# zbMATH — the first resource for mathematics

## Roberts, John Elias

Compute Distance To:
 Author ID: roberts.john-elias Published as: Roberts, J. E.; Roberts, John; Roberts, John E. External Links: MGP · Wikidata
 Documents Indexed: 60 Publications since 1966, including 1 Book Biographic References: 1 Publication
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#### Co-Authors

 18 single-authored 20 Doplicher, Sergio 8 Pinzari, Claudia 7 Buchholz, Detlev 6 Longo, Roberto 3 Haag, Rudolf 3 Morchio, Giovanni 3 Ruzzi, Giuseppe 3 Strocchi, Franco 2 Ghez, P. 2 Tuset, Lars 2 Vasselli, Ezio 2 Zsidó, Lászlo 1 Ceccherini-Silberstein, Tullio G. 1 Conti, Roberto 1 Druhl, K. J. 1 Fredenhagen, Klaus 1 Guido, Daniele 1 Leyland, Paul C. 1 Lima, Renan 1 Lima, Rui 1 Lüders, Christian 1 Müger, Michael 1 Roepstorff, Gert 1 Verch, Rainer
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#### Serials

 18 Communications in Mathematical Physics 4 Reviews in Mathematical Physics 3 Journal of Functional Analysis 3 International Journal of Mathematics 2 Journal of Operator Theory 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Pacific Journal of Mathematics 1 $$K$$-Theory 1 Annals of Physics 1 Bulletin of the American Mathematical Society. New Series 1 Theory and Applications of Categories 1 Algebras and Representation Theory 1 Annals of Mathematics. Second Series 1 Proceedings of the Cambridge Philosophical Society 1 Journal of Noncommutative Geometry 1 Kyoto Journal of Mathematics
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#### Fields

 42 Functional analysis (46-XX) 30 Quantum theory (81-XX) 7 Category theory; homological algebra (18-XX) 6 Topological groups, Lie groups (22-XX) 5 Differential geometry (53-XX) 3 Nonassociative rings and algebras (17-XX) 3 Abstract harmonic analysis (43-XX) 3 Operator theory (47-XX) 3 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Associative rings and algebras (16-XX) 2 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH

54 Publications have been cited 1,268 times in 807 Documents Cited by Year
The quantum structure of spacetime of the Planck scale and quantum fields. Zbl 0847.53051
Doplicher, Sergio; Fredenhagen, Klaus; Roberts, John E.
1995
Fields, observables and gauge transformations. I. Zbl 0175.24704
Doplicher, S.; Haag, Rudolf; Roberts, J. E.
1969
Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics. Zbl 0734.46042
Doplicher, Sergio; Roberts, John E.
1990
A new duality theory for compact groups. Zbl 0691.22002
Doplicher, Sergio; Roberts, John E.
1989
A theory of dimension. Zbl 0874.18005
Longo, R.; Roberts, J. E.
1997
Endomorphisms of $$C^*$$-algebras, cross products and duality for compact groups. Zbl 0702.46044
Doplicher, Sergio; Roberts, John E.
1989
Fields, observables and gauge transformations. II. Zbl 0186.58205
Doplicher, S.; Haag, R.; Roberts, J. E.
1969
$$W^ *$$-categories. Zbl 0609.46033
Ghez, P.; Lima, R.; Roberts, J. E.
1985
Duals of compact Lie groups realized in the Cuntz algebras and their actions on $$C^ *$$-algebras. Zbl 0619.46053
Doplicher, Sergio; Roberts, John E.
1987
Charged sectors, spin and statistics in quantum field theory on curved spacetimes. Zbl 1029.81052
Guido, D.; Longo, R.; Roberts, J. E.; Verch, R.
2001
Rigged Hilbert spaces in quantum mechanics. Zbl 0144.23404
Roberts, J. E.
1966
Local quasiequivalence and adiabatic vacuum states. Zbl 0749.46045
Lüders, Christian; Roberts, John E.
1990
Local cohomology and superselection structure. Zbl 0334.53033
Roberts, John E.
1976
Some basic concepts of algebraic quantum theory. Zbl 0167.55806
Roberts, J. E.; Roepstorff, G.
1969
New light on infrared problems: sectors, statistics, symmetries and spectrum. Zbl 1296.81044
Buchholz, Detlev; Roberts, John E.
2014
A new look at Goldstone’s theorem. Zbl 0784.46060
Buchholz, Detlev; Doplicher, Sergio; Longo, Roberto; Roberts, John E.
1992
Cross products of von Neumann algebras by group duals. Zbl 0441.46053
Roberts, John E.
1976
Some applications of dilatation invariance to structural questions in the theory of local observables. Zbl 0292.46031
Roberts, John E.
1974
A characterization of initial functors. Zbl 0172.30904
Roberts, J. E.
1968
A duality theorem for ergodic actions of compact quantum groups on $$C^*$$-algebras. Zbl 1160.46045
Pinzari, Claudia; Roberts, John E.
2008
A remark on quantum group actions and nuclearity. Zbl 1030.46091
Doplicher, S.; Longo, R.; Roberts, J. E.; Zsidó, L.
2002
Compact Lie groups associated with endomorphisms of $$C^*$$-algebras. Zbl 0561.46029
Doplicher, Sergio; Roberts, John E.
1984
Compact group actions on $$C^*$$-algebras. Zbl 0689.46020
Doplicher, Sergio; Roberts, John E.
1988
Net cohomology and its applications to field theory. Zbl 0484.57024
Roberts, John E.
1980
On parastatistics. Zbl 0195.55904
Drühl, K.; Haag, R.; Roberts, J. E.
1970
Mathematical aspects of local cohomology. Zbl 0455.55005
Roberts, John E.
1979
A generalization of the Cuntz algebras and model actions. Zbl 0816.46068
Ceccherini, Tullio; Doplicher, Sergio; Pinzari, Claudia; Roberts, John E.
1994
A theory of bundles over posets. Zbl 1165.81031
Roberts, John E.; Ruzzi, Giuseppe; Vasselli, Ezio
2009
A cohomological description of connections and curvature over posets. Zbl 1114.53019
Roberts, John E.; Ruzzi, Giuseppe
2006
More lectures on algebraic quantum field theory. Zbl 1078.81053
Roberts, J. E.
2004
Superselection theory for subsystems. Zbl 1049.81044
Conti, Roberto; Doplicher, Sergio; Roberts, John E.
2001
Extensions of automorphisms and gauge symmetries. Zbl 0792.46052
Buchholz, Detlev; Doplicher, Sergio; Longo, Roberto; Roberts, John E.
1993
A remark on compact automorphism groups of $$C^*$$-algebras. Zbl 0589.46052
Doplicher, Sergio; Roberts, John E.
1986
A theory of induction and classification of tensor $$C^\ast$$-categories. Zbl 1266.46053
Pinzari, Claudia; Roberts, John E.
2012
A rigidity result for extensions of braided tensor $$C^*$$-categories derived from compact matrix quantum groups. Zbl 1252.46071
Pinzari, Claudia; Roberts, John E.
2011
An algebraic duality theory for multiplicative unitaries. Zbl 1111.46312
Doplicher, Sergio; Pinzari, Claudia; Roberts, John E.
2001
Net bundles over posets and $$K$$-theory. Zbl 1281.19005
Roberts, John E.; Ruzzi, Giuseppe; Vasselli, Ezio
2013
Representations of algebraic quantum groups and reconstruction theorems for tensor categories. Zbl 1098.17012
Müger, M.; Roberts, J. E.; Tuset, L.
2004
Quantum delocalization of the electric charge. Zbl 0989.81140
Buchholz, Detlev; Doplicher, Sergio; Morchio, Giovanni; Roberts, John E.; Strocchi, Franco
2001
A model for charges of electromagnetic type. Zbl 0907.46054
Buchholz, Detlev; Doplicher, Sergio; Morchio, Gianni; Roberts, John E.; Strocchi, Franco
1997
Localization in algebraic field theory. Zbl 0509.47036
Roberts, John E.
1982
The cohomology of nets over Minkowski space. Zbl 0399.58025
Leyland, P.; Roberts, J. E.
1978
Ergodic actions of compact quantum groups from solutions of the conjugate equations. Zbl 06774046
Pinzari, Claudia; Roberts, John E.
2017
Asymptotic abelianness and braided tensor $$C^*$$-categories. Zbl 1170.81034
Buchholz, Detlev; Doplicher, Sergio; Morchio, Giovanni; Roberts, John E.; Strocchi, Franco
2007
Regular objects, multiplicative unitaries and conjugation. Zbl 1057.46058
Pinzari, C.; Roberts, J. E.
2002
On the equality of $$q$$-dimension and intrinsic dimension. Zbl 0974.16034
Roberts, John E.; Tuset, Lars
2001
A survey of local cohomology. Zbl 0449.55009
Roberts, John E.
1978
Statistics and the intertwiner calculus. Zbl 0405.46058
Roberts, J. E.
1976
Bounded perturbations of dynamics. Zbl 0332.47019
Buchholz, D.; Roberts, J. E.
1976
Ergodic actions of $$S_\mu U(2)$$ on $$C^{*}$$-algebras from $$II_{1}$$ subfactors. Zbl 1195.46074
Pinzari, Claudia; Roberts, John E.
2010
The statistical dimension, conjugation and the Jones index. Zbl 0836.46056
Roberts, John E.
1995
The concept of spontaneously broken symmetry and a new approach to Goldstone’s theorem. Zbl 0947.81511
Roberts, John
1992
The spectral category and the Connes invariant $$\Gamma$$. Zbl 0601.46061
Ghez, P.; Lima, R.; Roberts, J. E.
1985
New light on the mathematical structure of algebraic field theory. Zbl 0528.46056
Roberts, John E.
1982
Ergodic actions of compact quantum groups from solutions of the conjugate equations. Zbl 06774046
Pinzari, Claudia; Roberts, John E.
2017
New light on infrared problems: sectors, statistics, symmetries and spectrum. Zbl 1296.81044
Buchholz, Detlev; Roberts, John E.
2014
Net bundles over posets and $$K$$-theory. Zbl 1281.19005
Roberts, John E.; Ruzzi, Giuseppe; Vasselli, Ezio
2013
A theory of induction and classification of tensor $$C^\ast$$-categories. Zbl 1266.46053
Pinzari, Claudia; Roberts, John E.
2012
A rigidity result for extensions of braided tensor $$C^*$$-categories derived from compact matrix quantum groups. Zbl 1252.46071
Pinzari, Claudia; Roberts, John E.
2011
Ergodic actions of $$S_\mu U(2)$$ on $$C^{*}$$-algebras from $$II_{1}$$ subfactors. Zbl 1195.46074
Pinzari, Claudia; Roberts, John E.
2010
A theory of bundles over posets. Zbl 1165.81031
Roberts, John E.; Ruzzi, Giuseppe; Vasselli, Ezio
2009
A duality theorem for ergodic actions of compact quantum groups on $$C^*$$-algebras. Zbl 1160.46045
Pinzari, Claudia; Roberts, John E.
2008
Asymptotic abelianness and braided tensor $$C^*$$-categories. Zbl 1170.81034
Buchholz, Detlev; Doplicher, Sergio; Morchio, Giovanni; Roberts, John E.; Strocchi, Franco
2007
A cohomological description of connections and curvature over posets. Zbl 1114.53019
Roberts, John E.; Ruzzi, Giuseppe
2006
More lectures on algebraic quantum field theory. Zbl 1078.81053
Roberts, J. E.
2004
Representations of algebraic quantum groups and reconstruction theorems for tensor categories. Zbl 1098.17012
Müger, M.; Roberts, J. E.; Tuset, L.
2004
A remark on quantum group actions and nuclearity. Zbl 1030.46091
Doplicher, S.; Longo, R.; Roberts, J. E.; Zsidó, L.
2002
Regular objects, multiplicative unitaries and conjugation. Zbl 1057.46058
Pinzari, C.; Roberts, J. E.
2002
Charged sectors, spin and statistics in quantum field theory on curved spacetimes. Zbl 1029.81052
Guido, D.; Longo, R.; Roberts, J. E.; Verch, R.
2001
Superselection theory for subsystems. Zbl 1049.81044
Conti, Roberto; Doplicher, Sergio; Roberts, John E.
2001
An algebraic duality theory for multiplicative unitaries. Zbl 1111.46312
Doplicher, Sergio; Pinzari, Claudia; Roberts, John E.
2001
Quantum delocalization of the electric charge. Zbl 0989.81140
Buchholz, Detlev; Doplicher, Sergio; Morchio, Giovanni; Roberts, John E.; Strocchi, Franco
2001
On the equality of $$q$$-dimension and intrinsic dimension. Zbl 0974.16034
Roberts, John E.; Tuset, Lars
2001
A theory of dimension. Zbl 0874.18005
Longo, R.; Roberts, J. E.
1997
A model for charges of electromagnetic type. Zbl 0907.46054
Buchholz, Detlev; Doplicher, Sergio; Morchio, Gianni; Roberts, John E.; Strocchi, Franco
1997
The quantum structure of spacetime of the Planck scale and quantum fields. Zbl 0847.53051
Doplicher, Sergio; Fredenhagen, Klaus; Roberts, John E.
1995
The statistical dimension, conjugation and the Jones index. Zbl 0836.46056
Roberts, John E.
1995
A generalization of the Cuntz algebras and model actions. Zbl 0816.46068
Ceccherini, Tullio; Doplicher, Sergio; Pinzari, Claudia; Roberts, John E.
1994
Extensions of automorphisms and gauge symmetries. Zbl 0792.46052
Buchholz, Detlev; Doplicher, Sergio; Longo, Roberto; Roberts, John E.
1993
A new look at Goldstone’s theorem. Zbl 0784.46060
Buchholz, Detlev; Doplicher, Sergio; Longo, Roberto; Roberts, John E.
1992
The concept of spontaneously broken symmetry and a new approach to Goldstone’s theorem. Zbl 0947.81511
Roberts, John
1992
Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics. Zbl 0734.46042
Doplicher, Sergio; Roberts, John E.
1990
Local quasiequivalence and adiabatic vacuum states. Zbl 0749.46045
Lüders, Christian; Roberts, John E.
1990
A new duality theory for compact groups. Zbl 0691.22002
Doplicher, Sergio; Roberts, John E.
1989
Endomorphisms of $$C^*$$-algebras, cross products and duality for compact groups. Zbl 0702.46044
Doplicher, Sergio; Roberts, John E.
1989
Compact group actions on $$C^*$$-algebras. Zbl 0689.46020
Doplicher, Sergio; Roberts, John E.
1988
Duals of compact Lie groups realized in the Cuntz algebras and their actions on $$C^ *$$-algebras. Zbl 0619.46053
Doplicher, Sergio; Roberts, John E.
1987
A remark on compact automorphism groups of $$C^*$$-algebras. Zbl 0589.46052
Doplicher, Sergio; Roberts, John E.
1986
$$W^ *$$-categories. Zbl 0609.46033
Ghez, P.; Lima, R.; Roberts, J. E.
1985
The spectral category and the Connes invariant $$\Gamma$$. Zbl 0601.46061
Ghez, P.; Lima, R.; Roberts, J. E.
1985
Compact Lie groups associated with endomorphisms of $$C^*$$-algebras. Zbl 0561.46029
Doplicher, Sergio; Roberts, John E.
1984
Localization in algebraic field theory. Zbl 0509.47036
Roberts, John E.
1982
New light on the mathematical structure of algebraic field theory. Zbl 0528.46056
Roberts, John E.
1982
Net cohomology and its applications to field theory. Zbl 0484.57024
Roberts, John E.
1980
Mathematical aspects of local cohomology. Zbl 0455.55005
Roberts, John E.
1979
The cohomology of nets over Minkowski space. Zbl 0399.58025
Leyland, P.; Roberts, J. E.
1978
A survey of local cohomology. Zbl 0449.55009
Roberts, John E.
1978
Local cohomology and superselection structure. Zbl 0334.53033
Roberts, John E.
1976
Cross products of von Neumann algebras by group duals. Zbl 0441.46053
Roberts, John E.
1976
Statistics and the intertwiner calculus. Zbl 0405.46058
Roberts, J. E.
1976
Bounded perturbations of dynamics. Zbl 0332.47019
Buchholz, D.; Roberts, J. E.
1976
Some applications of dilatation invariance to structural questions in the theory of local observables. Zbl 0292.46031
Roberts, John E.
1974
On parastatistics. Zbl 0195.55904
Drühl, K.; Haag, R.; Roberts, J. E.
1970
Fields, observables and gauge transformations. I. Zbl 0175.24704
Doplicher, S.; Haag, Rudolf; Roberts, J. E.
1969
Fields, observables and gauge transformations. II. Zbl 0186.58205
Doplicher, S.; Haag, R.; Roberts, J. E.
1969
Some basic concepts of algebraic quantum theory. Zbl 0167.55806
Roberts, J. E.; Roepstorff, G.
1969
A characterization of initial functors. Zbl 0172.30904
Roberts, J. E.
1968
Rigged Hilbert spaces in quantum mechanics. Zbl 0144.23404
Roberts, J. E.
1966
all top 5

#### Cited by 767 Authors

 27 Longo, Roberto 25 Doplicher, Sergio 24 Roberts, John Elias 20 Vasselli, Ezio 15 Meljanac, Stjepan 14 Fredenhagen, Klaus 14 Gadella, Manuel 14 Pinamonti, Nicola 14 Pinzari, Claudia 14 Rehren, Karl-Henning 13 Buchholz, Detlev 12 Ruzzi, Giuseppe 10 Jurić, Tajron 10 Lukierski, Jerzy 10 Verch, Rainer 9 Lechner, Gandalf 9 Müger, Michael 9 Schroer, Bert 9 Summers, Stephen Jeffrey 8 Conti, Roberto 8 Harikumar, E. 8 Morsella, Gerardo 8 Samsarov, Andjelo 7 Dappiaggi, Claudio 7 Dybalski, Wojciech 7 Kawamura, Katsunori 7 Penneys, David 7 Yamagami, Shigeru 6 Brunetti, Romeo 6 Grosse, Harald 6 Guido, Daniele 6 Gupta, Kumar Sankar 6 Jones, Corey 6 Kawahigashi, Yasuyuki 6 Krešić-Jurić, Saša 6 Martinetti, Pierre 6 Naaijkens, Pieter 6 Tanimoto, Yoh 6 Wallet, Jean-Christophe 5 Borowiec, Andrzej Zdzisław 5 Celeghini, Enrico 5 del Olmo, Mariano A. 5 Driessler, Wulf 5 Fuchs, Jürgen 5 Izumi, Masaki 5 Lledó, Fernando 5 Moretti, Valter 5 Much, Albert 5 Mund, Jens 5 Neshveyev, Sergey V. 5 Solov’ev, Mikhaĭl Aleksandrovich 5 Steinacker, Harold C. 5 Szlachányi, Kornél 5 Todorov, Ivan T. 5 Tomatsu, Reiji 5 Werner, Reinhard F. 5 Wichmann, Eyvind H. 5 Wischnewsky, Manfred Bernd 5 Xu, Feng 5 Yamashita, Makoto 4 Amorim, Ricardo 4 Bahns, Dorothea 4 Bischoff, Marcel 4 Carpi, Sebastiano 4 Daszkiewicz, Marcin 4 De Commer, Kenny 4 Fröhlich, Jürg Martin 4 Ghosh, Shamindra Kumar 4 Giorgetti, Luca 4 Grossman, Pinhas 4 Hack, Thomas-Paul 4 Hoffmann, Rudolf- Eberhard 4 Khoruzhij, Sergej Sergeevich 4 Kwaśniewski, Bartosz Kosma 4 Li, Hanfeng 4 Muhly, Paul Scott 4 Piacitelli, Gherardo 4 Prešnajder, Peter 4 Raeburn, Iain 4 Saha, Anirban 4 Scholtz, Frederik G. 4 Schweigert, Christoph 4 Snyder, Noah 4 Solel, Baruch 4 Štrajn, Rina 4 Tolstoĭ, Valeriĭ Nikolaevich 4 Tuset, Lars 4 Waldmann, Stefan 4 Wulkenhaar, Raimar 3 Abreu, Everton M. C. 3 Antoine, Jean-Pierre 3 Banica, Teodor 3 Baumgärtel, Hellmut 3 Bichon, Julien 3 Carey, Alan L. 3 Chung, Won-Sang 3 D’Antoni, Claudio 3 Daoud, Mohammed 3 Fewster, Christopher John 3 Fidaleo, Francesco ...and 667 more Authors
all top 5

#### Cited in 116 Serials

 124 Communications in Mathematical Physics 97 Journal of Mathematical Physics 44 Journal of High Energy Physics 38 Reviews in Mathematical Physics 35 International Journal of Modern Physics A 34 Journal of Functional Analysis 24 International Journal of Theoretical Physics 22 Journal of Geometry and Physics 20 Letters in Mathematical Physics 20 Annales Henri Poincaré 19 Advances in Mathematics 18 Modern Physics Letters A 18 International Journal of Mathematics 16 Theoretical and Mathematical Physics 15 Foundations of Physics 13 Annales de l’Institut Henri Poincaré. Physique Théorique 9 Nuclear Physics. B 9 Transactions of the American Mathematical Society 8 Journal of Algebra 8 Journal of Pure and Applied Algebra 7 International Journal of Geometric Methods in Modern Physics 6 Cahiers de Topologie et Géométrie Différentielle Catégoriques 6 Proceedings of the American Mathematical Society 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Journal of Noncommutative Geometry 5 Classical and Quantum Gravity 5 General Relativity and Gravitation 5 Physics Letters. B 5 Physical Review Letters 5 The European Physical Journal C. Particles and Fields 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Fortschritte der Physik 4 International Journal of Modern Physics D 4 Advances in Mathematical Physics 3 Reports on Mathematical Physics 3 Reviews of Modern Physics 3 Annales de l’Institut Fourier 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Zeitschrift 3 Acta Applicandae Mathematicae 3 Bulletin of the American Mathematical Society. New Series 3 Expositiones Mathematicae 3 Applied Categorical Structures 2 International Journal of Modern Physics B 2 Bulletin of the Australian Mathematical Society 2 Israel Journal of Mathematics 2 Archiv der Mathematik 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Semigroup Forum 2 Tohoku Mathematical Journal. Second Series 2 Nuclear Physics, B, Proceedings Supplements 2 Russian Journal of Mathematical Physics 2 Mathematical Physics, Analysis and Geometry 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 New Journal of Physics 2 Acta Mathematica Sinica. English Series 2 Advances in High Energy Physics 2 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 2 Symmetry 2 Axioms 1 European Journal of Physics 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physica A 1 Physics Letters. A 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica 1 Algebra and Logic 1 Algebra Universalis 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Commentationes Mathematicae Universitatis Carolinae 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Integral Equations and Operator Theory 1 Journal of the Mathematical Society of Japan 1 Journal of Soviet Mathematics 1 Mathematica Slovaca 1 Memoirs of the American Mathematical Society 1 Synthese 1 Topology and its Applications 1 Journal of the American Mathematical Society 1 Science in China. Series A 1 International Journal of Algebra and Computation 1 MSCS. Mathematical Structures in Computer Science 1 Annals of Physics 1 Distributed Computing 1 Russian Mathematics 1 Journal of Algebraic Combinatorics 1 Selecta Mathematica. New Series 1 Theory and Applications of Categories 1 Documenta Mathematica 1 Erkenntnis 1 Living Reviews in Relativity ...and 16 more Serials
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#### Cited in 50 Fields

 528 Quantum theory (81-XX) 380 Functional analysis (46-XX) 136 Relativity and gravitational theory (83-XX) 90 Category theory; homological algebra (18-XX) 71 Nonassociative rings and algebras (17-XX) 60 Global analysis, analysis on manifolds (58-XX) 54 Operator theory (47-XX) 52 Differential geometry (53-XX) 47 Associative rings and algebras (16-XX) 46 Topological groups, Lie groups (22-XX) 34 Statistical mechanics, structure of matter (82-XX) 27 Partial differential equations (35-XX) 26 Group theory and generalizations (20-XX) 19 Mechanics of particles and systems (70-XX) 16 Manifolds and cell complexes (57-XX) 14 Algebraic geometry (14-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 $$K$$-theory (19-XX) 10 General topology (54-XX) 9 Abstract harmonic analysis (43-XX) 8 Mathematical logic and foundations (03-XX) 8 Combinatorics (05-XX) 8 Algebraic topology (55-XX) 8 Probability theory and stochastic processes (60-XX) 8 Information and communication theory, circuits (94-XX) 7 Optics, electromagnetic theory (78-XX) 6 Number theory (11-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Special functions (33-XX) 5 Ordinary differential equations (34-XX) 4 Measure and integration (28-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Computer science (68-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 General algebraic systems (08-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Mathematics education (97-XX)

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