# zbMATH — the first resource for mathematics

## Paul, Thierry

Compute Distance To:
 Author ID: paul.thierry Published as: Paul, Thierry; Paul, T. Homepage: http://www.math.polytechnique.fr/~paul/ External Links: MGP
 Documents Indexed: 83 Publications since 1985
all top 5

#### Co-Authors

 15 single-authored 12 Uribe, Alejandro 11 Golse, François 7 Athanassoulis, Agisillaos 5 Bambusi, Dario 5 Graffi, Sandro 5 Pulvirenti, Mario 4 Markowich, Peter Alexander 3 Cheverry, Christophe 3 Figalli, Alessio 3 Gallagher, Isabelle 3 Grossmann, Alex 3 Kappeler, Thomas 3 Saint-Raymond, Laure 3 Sauzin, David 2 Ambrosio, Luigi 2 Bardos, Claude Williams 2 Borthwick, David 2 Daubechies, Ingrid Chantal 2 Friesecke, Gero 2 Giannoulis, Johannes 2 Guillemin, Victor W. 2 Longo, Giuseppe 2 Morlet, J. 2 Pezzotti, Federica 2 Sparber, Christof 1 Balslev, Erik 1 Bloch, Anthony M. 1 Brummelhuis, Raymond 1 Caglioti, Emanuele 1 Courdebaisse, Guy 1 Escudie, Bernard 1 Gérard-Varet, David 1 Hériveaux, C. 1 Jin, Shi 1 Klauder, John Rider 1 Lalithambigai, S. 1 Ligabò, Marilena 1 Lions, Pierre-Louis 1 Marché, Julien 1 Mauser, Norbert Julius 1 Mouhot, Clément 1 Novelli, Jean-Christophe 1 Palamidessi, Catuscia 1 Seip, Kristian 1 Shunmugaraj, P. 1 Simonella, Sergio 1 Stolovitch, Laurent 1 Thibon, Jean-Yves 1 Thota, Vamsinadh 1 Zanelli, Lorenzo
all top 5

#### Serials

 6 Communications in Mathematical Physics 6 Journal of Functional Analysis 4 Archive for Rational Mechanics and Analysis 4 Discrete and Continuous Dynamical Systems 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Mathematical Physics 3 Duke Mathematical Journal 3 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Communications on Pure and Applied Mathematics 2 Letters in Mathematical Physics 2 Gazette des Mathématiciens 2 Transactions of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 MSCS. Mathematical Structures in Computer Science 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Nonlinearity 1 Annales de l’Institut Fourier 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Information and Computation 1 Asymptotic Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Dynamics and Differential Equations 1 Applied and Computational Harmonic Analysis 1 Séminaire Équations aux Dérivées Partielles 1 Mathematical Research Letters 1 The Journal of Fourier Analysis and Applications 1 Regular and Chaotic Dynamics 1 Annales Henri Poincaré 1 Foundations of Computational Mathematics 1 Matapli
all top 5

#### Fields

 54 Quantum theory (81-XX) 44 Partial differential equations (35-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Global analysis, analysis on manifolds (58-XX) 8 Operator theory (47-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Differential geometry (53-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

63 Publications have been cited 786 times in 563 Documents Cited by Year
On Wigner measures. (Sur les mesures de Wigner.) Zbl 0801.35117
Lions, Pierre Louis; Paul, Thierry
1993
Transforms associated to square integrable group representations. I: General results. Zbl 0571.22021
Grossmann, A.; Morlet, J.; Paul, T.
1985
Time-frequency localisation operators - a geometric phase space approach: II. The use of dilations. Zbl 0701.42004
Daubechies, Ingrid; Paul, Thierry
1988
Transforms associated to square integrable group representations. II: Examples. Zbl 0601.22001
Grossmann, A.; Morlet, J.; Paul, T.
1986
The semi-classical trace formula and propagation of wave packets. Zbl 0837.35106
Paul, T.; Uribe, A.
1995
Spectral estimates around a critical level. Zbl 0849.58067
Brummelhuis, R.; Paul, T.; Uribe, A.
1995
On the mean field and classical limits of quantum mechanics. Zbl 1418.81021
Golse, François; Mouhot, Clément; Paul, Thierry
2016
Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data. Zbl 1231.35186
Ambrosio, Luigi; Figalli, Alessio; Friesecke, Gero; Giannoulis, Johannes; Paul, Thierry
2011
Legendrian distributions with applications to relative Poincaré series. Zbl 0859.58015
Borthwick, D.; Paul, T.; Uribe, A.
1995
The Schrödinger equation and canonical perturbation theory. Zbl 0622.35071
Graffi, Sandro; Paul, Thierry
1987
Long time semiclassical approximation of quantum flows: A proof of the Ehrenfest time. Zbl 0934.35142
Bambusi, Dario; Graffi, Sandro; Paul, Thierry
1999
Semiclassical spectral estimates for Toeplitz operators. Zbl 0920.58059
Borthwick, David; Paul, Thierry; Uribe, Alejandro
1998
The Schrödinger equation in the mean-field and semiclassical regime. Zbl 1359.35164
Golse, François; Paul, Thierry
2017
Strong semiclassical approximation of Wigner functions for the Hartree dynamics. Zbl 1235.81100
Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario
2011
Dispersionless Toda and Toeplitz operators. Zbl 1024.37047
Bloch, A.; Golse, F.; Paul, T.; Uribe, A.
2003
Normal forms and quantization formulae. Zbl 1040.81019
Bambusi, Dario; Graffi, Sandro; Paul, Thierry
1999
Sur la formule semi-classique des traces. (On the semi-classical trace formula). Zbl 0738.58046
Paul, Thierry; Uribe, Alejandro
1991
Coarse-scale representations and smoothed Wigner transforms. Zbl 1170.81033
Athanassoulis, Agissilaos G.; Mauser, Norbert J.; Paul, Thierry
2009
Wiener measures for path integrals with affine kinematic variables. Zbl 0615.58008
Daubechies, Ingrid; Klauder, John R.; Paul, Thierry
1987
Convergence of a quantum normal form and an exact quantization formula. Zbl 1248.81096
Graffi, Sandro; Paul, Thierry
2012
A construction of quasi-modes using coherent states. Zbl 0808.35118
Paul, Thierry; Uribe, Alejandro
1993
Bohmian measures and their classical limit. Zbl 1195.81060
Markowich, Peter; Paul, Thierry; Sparber, Christof
2010
On the size of chaos in the mean field dynamics. Zbl 1404.81117
Paul, Thierry; Pulvirenti, Mario; Simonella, Sergio
2019
Semiclassical limit for mixed states with singular and rough potentials. Zbl 1264.81177
Figalli, Alessio; Ligabò, Marilena; Paul, Thierry
2012
Strong phase-space semiclassical asymptotics. Zbl 1235.81099
Athanassoulis, Agissilaos; Paul, Thierry
2011
On the derivation of the Hartree equation from the $$N$$-body Schrödinger equation: uniformity in the Planck constant. Zbl 1400.82146
Golse, François; Paul, Thierry; Pulvirenti, Mario
2018
Some remarks about semiclassical trace invariants and quantum normal forms. Zbl 1213.58021
Guillemin, Victor; Paul, Thierry
2010
“Bottom of the well” semi-classical trace invariants. Zbl 1140.58007
Guillemin, V.; Paul, T.; Uribe, A.
2007
Wave packets and the quadratic Monge-Kantorovich distance in quantum mechanics. (Paquets d’ondes et distance quadratique de Monge-Kantorovich en mécanique quantique.) Zbl 1383.81030
Golse, François; Paul, Thierry
2018
On the pointwise behavior of semi-classical measures. Zbl 0853.47038
Paul, T.; Uribe, A.
1996
Semiclassical propagation of coherent states for the Hartree equation. Zbl 1238.81140
Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario
2011
On the dynamics of Bohmian measures. Zbl 1256.35171
Markowich, Peter; Paul, Thierry; Sparber, Christof
2012
Strong and weak semiclassical limit for some rough Hamiltonians. Zbl 1255.35185
Athanassoulis, Agissilaos; Paul, Thierry
2012
Toeplitz operators in TQFT via skein theory. Zbl 1328.47031
Marché, Julien; Paul, Thierry
2015
Wavelets and quantum mechanics. Zbl 0796.35140
Paul, T.; Seip, K.
1992
From Toda to KdV. (De Toda à KdV.) Zbl 1181.37110
Bambusi, Dario; Kappeler, Thomas; Paul, Thierry
2009
Empirical measures and quantum mechanics: applications to the mean-field limit. Zbl 1417.81127
Golse, François; Paul, Thierry
2019
Semiclassical and spectral analysis of oceanic waves. Zbl 1244.35147
Cheverry, Christophe; Gallagher, Isabelle; Paul, Thierry; Saint-Raymond, Laure
2012
Remarks on boundary layer expansions. Zbl 1159.35308
Gérard-Varet, David; Paul, Thierry
2008
Trapping Rossby waves. Zbl 1177.35162
Cheverry, Christophe; Gallagher, Isabelle; Paul, Thierry; Saint-Raymond, Laure
2009
Normalization in Lie algebras via mould calculus and applications. Zbl 1383.37049
Paul, Thierry; Sauzin, David
2017
On the dynamics of WKB wave functions whose phase are weak KAM solutions of H-J equation. Zbl 1310.58019
Paul, Thierry; Zanelli, Lorenzo
2014
Chebyshev centers and some geometric properties of Banach spaces. Zbl 1367.46015
Lalithambigai, S.; Paul, T.; Shunmugaraj, P.; Thota, V.
2017
Semi-classical methods with emphasis on coherent states. Zbl 0893.35109
Paul, T.
1997
The mathematics of computing between logic and physics. Zbl 1260.81049
Longo, Guiseppe; Paul, Thierry
2011
On the propagation of oceanic waves driven by a strong macroscopic flow. Zbl 1252.35266
Gallagher, Isabelle; Paul, Thierry; Saint-Raymond, Laure
2012
Hamiltonian evolution of monokinetic measures with rough momentum profile. Zbl 1329.35259
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry
2015
Smoothed affine Wigner transform. Zbl 1188.81124
Athanassoulis, A.; Paul, T.
2010
Rayleigh-Schrödinger series and Birkhoff decomposition. Zbl 1395.81115
Novelli, Jean-Christophe; Paul, Thierry; Sauzin, David; Thibon, Jean-Yves
2018
Asymptotic expansion of the mean-field approximation. Zbl 1412.35285
Paul, Thierry; Pulvirenti, Mario
2019
On the status of perturbation theory. Zbl 1116.81006
Paul, Thierry
2007
From Toda to KdV. Zbl 1334.37078
Bambusi, D.; Kappeler, T.; Paul, T.
2015
Quantum singular complete integrability. Zbl 1350.47057
Paul, Thierry; Stolovitch, Laurent
2016
Normalization in Banach scale Lie algebras via mould calculus and applications. Zbl 1373.37143
Paul, Thierry; Sauzin, David
2017
Weighted Weyl estimates near an elliptic trajectory. Zbl 0923.58055
Paul, Thierry; Uribe, Alejandro
1998
On the selection of the classical limit for potentials with BV derivatives. Zbl 1267.81158
Athanassoulis, Agissilaos; Paul, Thierry
2013
Dynamics of periodic Toda chains with a large number of particles. Zbl 1317.35255
Bambusi, D.; Kappeler, T.; Paul, T.
2015
Semiclassical approximation and noncommutative geometry. Zbl 1231.35189
Paul, Thierry
2011
On some geometry of propagation in diffractive time scales. Zbl 1243.35118
Cheverry, Christophe; Paul, Thierry
2012
Semiclassical analysis and sensitivity to initial conditions. Zbl 1165.81308
Paul, Thierry
2009
Quantum optimal transport is cheaper. Zbl 1448.49045
Caglioti, E.; Golse, F.; Paul, T.
2020
Discrete-continuous and classical-quantum. Zbl 1116.81005
Paul, Thierry
2007
On the classical limit of the Schrödinger equation. Zbl 1332.35312
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry
2015
Quantum optimal transport is cheaper. Zbl 1448.49045
Caglioti, E.; Golse, F.; Paul, T.
2020
On the size of chaos in the mean field dynamics. Zbl 1404.81117
Paul, Thierry; Pulvirenti, Mario; Simonella, Sergio
2019
Empirical measures and quantum mechanics: applications to the mean-field limit. Zbl 1417.81127
Golse, François; Paul, Thierry
2019
Asymptotic expansion of the mean-field approximation. Zbl 1412.35285
Paul, Thierry; Pulvirenti, Mario
2019
On the derivation of the Hartree equation from the $$N$$-body Schrödinger equation: uniformity in the Planck constant. Zbl 1400.82146
Golse, François; Paul, Thierry; Pulvirenti, Mario
2018
Wave packets and the quadratic Monge-Kantorovich distance in quantum mechanics. (Paquets d’ondes et distance quadratique de Monge-Kantorovich en mécanique quantique.) Zbl 1383.81030
Golse, François; Paul, Thierry
2018
Rayleigh-Schrödinger series and Birkhoff decomposition. Zbl 1395.81115
Novelli, Jean-Christophe; Paul, Thierry; Sauzin, David; Thibon, Jean-Yves
2018
The Schrödinger equation in the mean-field and semiclassical regime. Zbl 1359.35164
Golse, François; Paul, Thierry
2017
Normalization in Lie algebras via mould calculus and applications. Zbl 1383.37049
Paul, Thierry; Sauzin, David
2017
Chebyshev centers and some geometric properties of Banach spaces. Zbl 1367.46015
Lalithambigai, S.; Paul, T.; Shunmugaraj, P.; Thota, V.
2017
Normalization in Banach scale Lie algebras via mould calculus and applications. Zbl 1373.37143
Paul, Thierry; Sauzin, David
2017
On the mean field and classical limits of quantum mechanics. Zbl 1418.81021
Golse, François; Mouhot, Clément; Paul, Thierry
2016
Quantum singular complete integrability. Zbl 1350.47057
Paul, Thierry; Stolovitch, Laurent
2016
Toeplitz operators in TQFT via skein theory. Zbl 1328.47031
Marché, Julien; Paul, Thierry
2015
Hamiltonian evolution of monokinetic measures with rough momentum profile. Zbl 1329.35259
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry
2015
From Toda to KdV. Zbl 1334.37078
Bambusi, D.; Kappeler, T.; Paul, T.
2015
Dynamics of periodic Toda chains with a large number of particles. Zbl 1317.35255
Bambusi, D.; Kappeler, T.; Paul, T.
2015
On the classical limit of the Schrödinger equation. Zbl 1332.35312
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry
2015
On the dynamics of WKB wave functions whose phase are weak KAM solutions of H-J equation. Zbl 1310.58019
Paul, Thierry; Zanelli, Lorenzo
2014
On the selection of the classical limit for potentials with BV derivatives. Zbl 1267.81158
Athanassoulis, Agissilaos; Paul, Thierry
2013
Convergence of a quantum normal form and an exact quantization formula. Zbl 1248.81096
Graffi, Sandro; Paul, Thierry
2012
Semiclassical limit for mixed states with singular and rough potentials. Zbl 1264.81177
Figalli, Alessio; Ligabò, Marilena; Paul, Thierry
2012
On the dynamics of Bohmian measures. Zbl 1256.35171
Markowich, Peter; Paul, Thierry; Sparber, Christof
2012
Strong and weak semiclassical limit for some rough Hamiltonians. Zbl 1255.35185
Athanassoulis, Agissilaos; Paul, Thierry
2012
Semiclassical and spectral analysis of oceanic waves. Zbl 1244.35147
Cheverry, Christophe; Gallagher, Isabelle; Paul, Thierry; Saint-Raymond, Laure
2012
On the propagation of oceanic waves driven by a strong macroscopic flow. Zbl 1252.35266
Gallagher, Isabelle; Paul, Thierry; Saint-Raymond, Laure
2012
On some geometry of propagation in diffractive time scales. Zbl 1243.35118
Cheverry, Christophe; Paul, Thierry
2012
Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data. Zbl 1231.35186
Ambrosio, Luigi; Figalli, Alessio; Friesecke, Gero; Giannoulis, Johannes; Paul, Thierry
2011
Strong semiclassical approximation of Wigner functions for the Hartree dynamics. Zbl 1235.81100
Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario
2011
Strong phase-space semiclassical asymptotics. Zbl 1235.81099
Athanassoulis, Agissilaos; Paul, Thierry
2011
Semiclassical propagation of coherent states for the Hartree equation. Zbl 1238.81140
Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario
2011
The mathematics of computing between logic and physics. Zbl 1260.81049
Longo, Guiseppe; Paul, Thierry
2011
Semiclassical approximation and noncommutative geometry. Zbl 1231.35189
Paul, Thierry
2011
Bohmian measures and their classical limit. Zbl 1195.81060
Markowich, Peter; Paul, Thierry; Sparber, Christof
2010
Some remarks about semiclassical trace invariants and quantum normal forms. Zbl 1213.58021
Guillemin, Victor; Paul, Thierry
2010
Smoothed affine Wigner transform. Zbl 1188.81124
Athanassoulis, A.; Paul, T.
2010
Coarse-scale representations and smoothed Wigner transforms. Zbl 1170.81033
Athanassoulis, Agissilaos G.; Mauser, Norbert J.; Paul, Thierry
2009
From Toda to KdV. (De Toda à KdV.) Zbl 1181.37110
Bambusi, Dario; Kappeler, Thomas; Paul, Thierry
2009
Trapping Rossby waves. Zbl 1177.35162
Cheverry, Christophe; Gallagher, Isabelle; Paul, Thierry; Saint-Raymond, Laure
2009
Semiclassical analysis and sensitivity to initial conditions. Zbl 1165.81308
Paul, Thierry
2009
Remarks on boundary layer expansions. Zbl 1159.35308
Gérard-Varet, David; Paul, Thierry
2008
“Bottom of the well” semi-classical trace invariants. Zbl 1140.58007
Guillemin, V.; Paul, T.; Uribe, A.
2007
On the status of perturbation theory. Zbl 1116.81006
Paul, Thierry
2007
Discrete-continuous and classical-quantum. Zbl 1116.81005
Paul, Thierry
2007
Dispersionless Toda and Toeplitz operators. Zbl 1024.37047
Bloch, A.; Golse, F.; Paul, T.; Uribe, A.
2003
Long time semiclassical approximation of quantum flows: A proof of the Ehrenfest time. Zbl 0934.35142
Bambusi, Dario; Graffi, Sandro; Paul, Thierry
1999
Normal forms and quantization formulae. Zbl 1040.81019
Bambusi, Dario; Graffi, Sandro; Paul, Thierry
1999
Semiclassical spectral estimates for Toeplitz operators. Zbl 0920.58059
Borthwick, David; Paul, Thierry; Uribe, Alejandro
1998
Weighted Weyl estimates near an elliptic trajectory. Zbl 0923.58055
Paul, Thierry; Uribe, Alejandro
1998
Semi-classical methods with emphasis on coherent states. Zbl 0893.35109
Paul, T.
1997
On the pointwise behavior of semi-classical measures. Zbl 0853.47038
Paul, T.; Uribe, A.
1996
The semi-classical trace formula and propagation of wave packets. Zbl 0837.35106
Paul, T.; Uribe, A.
1995
Spectral estimates around a critical level. Zbl 0849.58067
Brummelhuis, R.; Paul, T.; Uribe, A.
1995
Legendrian distributions with applications to relative Poincaré series. Zbl 0859.58015
Borthwick, D.; Paul, T.; Uribe, A.
1995
On Wigner measures. (Sur les mesures de Wigner.) Zbl 0801.35117
Lions, Pierre Louis; Paul, Thierry
1993
A construction of quasi-modes using coherent states. Zbl 0808.35118
Paul, Thierry; Uribe, Alejandro
1993
Wavelets and quantum mechanics. Zbl 0796.35140
Paul, T.; Seip, K.
1992
Sur la formule semi-classique des traces. (On the semi-classical trace formula). Zbl 0738.58046
Paul, Thierry; Uribe, Alejandro
1991
Time-frequency localisation operators - a geometric phase space approach: II. The use of dilations. Zbl 0701.42004
Daubechies, Ingrid; Paul, Thierry
1988
The Schrödinger equation and canonical perturbation theory. Zbl 0622.35071
Graffi, Sandro; Paul, Thierry
1987
Wiener measures for path integrals with affine kinematic variables. Zbl 0615.58008
Daubechies, Ingrid; Klauder, John R.; Paul, Thierry
1987
Transforms associated to square integrable group representations. II: Examples. Zbl 0601.22001
Grossmann, A.; Morlet, J.; Paul, T.
1986
Transforms associated to square integrable group representations. I: General results. Zbl 0571.22021
Grossmann, A.; Morlet, J.; Paul, T.
1985
all top 5

#### Cited by 607 Authors

 43 Paul, Thierry 15 Markowich, Peter Alexander 13 Uribe, Alejandro 12 Golse, François 11 Mejjaoli, Hatem 10 Pinaud, Olivier 9 Athanassoulis, Agisillaos 9 Bal, Guillaume 9 Camus, Brice 9 Jin, Shi 9 Pulvirenti, Mario 8 Bambusi, Dario 8 Fermanian-Kammerer, Clotilde 8 Ryzhik, Lenya 8 Sparber, Christof 7 Ali, Syed Twareque 7 Graffi, Sandro 7 Zanelli, Lorenzo 6 Antoine, Jean-Pierre 6 Barron, Tatyana 6 Ben Abdallah, Naoufel 6 Holschneider, Matthias 6 Mauser, Norbert Julius 6 Perthame, Benoît 5 Ammari, Zied 5 Bardos, Claude Williams 5 Castella, François 5 Führ, Hartmut 5 Klauder, John Rider 5 Macià, Fabricio 5 Nier, Francis 5 Paoletti, Roberto 5 Trimèche, Khalifa 5 Vũ Ngọc, San 4 Ambrosio, Luigi 4 Ben Hamadi, Nadia 4 Calixto, Manuel 4 Charles, Laurent 4 Cheverry, Christophe 4 Degond, Pierre 4 Duits, Remco 4 Figalli, Alessio 4 Gallagher, Isabelle 4 Komorowski, Tomasz 4 Le Floch, Yohann 4 Lewin, Mathieu 4 López, José Luis 4 Parmeggiani, Alberto 4 Pelayo, Alvaro 4 Porta, Marcello 4 Saffirio, Chiara 4 Saint-Raymond, Laure 4 Sauzin, David 4 Torrésani, Bruno S. 4 Yang, Xu 3 Aniello, Paolo 3 Arnold, Anton 3 Borthwick, David 3 Cardin, Franco 3 Carles, Rémi 3 Cassanas, Roch 3 Dahlke, Stephan 3 Daubechies, Ingrid Chantal 3 De Mari, Filippo 3 De Vito, Ernesto 3 Feichtinger, Hans Georg 3 Giannoulis, Johannes 3 Gomez, Christophe 3 Gröchenig, Karlheinz 3 Guerrero, Julio 3 Guillemin, Victor W. 3 Hall, Brian C. 3 Keppeler, Stefan 3 Kutyniok, Gitta 3 Lasser, Caroline 3 Lazar, Martin 3 Liu, Hailiang 3 Maspero, Alberto 3 Méhats, Florian 3 Mirzaee, Monir 3 Omri, Slim 3 Petrat, Sören 3 Popov, Georgi St. 3 Poupaud, Frédéric 3 Puel, Marjolaine 3 Runborg, Olof 3 Schlein, Benjamin 3 Soler, Juan S. 3 Speckbacher, Michael 3 Vandergheynst, Pierre 3 Voigtlaender, Felix 3 Wang, Zuoqin 3 Wong, Man Wah 3 Yang, George K. 3 Zelditch, Steve 3 Zhou, Zhennan 2 Abreu, Luís Daniel 2 Albeverio, Sergio A. 2 Amri, Besma 2 Antonić, Nenad ...and 507 more Authors
all top 5

#### Cited in 153 Serials

 67 Journal of Mathematical Physics 35 Communications in Mathematical Physics 30 Journal of Functional Analysis 18 Communications in Partial Differential Equations 16 Archive for Rational Mechanics and Analysis 15 Journal of Statistical Physics 15 Applied and Computational Harmonic Analysis 13 Annales de l’Institut Henri Poincaré. Physique Théorique 13 The Journal of Fourier Analysis and Applications 12 International Journal of Wavelets, Multiresolution and Information Processing 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Journal of Computational Physics 10 Journal of Mathematical Analysis and Applications 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Letters in Mathematical Physics 8 Journal of Differential Equations 7 Duke Mathematical Journal 7 Transactions of the American Mathematical Society 7 Journal of Pseudo-Differential Operators and Applications 6 Proceedings of the American Mathematical Society 5 Applicable Analysis 5 Communications on Pure and Applied Mathematics 5 Annales de l’Institut Fourier 5 Applied Mathematics Letters 5 Discrete and Continuous Dynamical Systems 4 Transport Theory and Statistical Physics 4 Wave Motion 4 Monatshefte für Mathematik 4 Physica D 4 The Journal of Geometric Analysis 4 SIAM Journal on Mathematical Analysis 4 Integral Transforms and Special Functions 4 Annales Henri Poincaré 4 Multiscale Modeling & Simulation 4 Mediterranean Journal of Mathematics 3 Quarterly of Applied Mathematics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Calculus of Variations and Partial Differential Equations 3 Journal of Mathematical Sciences (New York) 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Foundations of Computational Mathematics 3 Foundations of Physics 3 Journal of Physics A: Mathematical and Theoretical 3 Kinetic and Related Models 3 Advances in Mathematical Physics 3 Séminaire Laurent Schwartz. EDP et Applications 2 Nonlinearity 2 Reports on Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Reviews in Mathematical Physics 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Integral Equations and Operator Theory 2 Mathematische Zeitschrift 2 Annals of Global Analysis and Geometry 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Constructive Approximation 2 Revista Matemática Iberoamericana 2 Asymptotic Analysis 2 International Journal of Mathematics 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Geometric and Functional Analysis. GAFA 2 Expositiones Mathematicae 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Mathematical Physics, Analysis and Geometry 2 Journal of the Institute of Mathematics of Jussieu 2 International Journal of Geometric Methods in Modern Physics 2 Journal of Fixed Point Theory and Applications 2 Science China. Mathematics 2 EMS Surveys in Mathematical Sciences 2 Nonlinear Analysis. Theory, Methods & Applications 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Optimization 1 Fundamenta Mathematicae 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Revista de la Unión Matemática Argentina 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields ...and 53 more Serials
all top 5

#### Cited in 53 Fields

 263 Quantum theory (81-XX) 233 Partial differential equations (35-XX) 115 Harmonic analysis on Euclidean spaces (42-XX) 72 Operator theory (47-XX) 70 Statistical mechanics, structure of matter (82-XX) 59 Dynamical systems and ergodic theory (37-XX) 53 Functional analysis (46-XX) 50 Global analysis, analysis on manifolds (58-XX) 47 Differential geometry (53-XX) 38 Numerical analysis (65-XX) 37 Topological groups, Lie groups (22-XX) 35 Abstract harmonic analysis (43-XX) 26 Information and communication theory, circuits (94-XX) 23 Probability theory and stochastic processes (60-XX) 20 Integral transforms, operational calculus (44-XX) 20 Mechanics of particles and systems (70-XX) 18 Fluid mechanics (76-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Ordinary differential equations (34-XX) 14 Optics, electromagnetic theory (78-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Mechanics of deformable solids (74-XX) 7 Special functions (33-XX) 7 Approximations and expansions (41-XX) 6 Computer science (68-XX) 5 Measure and integration (28-XX) 5 Functions of a complex variable (30-XX) 5 Integral equations (45-XX) 5 Manifolds and cell complexes (57-XX) 5 Statistics (62-XX) 5 Relativity and gravitational theory (83-XX) 4 Algebraic geometry (14-XX) 4 Group theory and generalizations (20-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX)