Edit Profile (opens in new tab) Guillemin, Victor W. Co-Author Distance Author ID: guillemin.victor-w Published as: Guillemin, Victor; Guillemin, V.; Guillemin, Victor W.; Guillemin, V. W.; Guillemin, Victor L. more...less Homepage: https://math.mit.edu/~vwg/ External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 229 Publications since 1963, including 26 Books and 5 Additional arXiv Preprints 10 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 78 Co-Authors with 189 Joint Publications 2,037 Co-Co-Authors all top 5 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 all top 5 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 all top 5 Fields 112 Differential geometry (53-XX) 97 Global analysis, analysis on manifolds (58-XX) 50 Partial differential equations (35-XX) 41 Dynamical systems and ergodic theory (37-XX) 38 Manifolds and cell complexes (57-XX) 25 Quantum theory (81-XX) 23 Topological groups, Lie groups (22-XX) 20 Operator theory (47-XX) 16 Algebraic topology (55-XX) 11 Algebraic geometry (14-XX) 10 History and biography (01-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Combinatorics (05-XX) 7 Nonassociative rings and algebras (17-XX) 7 Mechanics of particles and systems (70-XX) 6 General and overarching topics; collections (00-XX) 6 Integral transforms, operational calculus (44-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 3 Group theory and generalizations (20-XX) 3 Convex and discrete geometry (52-XX) 2 \(K\)-theory (19-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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