victor
17
1993
Contact equivalence for Lagrangian manifolds. Zbl 0295.57018
Golubitsky, M.; Guillemin, V.
16
1975
On the Kostant multiplicity formula. Zbl 0713.58013
Guillemin, V.; Lerman, E.; Sternberg, S.
15
1988
The metaplectic representation, Weyl operators and spectral theory. Zbl 0469.58017
Guillemin, V.; Sternberg, S.
15
1981
On a certain class of Fuchsian partial differential equations. Zbl 0356.35080
Guillemin, Victor; Schaeffer, David
15
1977
On some results of Gelfand in integral geometry. Zbl 0576.58028
Guillemin, Victor
14
1985
On the cohomology of certain dynamical systems. Zbl 0498.58018
Guillemin, Victor; Kazhdan, David
14
1980
The mod 2 cohomology of fixed point sets of anti-symplectic involutions. Zbl 1069.53058
Biss, Daniel; Guillemin, Victor W.; Holm, Tara S.
13
2004
Riemann-Roch for toric orbifolds. Zbl 0932.37039
Guillemin, Victor
13
1997
The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology. Zbl 0837.57028
Guillemin, Victor; Kalkman, Jaap
13
1996
Reduction and the trace formula. Zbl 0721.58050
Guillemin, Victor; Uribe, Alejandro
13
1990
Some algebraic results concerning the characteristics of overdetermined partial differential equations. Zbl 0162.40601
Guillemin, Victor W.
13
1968
Convexity properties of Hamiltonian group actions. Zbl 1084.53069
Guillemin, Victor; Sjamaar, Reyer
12
2005
Reduced phase spaces and Riemann-Roch. Zbl 0869.58017
Guillemin, Victor
12
1994
Heckman, Kostant, and Steinberg formulas for symplectic manifolds. Zbl 0718.58027
Guillemin, Victor; Prato, Elisa
12
1990
Clustering theorems with twisted spectra. Zbl 0591.58031
Guillemin, Victor; Uribe, Alejandro
12
1986
Some inverse spectral results for negatively curved n-manifolds. Zbl 0456.58031
Guillemin, Victor; Kazhdan, David
12
1980
Riemann sums over polytopes. Zbl 1143.52011
Guillemin, Victor; Sternberg, Shlomo
11
2007
The spectrum of positive elliptic operators and periodic geodesics. Zbl 0322.35071
Duistermaat, J. J.; Guillemin, V. W.
11
1975
A vector partition function for the multiplicities of \(\mathfrak{sl}_k\mathbb C\). Zbl 1116.17005
Billey, Sara; Guillemin, Victor; Rassart, Etienne
10
2004
On the period spectrum of a symplectic mapping. Zbl 0739.58020
Francoise, J. P.; Guillemin, V.
10
1991
Hardy functions and the inverse spectral method. Zbl 0567.35073
Guillemin, V.; Uribe, A.
10
1983
On the method of Symes for integrating systems of the Toda type. Zbl 0521.58033
Guillemin, V.; Sternberg, S.
10
1983
Spectral theory on S**2: some open questions. Zbl 0479.58020
Guillemin, Victor
10
1981
Stable mappings and their singularities. 2nd corr. printing. Zbl 0434.58001
Golubitsky, M.; Guillemin, V.
10
1980
Some classical theorems in spectral theory revisited. Zbl 0452.35093
Guillemin, Victor
10
1979
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
Lectures on spectral theory of elliptic operators. Zbl 0447.58033
Guillemin, Victor
10
1977
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
The classification of the irreducible complex algebras of infinite types. Zbl 0153.05903
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
10
1967
The classification of the complex primitive infinite pseudogroups. Zbl 0192.12702
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
10
1966
A semi-classical inverse problem. I: Taylor expansions. Zbl 1258.34036
Colin de Verdière, Yves; Guillemin, Victor
9
2011
Symplectic implosion. Zbl 1015.53054
Guillemin, Victor; Jeffrey, Lisa; Sjamaar, Reyer
9
2002
Symplectic reduction and Riemann-Roch for circle actions. Zbl 0839.58026
Duistermaat, Hans; Guillemin, Victor; Meinrenken, Eckhard; Wu, Siye
9
1995
Monodromy in the quantum spherical pendulum. Zbl 0689.58019
Guillemin, V.; Uribe, A.
9
1989
A cohomological invariant of discrete dynamical systems. Zbl 0482.58032
Guillemin, Victor; Melrose, Richard
9
1981
The Lewy counterexample and the local equivalence problem for G- structures. Zbl 0159.23401
Guillemin, Victor W.; Sternberg, Shlomo
9
1967
Kähler metrics on singular toric varieties. Zbl 1157.32019
Burns, Dan; Guillemin, Victor; Lerman, Eugene
8
2008
Some inverse spectral results for semi-classical Schrödinger operators. Zbl 1138.35006
Guillemin, Victor; Uribe, Alejandro
8
2007
GKM theory for torus actions with nonisolated fixed points. Zbl 1138.53315
Guillemin, Victor; Holm, Tara S.
8
2004
Potential functions and actions of tori on Kähler manifolds. Zbl 1073.53113
Burns, D.; Guillemin, V.
8
2004
On the unfolding of folded symplectic structures. Zbl 0984.53036
Cannas da Silva, Ana; Guillemin, Victor; Woodward, Christopher
8
2000
An ultra-hyperbolic analogue of the Robinson-Kerr theorem. Zbl 0604.58051
Guillemin, Victor; Sternberg, Shlomo
8
1986
Remarks on a paper of D. Ludwig. Zbl 0256.35008
Guillemin, V.; Schaeffer, D.
8
1973
Stability functions. Zbl 1186.53101
Burns, Daniel; Guillemin, Victor; Wang, Zuoqin
7
2010
Equivariant \(K\)-theory of GKM bundles. Zbl 1262.55007
Guillemin, Victor; Sabatini, Silvia; Zara, Catalin
1
2013
Semiclassical spectral invariants for Schrödinger operators. Zbl 1273.35198
Guillemin, Victor; Wang, Zuoqin
4
2012
Hearing Delzant polytopes from the equivariant spectrum. Zbl 1244.58011
Dryden, Emily B.; Guillemin, Victor; Sena-Dias, Rosa
3
2012
Cohomology of GKM fiber bundles. Zbl 1233.57021
Guillemin, Victor; Sabatini, Silvia; Zara, Catalin
3
2012
Equivariant inverse spectral theory and toric orbifolds. Zbl 1253.58014
Dryden, Emily B.; Guillemin, Victor; Sena-Dias, Rosa
2
2012
Band invariants for perturbations of the harmonic oscillator. Zbl 1248.35134
Guillemin, V.; Uribe, A.; Wang, Z.
1
2012
Codimension one symplectic foliations and regular Poisson structures. Zbl 1244.53093
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita
22
2011
A semi-classical inverse problem. I: Taylor expansions. Zbl 1258.34036
Colin de Verdière, Yves; Guillemin, Victor
9
2011
Symplectic origami. Zbl 1236.53062
Cannas da Silva, A.; Guillemin, V.; Pires, A. R.
6
2011
Remembering Johannes J. Duistermaat (1942–2010). Zbl 1225.01067
Guillemin, Victor (ed.); Pelayo, Álvaro (ed.); Vũ Ngọc, San (ed.); Weinstein, Alan (ed.); Atiyah, Michael; Cushman, Richard; Heckman, Gert; van den Ban, Erik; Kolk, Johan; Nirenberg, Louis; Sjamaar, Reyer; Sjöstrand, Johannes
1
2011
The Tian-Yau-Zelditch theorem and Toeplitz operators. Zbl 1226.32009
Burns, Daniel; Guillemin, Victor
1
2011
Differential topology. Reprint of the 1974 original. Zbl 1420.57001
Guillemin, Victor; Pollack, Alan
44
2010
Stability functions. Zbl 1186.53101
Burns, Daniel; Guillemin, Victor; Wang, Zuoqin
7
2010
Some remarks about semiclassical trace invariants and quantum normal forms. Zbl 1213.58021
Guillemin, Victor; Paul, Thierry
6
2010
The spectral density function of a toric variety. Zbl 1228.58016
Burns, D.; Guillemin, V.; Uribe, A.
3
2010
Symplectic fibrations and multiplicity diagrams. Reprint of the hardback edition 1996. Zbl 1166.37024
Guillemin, Victor; Lerman, Eugene; Sternberg, Shlomo
6
2009
Geodesics on weighted projective spaces. Zbl 1176.58014
Guillemin, V.; Uribe, A.; Wang, Z.
5
2009
Kähler metrics on singular toric varieties. Zbl 1157.32019
Burns, Dan; Guillemin, Victor; Lerman, Eugene
8
2008
Determinants of zeroth order operators. Zbl 1140.58017
Friedlander, Leonid; Guillemin, Victor
3
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
11
2007
Some inverse spectral results for semi-classical Schrödinger operators. Zbl 1138.35006
Guillemin, Victor; Uribe, Alejandro
8
2007
“Bottom of the well” semi-classical trace invariants. Zbl 1140.58007
Guillemin, V.; Paul, T.; Uribe, A.
6
2007
A GKM description of the equivariant cohomology ring of a homogeneous space. Zbl 1096.53050
Guillemin, V.; Holm, T.; Zara, C.
21
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
12
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.
1
2005
The mod 2 cohomology of fixed point sets of anti-symplectic involutions. Zbl 1069.53058
Biss, Daniel; Guillemin, Victor W.; Holm, Tara S.
13
2004
A vector partition function for the multiplicities of \(\mathfrak{sl}_k\mathbb C\). Zbl 1116.17005
Billey, Sara; Guillemin, Victor; Rassart, Etienne
10
2004
GKM theory for torus actions with nonisolated fixed points. Zbl 1138.53315
Guillemin, Victor; Holm, Tara S.
8
2004
Potential functions and actions of tori on Kähler manifolds. Zbl 1073.53113
Burns, D.; Guillemin, V.
8
2004
Signature quantization and representations of compact Lie groups. Zbl 1063.53094
Guillemin, Victor; Rassart, Etienne
2
2004
Morse theory on Hamiltonian \(G\)-spaces and equivariant \(K\)-theory. Zbl 1071.53048
Guillemin, Victor; Kogan, Mikhail
2
2004
Signature quantization. Zbl 1066.53139
Guillemin, Victor; Sternberg, Shlomo; Weitsman, Jonathan
2
2004
The existence of generating families for the cohomology ring of a graph. Zbl 1020.57014
Guillemin, Victor; Zara, Catalin
4
2003
Differential topology. Zbl 1040.57001
Guillemin, Victor; Pollack, Alan
2
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
116
2002
Symplectic implosion. Zbl 1015.53054
Guillemin, Victor; Jeffrey, Lisa; Sjamaar, Reyer
9
2002
Combinatorial formulas for products of Thom classes. Zbl 1009.57034
Guillemin, Victor; Zara, Catalin
4
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.
20
2001
\(G\)-actions on graphs. Zbl 1003.53058
Guillemin, V.; Zara, C.
5
2001
On the unfolding of folded symplectic structures. Zbl 0984.53036
Cannas da Silva, Ana; Guillemin, Victor; Woodward, Christopher
8
2000
Equivariant de Rham theory and graphs. Zbl 1072.55002
Guillemin, V.; Zara, C.
2
2000
Supersymmetry and equivariant de Rham theory. With reprint of two seminal notes by Henri Cartan. Zbl 0934.55007
Guillemin, Victor W.; Sternberg, Shlomo
113
1999
Equivariant de Rham theory and graphs. Zbl 0971.58001
Guillemin, V.; Zara, C.
19
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
Spectral asymptotics of Toeplitz operators on Zoll manifolds. Zbl 0909.47018
Guillemin, V.; Okikiolu, K.
3
1997
Subprincipal terms in Szegö estimates. Zbl 0881.58064
Guillemin, V.; Okikiolu, K.
3
1997
Symplectic fibrations and multiplicity diagrams. Zbl 0870.58023
Guillemin, Victor; Lerman, Eugene; Sternberg, Shlomo
64
1996
Wave-trace invariants. Zbl 0858.58051
Guillemin, Victor
22
1996
The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology. Zbl 0837.57028
Guillemin, Victor; Kalkman, Jaap
13
1996
Cobordism theory and localization formulas for Hamiltonian group actions. Zbl 0863.57027
Ginzburg, Viktor; Guillemin, Victor; Karshon, Yael
6
1996
Szegö theorems for Zoll operators. Zbl 0899.47038
Guillemin, V.; Okikiolu, K.
3
1996
Measure theory and probability. Repr. with corr. from the Wadsworth ed. Zbl 0851.28001
Adams, Malcolm; Guillemin, Victor
2
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
23
1995
Symplectic reduction and Riemann-Roch for circle actions. Zbl 0839.58026
Duistermaat, Hans; Guillemin, Victor; Meinrenken, Eckhard; Wu, Siye
9
1995
The coefficients of the Duistermaat-Heckman polynomial and the cohomology ring of reduced spaces. Zbl 0869.57029
Guillemin, Victor; Sternberg, Shlomo
3
1995
Kaehler structures on toric varieties. Zbl 0813.53042
Guillemin, Victor
89
1994
Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces. Zbl 0828.58001
Guillemin, Victor
81
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
Brüning, Jochen (ed.); Guillemin, Victor W. (ed.)
1
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
17
1993
Wave-trace invariants and a theorem of Zelditch. Zbl 0798.58073
Guillemin, Victor
4
1993
Kaehler structures on \(K_ \mathbb{C}/N\). Zbl 0809.53060
Chuah, Meng-Kiat; 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
23
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
56
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
92
1990
Variations on a theme by Kepler. Zbl 0724.70006
Guillemin, Victor; Sternberg, Shlomo
19
1990
Reduction and the trace formula. Zbl 0721.58050
Guillemin, Victor; Uribe, Alejandro
13
1990
Heckman, Kostant, and Steinberg formulas for symplectic manifolds. Zbl 0718.58027
Guillemin, Victor; Prato, Elisa
12
1990
Inverse spectral results on two-dimensional tori. Zbl 0702.58075
Guillemin, V.
5
1990
Birational equivalence in the symplectic category. Zbl 0683.53033
Guillemin, V.; Sternberg, S.
47
1989
Circular symmetry and the trace formula. Zbl 0686.58040
Guillemin, V.; Uribe, A.
24
1989
Cosmology in \((2+1)\)-dimensions, cyclic models, and deformations of \(M_{2,1}\). Zbl 0697.53003
Guillemin, Victor
24
1989
Monodromy in the quantum spherical pendulum. Zbl 0689.58019
Guillemin, V.; Uribe, A.
9
1989
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.
21
1988
On the Kostant multiplicity formula. Zbl 0713.58013
Guillemin, V.; Lerman, E.; Sternberg, S.
15
1988
Douglas’ solution of the Plateau problem. Zbl 0666.49014
Guillemin, Victor; Kostant, Bertram; Sternberg, Shlomo
1
1988
Reduction, the trace formula, and semiclassical asymptotics. Zbl 0639.58028
Guillemin, Victor; Uribe, Alejandro
4
1987
Some spectral properties of periodic potentials. Zbl 0651.35067
Guillemin, V.; Uribe, A.
2
1987
Perspectives in integral geometry. Zbl 0614.53050
Guillemin, Victor
2
1987
Clustering theorems with twisted spectra. Zbl 0591.58031
Guillemin, Victor; Uribe, Alejandro
12
1986
An ultra-hyperbolic analogue of the Robinson-Kerr theorem. Zbl 0604.58051
Guillemin, Victor; Sternberg, Shlomo
8
1986
Measure theory and probability. Zbl 0586.28001
Adams, Malcolm; Guillemin, Victor
7
1986
The trace formula for vector bundles. Zbl 0626.58018
Guillemin, V.; Uribe, A.
5
1986
A new proof of Weyl’s formula on the asymptotic distribution of eigenvalues. Zbl 0559.58025
Guillemin, Victor
103
1985
On some results of Gelfand in integral geometry. Zbl 0576.58028
Guillemin, Victor
14
1985
The integral geometry of line complexes and a theorem of Gelfand-Graev. Zbl 0614.53051
Guillemin, Victor
2
1985
...and 82 more Documents
all top 5

Cited by 3,800 Authors

58 Guillemin, Victor W.
44 Zelditch, Steve
30 Uhlmann, Gunther Alberto
29 Ratiu, Tudor Stefan
28 Uribe, Alejandro
25 Pelayo, Alvaro
25 Sternberg, Shlomo
21 Miranda, Eva
21 Weinstein, Alan David
20 Paoletti, Roberto
20 Paternain, Gabriel Pedro
20 Quinto, Eric Todd
16 Kruglikov, Boris S.
15 Goertsches, Oliver
15 Marsden, Jerrold Eldon
15 Vergne, Michèle
14 Colin de Verdière, Yves
13 Saeki, Osamu
13 Vũ Ngọc, San
12 Greenleaf, Allan
12 Kirwan, Frances Clare
12 Ponge, Raphaël S.
12 Zworski, Maciej
11 Izumiya, Shyuichi
11 Karshon, Yael
11 Kordyukov, Yuri A.
11 Ma, Xiaonan
11 Paul, Thierry
11 Petkov, Vesselin M.
11 Romero-Fuster, María Carmen
11 Śniatycki, Jędrzej
11 Stoyanov, Luchezar N.
11 Wang, Yong
10 Biliotti, Leonardo
10 Chen, Bohui
10 Duistermaat, Johannes Jisse
10 Engliš, Miroslav
10 Hall, Brian C.
10 Holm, Tara S.
10 Jeffrey, Lisa C.
10 Kac, Victor G.
10 Kirwin, William D.
10 Lychagin, Valentin V.
10 Melrose, Richard Burt
10 Ortega, Juan-Pablo
10 Paradan, Paul-Emile
10 Popov, Georgi St.
10 Sjöstrand, Johannes
10 Tolman, Susan
10 Toth, John Andrew
10 Winternitz, Pavel
9 Bloch, Anthony M.
9 Cho, Yunhyung
9 Chuah, Meng-Kiat
9 de Gosson, Maurice Alexis
9 Ginzburg, Viktor L’vovich
9 Gotay, Mark J.
9 Guillemin, Victor W.
9 Kappeler, Thomas
9 Krishnan, Venkateswaran P.
9 Meinrenken, Eckhard
9 Muñoz Masqué, Jaime
9 Polterovich, Leonid Viktorovich
9 Prástaro, Agostino
9 Prato, Elisa
9 Sabatini, Silvia
9 Schrohe, Elmar
9 Tchoń, Krzysztof
9 Wang, Jian
9 Wang, Zuoqin
8 Adams, Malcolm R.
8 Barron, Tatyana
8 Charles, Laurent
8 Dancer, Andrew S.
8 Françoise, Jean-Pierre
8 Futorny, Vyacheslav M.
8 Golubitsky, Martin A.
8 Mare, Augustin-Liviu
8 Masuda, Mikiya
8 Monard, François
8 Oh, Yong-Geun
8 Robert, Didier
8 Sjamaar, Reyer
8 Stefanov, Plamen D.
8 Szoke, Róbert
8 Taylor, Michael Eugene
8 Viña, Andrés
8 Woodward, Christopher T.
8 Wunsch, Jared
7 Alekseev, Anton Yu.
7 Apostolov, Vestislav
7 Battaglia, Fiammetta
7 Coburn, Lewis A.
7 Coriasco, Sandro
7 Cushman, Richard H.
7 de la Llave, Rafael
7 Felea, Raluca
7 Furi, Massimo
7 Guillarmou, Colin
7 Hassell, Andrew
...and 3,700 more Authors
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Cited in 444 Serials

177 Communications in Mathematical Physics
177 Journal of Geometry and Physics
156 Transactions of the American Mathematical Society
146 Advances in Mathematics
107 Journal of Functional Analysis
84 Journal of Mathematical Physics
76 Inventiones Mathematicae
75 Annales de l’Institut Fourier
73 Duke Mathematical Journal
66 Proceedings of the American Mathematical Society
65 Mathematische Zeitschrift
64 Mathematische Annalen
59 Letters in Mathematical Physics
58 Journal of Differential Equations
56 Communications in Partial Differential Equations
54 Journal of Mathematical Economics
51 The Journal of Geometric Analysis
49 Differential Geometry and its Applications
45 Annals of Global Analysis and Geometry
41 Journal of Mathematical Analysis and Applications
40 Topology and its Applications
36 Functional Analysis and its Applications
30 Journal of Economic Theory
29 Reports on Mathematical Physics
29 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
28 Journal of Soviet Mathematics
27 Bulletin of the American Mathematical Society. New Series
26 Journal of Algebra
25 International Journal of Mathematics
23 Journal d’Analyse Mathématique
22 Physica D
22 Journal of the American Mathematical Society
21 International Journal of Theoretical Physics
21 Geometriae Dedicata
21 Acta Applicandae Mathematicae
21 Journal of Mathematical Sciences (New York)
20 Archive for Rational Mechanics and Analysis
20 Systems & Control Letters
20 Linear Algebra and its Applications
20 Comptes Rendus. Mathématique. Académie des Sciences, Paris
19 Annali di Matematica Pura ed Applicata. Serie Quarta
19 Annales de l’Institut Henri Poincaré. Physique Théorique
19 Transformation Groups
19 Geometry & Topology
19 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
18 Reviews in Mathematical Physics
18 Manuscripta Mathematica
17 Compositio Mathematica
17 Journal für die Reine und Angewandte Mathematik
17 Indagationes Mathematicae. New Series
17 International Journal of Geometric Methods in Modern Physics
15 Journal of Pure and Applied Algebra
15 Publications of the Research Institute for Mathematical Sciences, Kyoto University
15 Ergodic Theory and Dynamical Systems
15 Annals of Physics
15 Selecta Mathematica. New Series
14 Nuclear Physics. B
14 Memoirs of the American Mathematical Society
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Journal of Nonlinear Science
14 Annales Henri Poincaré
14 Bulletin of the American Mathematical Society
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Acta Mathematica
13 Tohoku Mathematical Journal. Second Series
13 Journal de Mathématiques Pures et Appliquées. Neuvième Série
13 The Journal of Fourier Analysis and Applications
13 Regular and Chaotic Dynamics
13 Algebraic & Geometric Topology
13 Journal of Pseudo-Differential Operators and Applications
12 Israel Journal of Mathematics
12 Mathematical Notes
12 Automatica
12 Integral Equations and Operator Theory
12 Geometric and Functional Analysis. GAFA
12 Economic Theory
12 Journal of High Energy Physics
12 Nonlinear Analysis. Theory, Methods & Applications
11 Bulletin de la Société Mathématique de France
11 Advances in Applied Mathematics
11 Annals of Mathematics. Second Series
11 Journal of Geometric Mechanics
10 Physics Letters. A
10 Cahiers de Topologie et Géométrie Différentielle Catégoriques
10 Publications Mathématiques
10 Journal of the Mathematical Society of Japan
10 Journal of Optimization Theory and Applications
10 Proceedings of the Japan Academy. Series A
9 Communications in Algebra
9 Monatshefte für Mathematik
9 Discrete and Continuous Dynamical Systems
8 Communications on Pure and Applied Mathematics
8 Archiv der Mathematik
8 Czechoslovak Mathematical Journal
8 MCSS. Mathematics of Control, Signals, and Systems
8 SIAM Journal on Mathematical Analysis
8 Journal of Dynamics and Differential Equations
8 Journal of Dynamical and Control Systems
8 Foundations of Physics
8 Proceedings of the Steklov Institute of Mathematics
...and 344 more Serials
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Cited in 62 Fields

1,376 Differential geometry (53-XX)
963 Global analysis, analysis on manifolds (58-XX)
660 Partial differential equations (35-XX)
611 Dynamical systems and ergodic theory (37-XX)
484 Quantum theory (81-XX)
420 Manifolds and cell complexes (57-XX)
316 Several complex variables and analytic spaces (32-XX)
308 Algebraic geometry (14-XX)
252 Topological groups, Lie groups (22-XX)
237 Operator theory (47-XX)
220 Mechanics of particles and systems (70-XX)
214 Nonassociative rings and algebras (17-XX)
153 Ordinary differential equations (34-XX)
151 Algebraic topology (55-XX)
134 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
121 Functional analysis (46-XX)
93 Systems theory; control (93-XX)
82 Convex and discrete geometry (52-XX)
76 Relativity and gravitational theory (83-XX)
75 Integral transforms, operational calculus (44-XX)
72 Numerical analysis (65-XX)
60 Group theory and generalizations (20-XX)
55 Probability theory and stochastic processes (60-XX)
53 Number theory (11-XX)
53 Calculus of variations and optimal control; optimization (49-XX)
50 Linear and multilinear algebra; matrix theory (15-XX)
48 Combinatorics (05-XX)
48 Fluid mechanics (76-XX)
45 Abstract harmonic analysis (43-XX)
43 Harmonic analysis on Euclidean spaces (42-XX)
41 \(K\)-theory (19-XX)
41 Functions of a complex variable (30-XX)
41 Statistical mechanics, structure of matter (82-XX)
38 Associative rings and algebras (16-XX)
38 Computer science (68-XX)
37 Optics, electromagnetic theory (78-XX)
35 Mechanics of deformable solids (74-XX)
35 Biology and other natural sciences (92-XX)
34 Commutative algebra (13-XX)
34 Operations research, mathematical programming (90-XX)
26 General topology (54-XX)
25 Category theory; homological algebra (18-XX)
25 Measure and integration (28-XX)
25 Information and communication theory, circuits (94-XX)
23 Statistics (62-XX)
21 Real functions (26-XX)
20 Geometry (51-XX)
17 Special functions (33-XX)
16 Field theory and polynomials (12-XX)
16 Approximations and expansions (41-XX)
13 Geophysics (86-XX)
12 General and overarching topics; collections (00-XX)
10 Difference and functional equations (39-XX)
9 History and biography (01-XX)
9 Potential theory (31-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Mathematical logic and foundations (03-XX)
7 Integral equations (45-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Sequences, series, summability (40-XX)
6 Astronomy and astrophysics (85-XX)
1 General algebraic systems (08-XX)

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