# zbMATH — the first resource for mathematics

## Mackey, George Whitelaw

Compute Distance To:
 Author ID: mackey.george-w Published as: Mackey, George W.; Mackey, G. W.; Mackey, George; Mackey, G. External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 74 Publications since 1942, including 9 Books 3 Further Contributions Biographic References: 7 Publications

#### Co-Authors

 71 single-authored 3 Biedenharn, Lawrence C. jun. 3 Carruthers, Peter A. 3 Louck, James D. 2 Kakutani, Shizuo 1 Kaplansky, Irving
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#### Serials

 7 Bulletin of the American Mathematical Society 5 Proceedings of the National Academy of Sciences of the United States of America 4 Annals of Mathematics. Second Series 3 Transactions of the American Mathematical Society 3 Encyclopedia of Mathematics and Its Applications 2 American Journal of Mathematics 2 Illinois Journal of Mathematics 2 Mathematische Annalen 2 Rice University Studies 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 American Mathematical Monthly 1 International Journal of Theoretical Physics 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Acta Mathematica 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Historia Mathematica 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 History of Mathematics (Providence)
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#### Fields

 23 Topological groups, Lie groups (22-XX) 15 Quantum theory (81-XX) 11 Abstract harmonic analysis (43-XX) 9 History and biography (01-XX) 7 Measure and integration (28-XX) 6 Number theory (11-XX) 6 Group theory and generalizations (20-XX) 5 Functional analysis (46-XX) 4 General and overarching topics; collections (00-XX) 4 Operator theory (47-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

63 Publications have been cited 2,417 times in 1,814 Documents Cited by Year
The mathematical foundations of quantum mechanics. A lecture-note volume. Zbl 0114.44002
Mackey, G. W.
1963
Induced representation of locally compact groups. I. Zbl 0046.11601
Mackey, George W.
1952
Unitary representations of group extensions. I. Zbl 0082.11301
Mackey, George W.
1958
Borel structure in groups and their duals. Zbl 0082.11201
Mackey, George W.
1957
The theory of unitary group representations. Zbl 0344.22002
Mackey, George W.
1976
Induced representations of groups and quantum mechanics. Zbl 0174.28101
Mackey, G. W.
1968
Imprimitivity for representations of locally compact groups. I. Zbl 0035.06901
Mackey, George W.
1949
Ergodic theory and virtual groups. Zbl 0178.38802
Mackey, G. W.
1966
Induced representations of locally compact groups. II. The Frobenius reciprocity theorem. Zbl 0051.01901
Mackey, George W.
1953
On induced representations of groups. Zbl 0045.30305
Mackey, George W.
1951
On infinite -dimensional linear spaces. Zbl 0061.24301
Mackey, George W.
1945
Point realizations of transformation groups. Zbl 0178.17203
Mackey, G. W.
1962
A theorem of Stone and von Neumann. Zbl 0036.07703
Mackey, George W.
1949
Infinite-dimensional group representations. Zbl 0136.11502
Mackey, G. W.
1963
Unitary group representations in physics, probability, and number theory. Zbl 0401.22001
Mackey, George W.
1978
Quantum mechanics and Hilbert space. Zbl 0137.23805
Mackey, G. W.
1957
Note on a theorem of Murray. Zbl 0063.03692
Mackey, George W.
1946
On convex topological linear spaces. Zbl 0061.24302
Mackey, George W.
1946
Ring and lattice characterizations of complex Hilbert space. Zbl 0060.26305
Kakutani, Shizuo; Mackey, George W.
1946
Ergodic transformation groups with a pure point spectrum. Zbl 0255.22014
Mackey, George W.
1964
Isomorphisms of normed linear spaces. Zbl 0061.24210
Mackey, G. W.
1942
Origins and early history of the theory of unitary group representations. Zbl 0441.22002
Mackey, G. W.
1979
The Racah-Wigner algebra in quantum theory. With a foreword by Peter A. Carruthers, introduction by George W. Mackey. Zbl 0474.00024
Biedenharn, Lawrence C.; Louck, James D.
1981
Ergodic theory group theory and differential geometry. Zbl 0178.38801
Mackey, G. W.
1963
Les ensembles boreliens et les extensions des groupes. Zbl 0080.02303
Mackey, George W.
1957
Equivalence of a problem in measure theory to a problem in the theory of vector lattices. Zbl 0060.13402
Mackey, George W.
1944
Unitary group representations in physics, probability, and number theory. Zbl 0698.22001
Mackey, George W.
1989
A generalization of Ulm’s theorem. Zbl 0054.01803
Kaplansky, Irving; Mackey, George W.
1951
The Laplace transform for locally compact abelian groups. Zbl 0030.39803
Mackey, George W.
1948
Harmonic analysis as the exploitation of symmetry - a historical survey. Zbl 0437.43001
Mackey, George W.
1980
Induced representations of locally compact groups and applications. Zbl 0216.39904
Mackey, G. W.
1970
Commutative Banach algebras. Zbl 0086.31203
Mackey, George W.
1959
Ergodic theory and its significance for statistical mechanics and probability theory. Zbl 0326.60001
Mackey, George W.
1974
Multiplicity free representations of finite groups. Zbl 0161.02301
Mackey, G. W.
1958
Two characterizations of real Hilbert space. Zbl 0060.26304
Kakutani, Shizuo; Mackey, George W.
1944
Symmetric and anti symmetric Kronecker squares and intertwining numbers of induced representations of finite groups. Zbl 0051.25903
Mackey, George W.
1953
The relationship between classical mechanics and quantum mechanics. Zbl 0955.70012
Mackey, George W.
1998
The scope and history of commutative and noncommutative harmonic analysis. Zbl 0766.43001
Mackey, George W.
1992
Functions on locally compact groups. Zbl 0041.36305
Mackey, George W.
1950
Induced representations and normal subgroups. Zbl 0118.11401
Mackey, G. W.
1961
Axiomatics of particle interactions. Zbl 0810.53059
Mackey, George W.
1993
On convex topological linear space. Zbl 0061.24212
Mackey, George W.
1944
Some remarks on symplectic automorphisms. Zbl 0134.12406
Mackey, G. W.
1965
Infinite dimensional group representations and their applications. Zbl 0231.22016
Mackey, George W.
1971
Products of subgroups and projective multipliers. Zbl 0251.22005
Mackey, G. W.
1972
On infinite dimensional linear spaces. Zbl 0061.24211
Mackey, George W.
1943
Von Neumann and the early days of ergodic theory. Zbl 0706.28012
Mackey, George W.
1990
Group representations and analysis. Zbl 0124.07002
Mackey, G. W.
1963
Lectures on the theory of functions of a complex variable. Zbl 0162.09401
Mackey, G. W.
1967
Virtual groups. Zbl 0195.06105
Mackey, George W.
1968
A remark on locally compact abelian groups. Zbl 0063.03693
Mackey, George W.
1946
The mathematical foundations of quantum mechanics. A lecture-note volume. Repr. of the 1963 orig. Zbl 0561.70001
Mackey, George W.
1980
Harmonic analysis as the exploitation of symmetry - A historical survey. Zbl 0403.43001
Mackey, George W.
1978
The Racah-Wigner algebra in quantum theory. With a foreword by Peter A. Carruthers. Introduction by George W. Mackey. Reprint of the 1984 hardback ed. Zbl 1205.00001
Biedenharn, Lawrence C.; Louck, James D.
2009
Harmonic analysis and unitary group representations: The development from 1927 to 1950. Zbl 0759.22003
Mackey, George W.
1992
A remark on systems of imprimitivity. Zbl 0126.06102
Mackey, G.
1962
On the analogy between semisimple Lie groups and certain related semi- direct product groups. Zbl 0324.22006
Mackey, George W.
1975
Weyl’s program and modern physics. Zbl 0657.22021
Mackey, George W.
1988
Marshall H. Stone: Mathematician, statesman, advisor, and friend. Zbl 1059.01539
Mackey, George W.
2004
Ergodicity in the theory of group representation. Zbl 0241.22018
Mackey, George W.
1971
Functions on locally compact groups. Zbl 0045.31301
Mackey, George W.
1950
The Racah-Wigner algebra in quantum theory. With a foreword by Peter A. Carruthers. Introduction by George W. Mackey. Zbl 0597.00001
Biedenharn, Lawrence C.; Louck, James D.
1984
The Laplace transform on groups and generalized analytic functions. Zbl 0094.28303
Mackey, George W.
1958
The Racah-Wigner algebra in quantum theory. With a foreword by Peter A. Carruthers. Introduction by George W. Mackey. Reprint of the 1984 hardback ed. Zbl 1205.00001
Biedenharn, Lawrence C.; Louck, James D.
2009
Marshall H. Stone: Mathematician, statesman, advisor, and friend. Zbl 1059.01539
Mackey, George W.
2004
The relationship between classical mechanics and quantum mechanics. Zbl 0955.70012
Mackey, George W.
1998
Axiomatics of particle interactions. Zbl 0810.53059
Mackey, George W.
1993
The scope and history of commutative and noncommutative harmonic analysis. Zbl 0766.43001
Mackey, George W.
1992
Harmonic analysis and unitary group representations: The development from 1927 to 1950. Zbl 0759.22003
Mackey, George W.
1992
Von Neumann and the early days of ergodic theory. Zbl 0706.28012
Mackey, George W.
1990
Unitary group representations in physics, probability, and number theory. Zbl 0698.22001
Mackey, George W.
1989
Weyl’s program and modern physics. Zbl 0657.22021
Mackey, George W.
1988
The Racah-Wigner algebra in quantum theory. With a foreword by Peter A. Carruthers. Introduction by George W. Mackey. Zbl 0597.00001
Biedenharn, Lawrence C.; Louck, James D.
1984
The Racah-Wigner algebra in quantum theory. With a foreword by Peter A. Carruthers, introduction by George W. Mackey. Zbl 0474.00024
Biedenharn, Lawrence C.; Louck, James D.
1981
Harmonic analysis as the exploitation of symmetry - a historical survey. Zbl 0437.43001
Mackey, George W.
1980
The mathematical foundations of quantum mechanics. A lecture-note volume. Repr. of the 1963 orig. Zbl 0561.70001
Mackey, George W.
1980
Origins and early history of the theory of unitary group representations. Zbl 0441.22002
Mackey, G. W.
1979
Unitary group representations in physics, probability, and number theory. Zbl 0401.22001
Mackey, George W.
1978
Harmonic analysis as the exploitation of symmetry - A historical survey. Zbl 0403.43001
Mackey, George W.
1978
The theory of unitary group representations. Zbl 0344.22002
Mackey, George W.
1976
On the analogy between semisimple Lie groups and certain related semi- direct product groups. Zbl 0324.22006
Mackey, George W.
1975
Ergodic theory and its significance for statistical mechanics and probability theory. Zbl 0326.60001
Mackey, George W.
1974
Products of subgroups and projective multipliers. Zbl 0251.22005
Mackey, G. W.
1972
Infinite dimensional group representations and their applications. Zbl 0231.22016
Mackey, George W.
1971
Ergodicity in the theory of group representation. Zbl 0241.22018
Mackey, George W.
1971
Induced representations of locally compact groups and applications. Zbl 0216.39904
Mackey, G. W.
1970
Induced representations of groups and quantum mechanics. Zbl 0174.28101
Mackey, G. W.
1968
Virtual groups. Zbl 0195.06105
Mackey, George W.
1968
Lectures on the theory of functions of a complex variable. Zbl 0162.09401
Mackey, G. W.
1967
Ergodic theory and virtual groups. Zbl 0178.38802
Mackey, G. W.
1966
Some remarks on symplectic automorphisms. Zbl 0134.12406
Mackey, G. W.
1965
Ergodic transformation groups with a pure point spectrum. Zbl 0255.22014
Mackey, George W.
1964
The mathematical foundations of quantum mechanics. A lecture-note volume. Zbl 0114.44002
Mackey, G. W.
1963
Infinite-dimensional group representations. Zbl 0136.11502
Mackey, G. W.
1963
Ergodic theory group theory and differential geometry. Zbl 0178.38801
Mackey, G. W.
1963
Group representations and analysis. Zbl 0124.07002
Mackey, G. W.
1963
Point realizations of transformation groups. Zbl 0178.17203
Mackey, G. W.
1962
A remark on systems of imprimitivity. Zbl 0126.06102
Mackey, G.
1962
Induced representations and normal subgroups. Zbl 0118.11401
Mackey, G. W.
1961
Commutative Banach algebras. Zbl 0086.31203
Mackey, George W.
1959
Unitary representations of group extensions. I. Zbl 0082.11301
Mackey, George W.
1958
Multiplicity free representations of finite groups. Zbl 0161.02301
Mackey, G. W.
1958
The Laplace transform on groups and generalized analytic functions. Zbl 0094.28303
Mackey, George W.
1958
Borel structure in groups and their duals. Zbl 0082.11201
Mackey, George W.
1957
Quantum mechanics and Hilbert space. Zbl 0137.23805
Mackey, G. W.
1957
Les ensembles boreliens et les extensions des groupes. Zbl 0080.02303
Mackey, George W.
1957
Induced representations of locally compact groups. II. The Frobenius reciprocity theorem. Zbl 0051.01901
Mackey, George W.
1953
Symmetric and anti symmetric Kronecker squares and intertwining numbers of induced representations of finite groups. Zbl 0051.25903
Mackey, George W.
1953
Induced representation of locally compact groups. I. Zbl 0046.11601
Mackey, George W.
1952
On induced representations of groups. Zbl 0045.30305
Mackey, George W.
1951
A generalization of Ulm’s theorem. Zbl 0054.01803
Kaplansky, Irving; Mackey, George W.
1951
Functions on locally compact groups. Zbl 0041.36305
Mackey, George W.
1950
Functions on locally compact groups. Zbl 0045.31301
Mackey, George W.
1950
Imprimitivity for representations of locally compact groups. I. Zbl 0035.06901
Mackey, George W.
1949
A theorem of Stone and von Neumann. Zbl 0036.07703
Mackey, George W.
1949
The Laplace transform for locally compact abelian groups. Zbl 0030.39803
Mackey, George W.
1948
Note on a theorem of Murray. Zbl 0063.03692
Mackey, George W.
1946
On convex topological linear spaces. Zbl 0061.24302
Mackey, George W.
1946
Ring and lattice characterizations of complex Hilbert space. Zbl 0060.26305
Kakutani, Shizuo; Mackey, George W.
1946
A remark on locally compact abelian groups. Zbl 0063.03693
Mackey, George W.
1946
On infinite -dimensional linear spaces. Zbl 0061.24301
Mackey, George W.
1945
Equivalence of a problem in measure theory to a problem in the theory of vector lattices. Zbl 0060.13402
Mackey, George W.
1944
Two characterizations of real Hilbert space. Zbl 0060.26304
Kakutani, Shizuo; Mackey, George W.
1944
On convex topological linear space. Zbl 0061.24212
Mackey, George W.
1944
On infinite dimensional linear spaces. Zbl 0061.24211
Mackey, George W.
1943
Isomorphisms of normed linear spaces. Zbl 0061.24210
Mackey, G. W.
1942
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#### Cited by 1,608 Authors

 22 Jørgensen, Palle E. T. 17 Zimmer, Robert J. 15 Gudder, Stanley P. 15 Kaniuth, Eberhard 15 Moore, Calvin C. 15 Pulmannová, Sylvia 13 Mackey, George Whitelaw 12 Guz, Wawrzyniec 12 Takesaki, Masamichi 11 Bekka, Mohammed el Bachir 11 Kallman, Robert R. 10 Baggett, Larry W. 10 Hannabuss, Keith C. 10 Ramsay, Arlan B. 9 Feldman, Jacob 9 Golodets, Valentin Yakovlevich 9 Howe, Roger Evans 8 Hamhalter, Jan 8 Lipsman, Ronald L. 8 Varadarajan, Veeravalli S. 7 Ali, Syed Twareque 7 Baggett, Lawrence Wasson 7 Dixmier, Jacques 7 Dooley, Anthony Haynes 7 Dvurečenskij, Anatolij 7 Emch, Gerard G. 7 Fabec, Raymond C. 7 Khrennikov, Andreĭ Yur’evich 7 Kleppner, Adam 7 Ludwig, Jean 7 Merrill, Kathy D. 7 Moretti, Valter 7 Packer, Judith A. 7 Pukánszky, Lajos 7 Rieffel, Marc A. 7 Sutherland, Colin E. 7 Taylor, Keith Frederick 7 Wilce, Alexander 6 Carey, Alan L. 6 Cassinelli, Gianni 6 Corwin, Lawrence J. 6 Doebner, Heinz-Dietrich 6 Edwards, Christopher Martin 6 Garola, Claudio 6 Grigorchuk, Rostislav Ivanovich 6 Guichardet, Alain 6 Landsman, Nicolaas P. 6 Muhly, Paul Scott 6 Pykacz, Jarosław 6 Santander, Mariano 6 Schroeck, Franklin E. jun. 6 Sławianowski, Jan Jerzy 5 Aerts, Diederik Emiel 5 Baklouti, Ali 5 Barnum, Howard 5 Bugajski, Sławomir 5 Cariñena, José F. 5 de la Harpe, Pierre 5 De Vito, Ernesto 5 del Olmo, Mariano A. 5 Effros, Edward George 5 Foulis, David James 5 Gootman, Elliot C. 5 Maczynski, Maciej J. 5 Moran, William 5 Nadkarni, Mahendra G. 5 Parthasarathy, Kalyanapuram Rangachari 5 Penkov, Ivan B. 5 Rowe, David J. 5 Schochetman, Irwin E. 5 Silvestrov, Sergei D. 5 Sund, Terje 5 Tatsuuma, Nobuhiko 5 Vershik, Anatoliĭ Moiseevich 4 Aniello, Paolo 4 Auslander, Louis 4 Außenhofer, Lydia 4 Backhouse, Nigel B. 4 Ben Halima, Majdi 4 Björklund, Michael 4 Brezin, Jonathan 4 Carlton, Eloise H. 4 Cattaneo, Gianpiero 4 Chevalier, Georges 4 Danilenko, Alexandre I. 4 de Gosson, Maurice Alexis 4 Dieudonné, Jean Alexandre 4 Dikranjan, Dikran N. 4 Echterhoff, Siegfried 4 Finch, Peter D. 4 Hahn, Peter Florin 4 Harding, John 4 Holik, Federico 4 Jaworski, Wojciech M. 4 Kamyabi-Gol, Rajab Ali 4 Klee, Victor LaRue 4 Klink, William H. 4 Lahti, Pekka Johannes 4 Lau, Anthony To-Ming 4 Loupias, Guy ...and 1,508 more Authors
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#### Cited in 279 Serials

 121 Journal of Functional Analysis 116 Transactions of the American Mathematical Society 111 Journal of Mathematical Physics 95 International Journal of Theoretical Physics 76 Communications in Mathematical Physics 67 Proceedings of the American Mathematical Society 48 Mathematische Annalen 40 Israel Journal of Mathematics 40 Reports on Mathematical Physics 40 Mathematische Zeitschrift 34 Bulletin of the American Mathematical Society 33 Journal of Mathematical Analysis and Applications 30 Advances in Mathematics 24 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 24 Foundations of Physics 23 Journal of Algebra 22 Acta Mathematica 19 Annales de l’Institut Fourier 17 Journal of Geometry and Physics 17 Inventiones Mathematicae 17 Bulletin of the American Mathematical Society. New Series 15 Bulletin de la Société Mathématique de France 15 Topology and its Applications 14 Publications of the Research Institute for Mathematical Sciences, Kyoto University 14 Ergodic Theory and Dynamical Systems 13 Journal d’Analyse Mathématique 13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 13 Proceedings of the Japan Academy 12 Theoretical and Mathematical Physics 12 Annals of Physics 12 The Journal of Fourier Analysis and Applications 11 Bulletin of the Australian Mathematical Society 11 Reviews in Mathematical Physics 11 Archiv der Mathematik 11 Compositio Mathematica 11 Functional Analysis and its Applications 10 Duke Mathematical Journal 10 Journal of Pure and Applied Algebra 10 Journal of Soviet Mathematics 10 Manuscripta Mathematica 10 Synthese 9 Communications in Algebra 9 Letters in Mathematical Physics 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Monatshefte für Mathematik 9 Annales de l’Institut Henri Poincaré. Physique Théorique 9 Journal of Mathematical Sciences (New York) 9 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 8 Mathematical Notes 8 Glasgow Mathematical Journal 8 Tohoku Mathematical Journal. Second Series 8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 8 International Journal of Geometric Methods in Modern Physics 7 Acta Applicandae Mathematicae 6 Rocky Mountain Journal of Mathematics 6 Journal of Approximation Theory 6 Russian Journal of Mathematical Physics 5 Indian Journal of Pure & Applied Mathematics 5 The Mathematical Intelligencer 5 Publications Mathématiques 5 Journal of Mathematical Psychology 5 Journal of Philosophical Logic 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Discrete Mathematics 4 Nuclear Physics. B 4 Physics Letters. A 4 Physics Reports 4 Ukrainian Mathematical Journal 4 Arkiv för Matematik 4 Mathematische Nachrichten 4 Semigroup Forum 4 International Journal of Mathematics 4 Applied and Computational Harmonic Analysis 4 Journal of High Energy Physics 4 Annales Henri Poincaré 4 Journal of the Australian Mathematical Society 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Quantum Information Processing 4 Journal of Algebra and its Applications 4 Annales Scientifiques de l’École Normale Supérieure. Troisième Série 4 Journal of Physics A: Mathematical and Theoretical 4 Journal of Modern Dynamics 4 Japanese Journal of Mathematics. 3rd Series 3 Modern Physics Letters A 3 Archive for History of Exact Sciences 3 Physics Letters. B 3 Studia Mathematica 3 Algebra Universalis 3 Czechoslovak Mathematical Journal 3 Journal of Number Theory 3 Mathematica Slovaca 3 Nagoya Mathematical Journal 3 Numerical Functional Analysis and Optimization 3 Proceedings of the Japan Academy. Series A 3 Rendiconti del Seminario Matemàtico e Fisico di Milano 3 Studia Logica 3 Theoretical Computer Science 3 Mathematical Social Sciences 3 Annals of Pure and Applied Logic 3 Science in China. Series A ...and 179 more Serials
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#### Cited in 61 Fields

 575 Topological groups, Lie groups (22-XX) 430 Quantum theory (81-XX) 377 Functional analysis (46-XX) 212 Abstract harmonic analysis (43-XX) 187 Group theory and generalizations (20-XX) 141 Operator theory (47-XX) 124 Measure and integration (28-XX) 114 Mathematical logic and foundations (03-XX) 93 Probability theory and stochastic processes (60-XX) 91 Dynamical systems and ergodic theory (37-XX) 81 Differential geometry (53-XX) 72 Order, lattices, ordered algebraic structures (06-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 53 General topology (54-XX) 49 Number theory (11-XX) 48 Nonassociative rings and algebras (17-XX) 45 Global analysis, analysis on manifolds (58-XX) 38 Associative rings and algebras (16-XX) 38 Category theory; homological algebra (18-XX) 38 Relativity and gravitational theory (83-XX) 33 Manifolds and cell complexes (57-XX) 33 Statistical mechanics, structure of matter (82-XX) 29 Partial differential equations (35-XX) 24 Mechanics of particles and systems (70-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 History and biography (01-XX) 21 Combinatorics (05-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 16 Statistics (62-XX) 16 Computer science (68-XX) 13 General and overarching topics; collections (00-XX) 13 Algebraic topology (55-XX) 13 Information and communication theory, circuits (94-XX) 11 Commutative algebra (13-XX) 11 Algebraic geometry (14-XX) 8 Field theory and polynomials (12-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Geometry (51-XX) 7 Real functions (26-XX) 7 Ordinary differential equations (34-XX) 7 Numerical analysis (65-XX) 7 Biology and other natural sciences (92-XX) 6 $$K$$-theory (19-XX) 6 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 6 Integral transforms, operational calculus (44-XX) 5 General algebraic systems (08-XX) 5 Convex and discrete geometry (52-XX) 4 Approximations and expansions (41-XX) 4 Optics, electromagnetic theory (78-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Systems theory; control (93-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)

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