# zbMATH — the first resource for mathematics

## Branson, Thomas Patrick

Compute Distance To:
 Author ID: branson.thomas-p Published as: Branson, T.; Branson, T. P.; Branson, Thomas; Branson, Thomas P. External Links: MGP · Wikidata
 Documents Indexed: 81 Publications since 1981, including 5 Books Biographic References: 2 Publications
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#### Co-Authors

 26 single-authored 15 Gilkey, Peter B. 10 Ørsted, Bent 8 Gover, Ashwin Rod 8 Ólafsson, Gestur 5 Hijazi, Oussama 3 Vassilevich, Dmitri V. 2 Avramidi, Ivan G. 2 Bourguignon, Jean-Pierre 2 Hong, Doojin 2 Pasquale, Angela 2 Pierzchalski, Antoni 2 Schlichtkrull, Henrik 1 Arveson, William Barnes 1 Bennett, Collin 1 Blažić, Novica 1 Bokan, Neda 1 Čap, Andreas 1 Chamseddine, Ali Hani 1 Chang, Sun-Yung Alice 1 Choi, Yang Ho 1 Eastwood, Michael G. 1 Fontana, Luigi 1 Fulling, Stephen A. 1 Kirsten, Klaus 1 Kosmann-Schwarzbach, Yvette 1 Morpurgo, Carlo 1 Pohjanpelto, Juha 1 Rodgers, Vincent G. J. 1 Segal, Irving Ezra 1 Stanton, Robert J. 1 Steeb, Willi-Hans 1 Villanueva, Alfredo 1 Yang, Paul C. P. 1 Yasuda, Takeshi
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#### Serials

 7 Journal of Functional Analysis 5 Proceedings of the American Mathematical Society 4 International Journal of Mathematics 3 Transactions of the American Mathematical Society 3 Differential Geometry and its Applications 3 Communications in Partial Differential Equations 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Journal of Geometry and Physics 2 Journal of Differential Geometry 2 Mathematica Scandinavica 2 Acta Applicandae Mathematicae 2 Indagationes Mathematicae. New Series 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 International Journal of Modern Physics A 1 Archive for Rational Mechanics and Analysis 1 Houston Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Archivum Mathematicum 1 Compositio Mathematica 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Quarterly of Applied Mathematics 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Journal of Physics A: Mathematical and General 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Calculus of Variations and Partial Differential Equations 1 Advances in Applied Clifford Algebras 1 Journal of Lie Theory 1 Mathematical Research Letters 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Contemporary Mathematics 1 Proceedings of Symposia in Pure Mathematics 1 Séminaires et Congrès
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#### Fields

 50 Global analysis, analysis on manifolds (58-XX) 47 Differential geometry (53-XX) 22 Partial differential equations (35-XX) 12 Topological groups, Lie groups (22-XX) 9 Abstract harmonic analysis (43-XX) 8 Quantum theory (81-XX) 5 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

69 Publications have been cited 997 times in 592 Documents Cited by Year
Differential operators canonically associated to a conformal structure. Zbl 0596.53009
Branson, Thomas P.
1985
Sharp inequalities, the functional determinant, and the complementary series. Zbl 0848.58047
Branson, Thomas P.
1995
Group representations arising from Lorentz conformal geometry. Zbl 0643.58036
Branson, Thomas P.
1987
The asymptotics of the Laplacian on a manifold with boundary. Zbl 0721.58052
Branson, Thomas P.; Gilkey, Peter B.
1990
Estimates and extremals for zeta function determinants on four-manifolds. Zbl 0761.58053
Branson, Thomas P.; Chang, Sun-Yung A.; Yang, Paul C.
1992
Moser-Trudinger and Beckner-Onofri’s inequalities on the CR sphere. Zbl 1334.35366
Branson, Thomas P.; Fontana, Luigi; Morpurgo, Carlo
2013
Explicit functional determinants in four dimensions. Zbl 0762.47019
Branson, Thomas P.; Ørsted, Bent
1991
Conformally covariant equations on differential forms. Zbl 0532.53021
Branson, Thomas P.
1982
Stein-Weiss operators and ellipticity. Zbl 0904.58054
Branson, Thomas
1997
Prolongations of geometric overdetermined systems. Zbl 1101.35060
Branson, Thomas; Čap, Andreas; Eastwood, Michael; Gover, A. Rod
2006
Conformally invariant operators, differential forms, cohomology and a generalisation of Q-curvature. Zbl 1226.58011
Branson, Thomas; Gover, A. Rod
2005
The functional determinant. Zbl 0827.58057
Branson, Thomas P.
1993
Kato constants in Riemannian geometry. Zbl 1039.53033
Branson, T.
2000
Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup. Zbl 0841.22011
Branson, Thomas; Ólafsson, Gestur; Ørsted, Bent
1996
Conformal geometry and global invariants. Zbl 0785.53025
Branson, Thomas P.; Ørsted, Bent
1991
Conformal indices of Riemannian manifolds. Zbl 0608.58039
Branson, Thomas P.; Örsted, Bent
1986
Residues of the eta function for an operator of Dirac type. Zbl 0756.58048
Branson, Thomas P.; Gilkey, Peter B.
1992
Variational status of a class of fully nonlinear curvature prescription problems. Zbl 1147.53029
Branson, Thomas P.; Gover, A. Rod
2008
Heat kernel asymptotics with mixed boundary conditions. Zbl 0955.58021
Branson, Thomas P.; Gilkey, Peter B.; Kirsten, Klaus; Vassilevich, Dmitri V.
1999
$$Q$$-curvature and spectral invariants. Zbl 1101.53016
Branson, Thomas
2005
Second order conformal covariants. Zbl 0890.47030
Branson, Thomas
1998
The functional determinant of a four-dimensional boundary value problem. Zbl 0811.58060
Branson, Thomas P.; Gilkey, Peter B.
1994
Pontrjagin forms and invariant objects related to the $$Q$$-curvature. Zbl 1125.53024
Branson, Thomas; Gover, A. Rod
2007
Leading terms in the heat invariants. Zbl 0723.47041
Branson, Thomas P.; Gilkey, Peter B.; Ørsted, Bent
1990
The Paley-Wiener theorem and the local Huygens’ principle for compact symmetric spaces: the even multiplicity case. Zbl 1113.53034
Branson, Thomas; Ólafsson, Gestur; Pasquale, Angela
2005
Invariants of locally conformally flat manifolds. Zbl 0820.53022
Branson, Thomas; Gilkey, Peter; Pohjanpelto, Juha
1995
Residues of the eta function for an operator of Dirac type with local boundary conditions. Zbl 0742.58054
Branson, Thomas P.; Gilkey, Peter B.
1992
Conformally invariant non-local operators. Zbl 1052.58026
Branson, Thomas; Gover, A. Rod
2001
Huygens’ principle in Riemannian symmetric spaces. Zbl 0822.43002
Branson, T.; Ólafsson, G.; Schlichtkrull, H.
1995
Harmonic analysis in vector bundles associated to the rotation and spin groups. Zbl 0778.58066
Branson, Thomas P.
1992
Electromagnetism, metric deformations, ellipticity and gauge operators on conformal 4-manifolds. Zbl 1025.58008
Branson, Thomas; Gover, A. Rod
2002
Heat kernel asymptotics of operators with non-Laplace principal part. Zbl 1031.58015
Avramidi, Ivan G.; Branson, Thomas
2001
The asymptotics of the Laplacian on a manifold with boundary. II. Zbl 0920.58050
Branson, Thomas P.; Gilkey, Peter B.; Vassilevich, Dmitri V.
1997
An anomaly associated with 4-dimensional quantum gravity. Zbl 0864.53066
Branson, Thomas
1996
Heat equation asymptotics of “nonminimal” operators on differential forms. Zbl 0778.58062
Gilkey, Peter B.; Branson, Thomas P.; Fulling, Stephen A.
1991
Equipartition of energy for waves in symmetric space. Zbl 0796.43006
Branson, Thomas P.; Ólafsson, Gestur
1991
The Paley-Wiener theorem for the Jacobi transform and the local Huygens’ principle for root systems with even multiplicities. Zbl 1168.43302
Branson, Thomas; Ólafsson, Gestur; Pasquale, Angela
2005
Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary. Zbl 0924.58101
Branson, Thomas P.; Gilkey, Peter B.; Vassilevich, Dmitri V.
1998
A bundle valued Radon transform, with applications to invariant wave equations. Zbl 0924.43010
Branson, Thomas P.; Ólafsson, Gestur; Schlichtkrull, Henrik
1994
Conformal deformation and the heat operator. Zbl 0646.53041
Branson, Thomas P.; Ørsted, Bent
1988
The conformal deformation detour complex for the obstruction tensor. Zbl 1126.53023
Branson, Thomas P.; Gover, A. Rod
2007
Conformal structure and spin geometry. Zbl 1109.53051
Branson, Thomas
2005
Bochner-Weitzenböck formulas associated with the Rarita-Schwinger operator. Zbl 1109.53306
Branson, Thomas; Hijazi, Oussama
2002
Vanishing theorems and eigenvalue estimates in Riemannian spin geometry. Zbl 0897.58005
Branson, Thomas; Hijazi, Oussama
1997
Nonlinear phenomena in the spectral theory of geometric linear differential operators. Zbl 0857.58042
Branson, Thomas
1996
Leading terms in the heat invariants for the Laplacians of the de Rham signature and spin complexes. Zbl 0692.58034
Branson, T. P.; Gilkey, P. B.; Ørsted, B.
1990
Conformal transformation, conformal change, and conformal covariants. Zbl 0678.53025
Branson, Thomas P.
1989
A discrete leading symbol and spectral asymptotics for natural differential operators. Zbl 1024.58016
Avramidi, Ivan; Branson, Thomas
2002
Interactions of a string inspired graviton field. Zbl 0982.83031
Branson, Thomas P.; Rodgers, V. G. J.; Yasuda, Takeshi
2000
Spectra of self-gradients on spheres. Zbl 1012.22026
Branson, Thomas
1999
Intertwining differential operators for spinor-form representations of the conformal group. Zbl 0551.53025
Branson, Thomas P.
1984
Eventual partition of conserved quantities in wave motion. Zbl 0591.35036
Branson, Thomas P.
1983
Conformally covariant nonlinear equations on tensor-spinors. Zbl 0514.53026
Branson, Thomas P.; Kosmann-Schwarzbach, Yvette
1983
Improved forms of some vanishing theorems in Riemannian spin geometry. Zbl 1110.53305
Branson, Thomas; Hijazi, Oussama
2000
Eventual partition of conserved quantities for Maxwell’s equations. Zbl 0559.35072
Branson, Thomas P.
1984
$$Q$$-curvature, spectral invariants, and representation theory. Zbl 1144.58018
Branson, Thomas P.
2007
A conformally invariant differential operator on Weyl tensor densities. Zbl 1006.53026
Branson, Thomas; Gover, A. Rod
2002
Spectral theory of invariant operators, sharp inequalities, and representation theory. Zbl 0884.58100
Branson, Thomas
1997
Heat equation asymptotics of elliptic operators with non-scalar leading symbol. Zbl 0831.35041
Branson, Thomas P.; Gilkey, Peter B.; Pierzchalski, Antoni
1994
Heat equation asymptotics of a generalized Ahlfors Laplacian on a manifold with boundary. Zbl 0881.58061
Branson, Thomas P.; Gilkey, Peter B.; Ørsted, Bent; Pierzchalski, Antoni
1992
Symmetries of nonlinear diffusion equations. Zbl 0527.35036
Branson, Thomas P.; Steeb, W.-H.
1983
Symplectic structure and conserved quantities for some new conformally covariant systems. Zbl 0521.58029
Branson, Thomas P.
1983
Spontaneous generation of eigenvalues. Zbl 1101.58021
Branson, Thomas; Ørsted, Bent
2006
Curvature actions on Spin$$(n)$$ bundles. Zbl 1221.53081
Bennett, Collin; Branson, Thomas
2001
Helmholtz operators and symmetric space duality. Zbl 0878.35031
Branson, Thomas; Ólafsson, Gestur
1997
The functional determinant in the standard conformal class on four dimensional balls and spherical shells. Zbl 0856.58043
Branson, Thomas P.; Gilkey, Peter B.
1996
Generalized gradients and asymptotics of the functional trace. Zbl 0662.53038
Branson, Thomas P.; Ørsted, Bent
1989
Conserved quantity partition for Dirac’s equation. Zbl 0551.35081
Branson, Thomas P.
1984
Quasi-invariance of the Yang-Mills equations under conformal transformations and conformal vector fields. Zbl 0509.53023
Branson, Thomas P.
1981
Moser-Trudinger and Beckner-Onofri’s inequalities on the CR sphere. Zbl 1334.35366
Branson, Thomas P.; Fontana, Luigi; Morpurgo, Carlo
2013
Variational status of a class of fully nonlinear curvature prescription problems. Zbl 1147.53029
Branson, Thomas P.; Gover, A. Rod
2008
Pontrjagin forms and invariant objects related to the $$Q$$-curvature. Zbl 1125.53024
Branson, Thomas; Gover, A. Rod
2007
The conformal deformation detour complex for the obstruction tensor. Zbl 1126.53023
Branson, Thomas P.; Gover, A. Rod
2007
$$Q$$-curvature, spectral invariants, and representation theory. Zbl 1144.58018
Branson, Thomas P.
2007
Prolongations of geometric overdetermined systems. Zbl 1101.35060
Branson, Thomas; Čap, Andreas; Eastwood, Michael; Gover, A. Rod
2006
Spontaneous generation of eigenvalues. Zbl 1101.58021
Branson, Thomas; Ørsted, Bent
2006
Conformally invariant operators, differential forms, cohomology and a generalisation of Q-curvature. Zbl 1226.58011
Branson, Thomas; Gover, A. Rod
2005
$$Q$$-curvature and spectral invariants. Zbl 1101.53016
Branson, Thomas
2005
The Paley-Wiener theorem and the local Huygens’ principle for compact symmetric spaces: the even multiplicity case. Zbl 1113.53034
Branson, Thomas; Ólafsson, Gestur; Pasquale, Angela
2005
The Paley-Wiener theorem for the Jacobi transform and the local Huygens’ principle for root systems with even multiplicities. Zbl 1168.43302
Branson, Thomas; Ólafsson, Gestur; Pasquale, Angela
2005
Conformal structure and spin geometry. Zbl 1109.53051
Branson, Thomas
2005
Electromagnetism, metric deformations, ellipticity and gauge operators on conformal 4-manifolds. Zbl 1025.58008
Branson, Thomas; Gover, A. Rod
2002
Bochner-Weitzenböck formulas associated with the Rarita-Schwinger operator. Zbl 1109.53306
Branson, Thomas; Hijazi, Oussama
2002
A discrete leading symbol and spectral asymptotics for natural differential operators. Zbl 1024.58016
Avramidi, Ivan; Branson, Thomas
2002
A conformally invariant differential operator on Weyl tensor densities. Zbl 1006.53026
Branson, Thomas; Gover, A. Rod
2002
Conformally invariant non-local operators. Zbl 1052.58026
Branson, Thomas; Gover, A. Rod
2001
Heat kernel asymptotics of operators with non-Laplace principal part. Zbl 1031.58015
Avramidi, Ivan G.; Branson, Thomas
2001
Curvature actions on Spin$$(n)$$ bundles. Zbl 1221.53081
Bennett, Collin; Branson, Thomas
2001
Kato constants in Riemannian geometry. Zbl 1039.53033
Branson, T.
2000
Interactions of a string inspired graviton field. Zbl 0982.83031
Branson, Thomas P.; Rodgers, V. G. J.; Yasuda, Takeshi
2000
Improved forms of some vanishing theorems in Riemannian spin geometry. Zbl 1110.53305
Branson, Thomas; Hijazi, Oussama
2000
Heat kernel asymptotics with mixed boundary conditions. Zbl 0955.58021
Branson, Thomas P.; Gilkey, Peter B.; Kirsten, Klaus; Vassilevich, Dmitri V.
1999
Spectra of self-gradients on spheres. Zbl 1012.22026
Branson, Thomas
1999
Second order conformal covariants. Zbl 0890.47030
Branson, Thomas
1998
Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary. Zbl 0924.58101
Branson, Thomas P.; Gilkey, Peter B.; Vassilevich, Dmitri V.
1998
Stein-Weiss operators and ellipticity. Zbl 0904.58054
Branson, Thomas
1997
The asymptotics of the Laplacian on a manifold with boundary. II. Zbl 0920.58050
Branson, Thomas P.; Gilkey, Peter B.; Vassilevich, Dmitri V.
1997
Vanishing theorems and eigenvalue estimates in Riemannian spin geometry. Zbl 0897.58005
Branson, Thomas; Hijazi, Oussama
1997
Spectral theory of invariant operators, sharp inequalities, and representation theory. Zbl 0884.58100
Branson, Thomas
1997
Helmholtz operators and symmetric space duality. Zbl 0878.35031
Branson, Thomas; Ólafsson, Gestur
1997
Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup. Zbl 0841.22011
Branson, Thomas; Ólafsson, Gestur; Ørsted, Bent
1996
An anomaly associated with 4-dimensional quantum gravity. Zbl 0864.53066
Branson, Thomas
1996
Nonlinear phenomena in the spectral theory of geometric linear differential operators. Zbl 0857.58042
Branson, Thomas
1996
The functional determinant in the standard conformal class on four dimensional balls and spherical shells. Zbl 0856.58043
Branson, Thomas P.; Gilkey, Peter B.
1996
Sharp inequalities, the functional determinant, and the complementary series. Zbl 0848.58047
Branson, Thomas P.
1995
Invariants of locally conformally flat manifolds. Zbl 0820.53022
Branson, Thomas; Gilkey, Peter; Pohjanpelto, Juha
1995
Huygens’ principle in Riemannian symmetric spaces. Zbl 0822.43002
Branson, T.; Ólafsson, G.; Schlichtkrull, H.
1995
The functional determinant of a four-dimensional boundary value problem. Zbl 0811.58060
Branson, Thomas P.; Gilkey, Peter B.
1994
A bundle valued Radon transform, with applications to invariant wave equations. Zbl 0924.43010
Branson, Thomas P.; Ólafsson, Gestur; Schlichtkrull, Henrik
1994
Heat equation asymptotics of elliptic operators with non-scalar leading symbol. Zbl 0831.35041
Branson, Thomas P.; Gilkey, Peter B.; Pierzchalski, Antoni
1994
The functional determinant. Zbl 0827.58057
Branson, Thomas P.
1993
Estimates and extremals for zeta function determinants on four-manifolds. Zbl 0761.58053
Branson, Thomas P.; Chang, Sun-Yung A.; Yang, Paul C.
1992
Residues of the eta function for an operator of Dirac type. Zbl 0756.58048
Branson, Thomas P.; Gilkey, Peter B.
1992
Residues of the eta function for an operator of Dirac type with local boundary conditions. Zbl 0742.58054
Branson, Thomas P.; Gilkey, Peter B.
1992
Harmonic analysis in vector bundles associated to the rotation and spin groups. Zbl 0778.58066
Branson, Thomas P.
1992
Heat equation asymptotics of a generalized Ahlfors Laplacian on a manifold with boundary. Zbl 0881.58061
Branson, Thomas P.; Gilkey, Peter B.; Ørsted, Bent; Pierzchalski, Antoni
1992
Explicit functional determinants in four dimensions. Zbl 0762.47019
Branson, Thomas P.; Ørsted, Bent
1991
Conformal geometry and global invariants. Zbl 0785.53025
Branson, Thomas P.; Ørsted, Bent
1991
Heat equation asymptotics of “nonminimal” operators on differential forms. Zbl 0778.58062
Gilkey, Peter B.; Branson, Thomas P.; Fulling, Stephen A.
1991
Equipartition of energy for waves in symmetric space. Zbl 0796.43006
Branson, Thomas P.; Ólafsson, Gestur
1991
The asymptotics of the Laplacian on a manifold with boundary. Zbl 0721.58052
Branson, Thomas P.; Gilkey, Peter B.
1990
Leading terms in the heat invariants. Zbl 0723.47041
Branson, Thomas P.; Gilkey, Peter B.; Ørsted, Bent
1990
Leading terms in the heat invariants for the Laplacians of the de Rham signature and spin complexes. Zbl 0692.58034
Branson, T. P.; Gilkey, P. B.; Ørsted, B.
1990
Conformal transformation, conformal change, and conformal covariants. Zbl 0678.53025
Branson, Thomas P.
1989
Generalized gradients and asymptotics of the functional trace. Zbl 0662.53038
Branson, Thomas P.; Ørsted, Bent
1989
Conformal deformation and the heat operator. Zbl 0646.53041
Branson, Thomas P.; Ørsted, Bent
1988
Group representations arising from Lorentz conformal geometry. Zbl 0643.58036
Branson, Thomas P.
1987
Conformal indices of Riemannian manifolds. Zbl 0608.58039
Branson, Thomas P.; Örsted, Bent
1986
Differential operators canonically associated to a conformal structure. Zbl 0596.53009
Branson, Thomas P.
1985
Intertwining differential operators for spinor-form representations of the conformal group. Zbl 0551.53025
Branson, Thomas P.
1984
Eventual partition of conserved quantities for Maxwell’s equations. Zbl 0559.35072
Branson, Thomas P.
1984
Conserved quantity partition for Dirac’s equation. Zbl 0551.35081
Branson, Thomas P.
1984
Eventual partition of conserved quantities in wave motion. Zbl 0591.35036
Branson, Thomas P.
1983
Conformally covariant nonlinear equations on tensor-spinors. Zbl 0514.53026
Branson, Thomas P.; Kosmann-Schwarzbach, Yvette
1983
Symmetries of nonlinear diffusion equations. Zbl 0527.35036
Branson, Thomas P.; Steeb, W.-H.
1983
Symplectic structure and conserved quantities for some new conformally covariant systems. Zbl 0521.58029
Branson, Thomas P.
1983
Conformally covariant equations on differential forms. Zbl 0532.53021
Branson, Thomas P.
1982
Quasi-invariance of the Yang-Mills equations under conformal transformations and conformal vector fields. Zbl 0509.53023
Branson, Thomas P.
1981
all top 5

#### Cited by 581 Authors

 41 Branson, Thomas Patrick 34 Gover, Ashwin Rod 20 Gilkey, Peter B. 14 Kirsten, Klaus 14 Ørsted, Bent 13 Yang, Paul C. P. 12 Case, Jeffrey S. 12 Ólafsson, Gestur 11 Vassilevich, Dmitri V. 10 Chang, Sun-Yung Alice 8 Eelbode, David 8 Šilhan, Josef 8 Xu, Xingwang 7 Homma, Yasushi 7 Iochum, Bruno 7 Juhl, Andreas 7 Waldron, Andrew K. 6 Li, YanYan 6 Lu, Guozhen 6 Malchiodi, Andrea 6 Pasquale, Angela 6 Somberg, Petr 6 Wei, Juncheng 6 Xiong, Jingang 5 Benalili, Mohammed 5 Čap, Andreas 5 Connes, Alain 5 Frahm, Jan 5 Hammerl, Matthias 5 Hebey, Emmanuel 5 Maalaoui, Ali 5 Morpurgo, Carlo 5 Rosca, Radu M. 5 Santra, Sanjiban 5 Soucek, Vladimir 5 Wünsch, Volkmar 4 Avramidi, Ivan G. 4 Awonusika, Richard Olu 4 Djadli, Zindine 4 Dobrev, Vladimir K. 4 Gursky, Matthew J. 4 Hirachi, Kengo 4 Ho, Pak Tung 4 Lin, Yueh-Ju 4 Loya, Paul A. 4 Martinazzi, Luca 4 Oz, Yaron 4 Pilca, Mihaela 4 Qing, Jie 4 Raeymaekers, Tim 4 Robert, Frédéric 4 Rodgers, Vincent G. J. 4 Schlichtkrull, Henrik 4 van den Berg, Michiel 4 Zhang, An 3 Alexakis, Spyros 3 Bordag, Michael 3 Boughazi, Hichem 3 Brackx, Fred F. 3 Calderbank, David M. J. 3 Camporesi, Roberto 3 Chamseddine, Ali Hani 3 Chtioui, Hichem 3 Díaz, D. E. 3 Dowker, J. Stuart 3 Eastwood, Michael G. 3 Fathizadeh, Farzad 3 Fontana, Luigi 3 Frank, Rupert L. 3 Fu, Haiping 3 Gates, Sylvester James jun. 3 Grubb, Gerd 3 Guo, Yuxia 3 Hang, Fengbo 3 Jakobson, Dmitry 3 Jin, Tianling 3 Levy, Cyril 3 Levy, Tom 3 Liu, Chungen 3 Liu, Heping 3 Masson, Thierry 3 Matsumoto, Yoshihiko 3 Monnier, Samuel 3 Monticelli, Dario Daniele 3 Moroianu, Sergiu 3 Ndiaye, Cheikh Birahim 3 Ould Ahmedou, Mohameden 3 Pedon, Emmanuel 3 Pevzner, Michael 3 Pierzchalski, Antoni 3 Ponge, Raphaël S. 3 Roels, Matthias 3 Semmelmann, Uwe 3 Stepanov, Sergeĭ Evgen’evich 3 Stergiou, Andreas 3 Tahri, Kamel 3 Tod, Paul 3 Tolksdorf, Jürgen 3 van de Voorde, Liesbet 3 Wang, Jian ...and 481 more Authors
all top 5

#### Cited in 139 Serials

 35 Advances in Mathematics 35 Journal of Functional Analysis 28 Journal of Geometry and Physics 27 Communications in Mathematical Physics 27 Journal of Mathematical Physics 24 Journal of High Energy Physics 21 Calculus of Variations and Partial Differential Equations 17 Differential Geometry and its Applications 14 Proceedings of the American Mathematical Society 11 Journal of Differential Equations 11 International Journal of Mathematics 11 The Journal of Geometric Analysis 10 Annals of Global Analysis and Geometry 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Transactions of the American Mathematical Society 9 Communications in Partial Differential Equations 8 Nuclear Physics. B 8 Duke Mathematical Journal 7 Mathematische Annalen 7 Mathematische Zeitschrift 7 Communications in Contemporary Mathematics 6 Letters in Mathematical Physics 6 Acta Applicandae Mathematicae 6 Advances in Applied Clifford Algebras 6 Journal of the European Mathematical Society (JEMS) 6 Complex Variables and Elliptic Equations 5 Journal of Mathematical Analysis and Applications 5 Physics Letters. B 5 Annales de l’Institut Fourier 5 Manuscripta Mathematica 5 Mathematische Nachrichten 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Potential Analysis 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Reviews in Mathematical Physics 4 Journal für die Reine und Angewandte Mathematik 4 Pacific Journal of Mathematics 4 Geometric and Functional Analysis. GAFA 4 Indagationes Mathematicae. New Series 4 NoDEA. Nonlinear Differential Equations and Applications 4 Discrete and Continuous Dynamical Systems 4 The Journal of Fourier Analysis and Applications 4 Acta Mathematica Sinica. English Series 3 International Journal of Modern Physics A 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Inventiones Mathematicae 3 Chinese Annals of Mathematics. Series B 3 Bulletin of the American Mathematical Society. New Series 3 Annales Mathématiques Blaise Pascal 3 Annals of Mathematics. Second Series 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 International Journal of Geometric Methods in Modern Physics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Complex Analysis and Operator Theory 3 Journal of Noncommutative Geometry 2 Archive for Rational Mechanics and Analysis 2 Classical and Quantum Gravity 2 Communications on Pure and Applied Mathematics 2 Journal d’Analyse Mathématique 2 Rocky Mountain Journal of Mathematics 2 Compositio Mathematica 2 Geometriae Dedicata 2 Journal of Approximation Theory 2 Rendiconti del Seminario Matematico della Università di Padova 2 Results in Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Bulletin des Sciences Mathématiques 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Conformal Geometry and Dynamics 2 Annales Henri Poincaré 2 Physical Review Letters 2 Journal of the Australian Mathematical Society 2 Communications on Pure and Applied Analysis 2 Journal of Physics A: Mathematical and Theoretical 2 Analysis & PDE 2 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Bulletin of the Australian Mathematical Society 1 General Relativity and Gravitation 1 Mathematical Notes 1 Physics Letters. A 1 Ukrainian Mathematical Journal 1 Fortschritte der Physik 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Dissertationes Mathematicae 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Computational and Applied Mathematics 1 Journal of Number Theory 1 Journal of Soviet Mathematics 1 Mathematika 1 Memoirs of the American Mathematical Society ...and 39 more Serials
all top 5

#### Cited in 45 Fields

 293 Differential geometry (53-XX) 257 Global analysis, analysis on manifolds (58-XX) 187 Partial differential equations (35-XX) 91 Quantum theory (81-XX) 44 Topological groups, Lie groups (22-XX) 43 Relativity and gravitational theory (83-XX) 34 Functional analysis (46-XX) 33 Abstract harmonic analysis (43-XX) 26 Several complex variables and analytic spaces (32-XX) 24 Operator theory (47-XX) 19 Nonassociative rings and algebras (17-XX) 19 Real functions (26-XX) 17 Special functions (33-XX) 17 Manifolds and cell complexes (57-XX) 16 Functions of a complex variable (30-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 10 Ordinary differential equations (34-XX) 9 Number theory (11-XX) 9 Integral equations (45-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Potential theory (31-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Algebraic geometry (14-XX) 5 Algebraic topology (55-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Probability theory and stochastic processes (60-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 3 Astronomy and astrophysics (85-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 $$K$$-theory (19-XX) 2 Group theory and generalizations (20-XX) 2 Approximations and expansions (41-XX) 2 Geometry (51-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX)

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