Edit Profile (opens in new tab) Yoshioka, Akira Co-Author Distance Author ID: yoshioka.akira Published as: Yoshioka, Akira; Yoshioka, A.; Yoshiaka, Akira more...less Documents Indexed: 79 Publications since 1970 14 Contributions as Editor Reviewing Activity: 26 Reviews Co-Authors: 23 Co-Authors with 78 Joint Publications 342 Co-Co-Authors all top 5 Co-Authors 13 single-authored 40 Maeda, Yoshiaki 39 Omori, Hideki 21 Miyazaki, Naoya 13 Mladenov, Ivaĭlo M. 8 Kanazawa, Tomoyo 7 Kobayashi, Osamu 5 Vilasi, Gaetano 4 Ludu, Andrei 4 Yoshimi, Naoko 3 Iida, Mari 3 Pulov, Vladimir I. 2 Ii, Kiyotaka 2 Lambiase, Gaetano 2 Meng, Guowu 2 Takeuchi, Tsukasa 2 Tomihisa, Toshio 2 Watanabe, Hiroshi 1 Hijikata, Hiroaki 1 Hosokawa, Kiyonori 1 Matsumoto, Toshio 1 Michor, Peter Wolfram 1 Ochiai, Takushiro 1 Soneda, N. 1 Tsukamoto, Chishu 1 Yagawa, Genki 1 Yoshimura, Shinobu all top 5 Serials 13 Geometry, Integrability and Quantization 11 Tokyo Journal of Mathematics 4 Letters in Mathematical Physics 4 Journal of Geometry and Symmetry in Physics 3 RIMS Kokyuroku 2 Journal of the Mathematical Society of Japan 2 Proceedings of the Japan Academy. Series A 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Computers and Structures 1 Journal of Mathematical Physics 1 Reports on Mathematical Physics 1 Advances in Mathematics 1 Journal of Mathematics of Kyoto University 1 Japanese Journal of Mathematics. New Series 1 Acta Applicandae Mathematicae 1 SUT Journal of Mathematics 1 Journal of Lie Theory 1 Lobachevskii Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Progress in Mathematics all top 5 Fields 66 Differential geometry (53-XX) 29 Quantum theory (81-XX) 20 Global analysis, analysis on manifolds (58-XX) 15 Functional analysis (46-XX) 14 General and overarching topics; collections (00-XX) 12 Topological groups, Lie groups (22-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Nonassociative rings and algebras (17-XX) 8 Partial differential equations (35-XX) 8 Mechanics of particles and systems (70-XX) 8 Relativity and gravitational theory (83-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Numerical analysis (65-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 198 times in 132 Documents Cited by ▼ Year ▼ Weyl manifolds and deformation quantization. Zbl 0734.58011Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 67 1991 On regular Frechet-Lie groups. IV: Definition and fundamental theorems. Zbl 0515.58004Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 15 1982 Existence of a closed star product. Zbl 0771.58017Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 10 1992 On regular Frechet-Lie groups. V: Several basic properties. Zbl 0526.58003Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 9 1983 A parallel finite element method with a supercomputer network. Zbl 0775.73301Yagawa, G.; Yoshioka, A.; Yoshimura, S.; Soneda, N. 9 1993 Deformation quantization of Fréchet-Poisson algebras: Convergence of the Moyal product. Zbl 0987.53036Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 8 2000 Theory of infinite dimensional Lie groups and its applications. Zbl 0527.58002Kobayashi, Osamu; Yoshioka, Akira; Maeda, Yoshiaki; Omori, Hideki 7 1985 On regular Frechet-Lie groups. I: Some differential geometrical expressions of Fourier-integral operators on a Riemannian manifold. Zbl 0461.58003Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 6 1980 Orderings and non-formal deformation quantization. Zbl 1136.53064Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 5 2007 Deformation quantizations of Poisson algebras. Zbl 0820.58027Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 5 1994 On regular Fréchet-Lie groups. VIII: Primordial operators and Fourier integral operators. Zbl 0582.58034Maeda, Yoshiaki; Omori, Hideki; Kobayashi, Osamu; Yoshioka, Akira 5 1985 On regular Fréchet-Lie groups. VI: Infinite dimensional Lie groups which appear in general relativity. Zbl 0537.58005Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 4 1983 On regular Fréchet-Lie groups. VII: The group generated by pseudo- differential operators of negative order. Zbl 0565.58037Yoshioka, Akira; Maeda, Yoshiaki; Omori, Hideki; Kobayashi, Osamu 4 1984 On regular Frechet-Lie groups. II: Composition rules of Fourier-integral operators on a Riemannian manifold. Zbl 0486.58002Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 4 1981 On regular Frechet-Lie groups. III: A second cohomology class related to the Lie algebra of pseudo-differential operators of order one. Zbl 0486.58003Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 4 1981 Star exponential functions as two-valued elements. Zbl 1076.53105Maeda, Y.; Miyazaki, N.; Omori, H.; Yoshioka, A. 4 2005 Strange phenomena related to ordering problems in quantizations. Zbl 1046.53057Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 4 2003 Maslov’s quantization conditions for the bound states of the hydrogen atom. Zbl 0614.58013Yoshioka, Akira 3 1986 Non-formal deformation quantization of Fréchet-Poisson algebras: the Heisenberg Lie algebra case. Zbl 1215.53081Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 3 2007 Anomalous quadratic exponentials in the star-products. Zbl 0968.53508Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 3 2000 Construction of symplectic-Haantjes manifold of certain Hamiltonian systems. Zbl 1387.70018Hosokawa, Kiyonori; Takeuchi, Tsukasa; Yoshioka, Akira 2 2018 Star products and applications. Zbl 1216.53081Iida, Mari; Yoshioka, Akira 2 2010 Chiral anomaly on a spin manifold. Zbl 0753.53055Watanabe, Hiroshi; Yoshioka, Akira 2 1991 Star functions: examples and applications. Zbl 1350.53112Yoshioka, Akira; Kanazawa, Tomoyo 2 2015 Star exponential functions for quadratic forms and polar elements. Zbl 1047.53057Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 2 2002 Star Kummer function. Zbl 1476.53108Yoshioka, Akira 1 2020 Star product and star exponential. Zbl 1382.53028Tomihisa, Toshio; Yoshioka, Akira 1 2010 Star product, star exponential and applications. Zbl 1388.53101Yoshioka, Akira 1 2018 The quasi-classical calculation of eigenvalues for the Bochner-Laplacian on a line bundle. Zbl 0708.58028Yoshioka, Akira 1 1989 The uniqueness of star-products on \(\mathbb{P}_ n(\mathbb{C})\). Zbl 0785.53024Omori, H.; Maeda, Y.; Yoshioka, A. 1 1993 A rigorous construction of the chiral anomaly on a spin manifold. Zbl 0791.58088Watanabe, Hiroshi; Yoshioka, Akira 1 1994 A Poincaré-Birkhoff-Witt theorem for infinite dimensional Lie algebras. Zbl 0803.17007Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 1 1994 \(3+1\)-Moulton configuration. Zbl 1459.70032Yoshimi, Naoko; Yoshioka, Akira 1 2018 Noncommutative 3-sphere as an example of noncommutative contact algebras. Zbl 0890.17022Omori, Hideki; Miyazaki, Naoya; Yoshioka, Akira; Maeda, Yoshiaki 1 1997 Deformation quantizations of the Poisson algebra of Laurent polynomials. Zbl 0951.53058Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 1998 Noncommutative 3-sphere: a model of noncommutative contact algebras. Zbl 1024.53058Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 1998 A remark on the group of orthogonal similitudes. Zbl 0206.04104Hijikata, H.; Yoshioka, A. 1 1970 \(2+1\)-Moulton configuration. Zbl 1416.70012Yoshimi, Naoko; Yoshioka, Akira 1 2018 Proceedings of the 22nd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 8–13, 2020. Zbl 1468.53002 1 2021 Poincaré-Cartan class and deformation quantization of Kähler manifolds. Zbl 0926.53035Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 1998 Contact Weyl manifold over a symplectic manifold. Zbl 1045.53057Yoshioka, Akira 1 2002 Singular systems of exponential functions. Zbl 1049.53063Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 2001 A construction of a deformation quantization of a Poisson algebra. Zbl 1077.53515Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 1 1993 Convergent star products of Fréchet linear Poisson algebras of Heisenberg type. Zbl 1012.53068Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 2001 Proceedings of the 22nd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 8–13, 2020. Zbl 1468.53002 1 2021 Star Kummer function. Zbl 1476.53108Yoshioka, Akira 1 2020 Construction of symplectic-Haantjes manifold of certain Hamiltonian systems. Zbl 1387.70018Hosokawa, Kiyonori; Takeuchi, Tsukasa; Yoshioka, Akira 2 2018 Star product, star exponential and applications. Zbl 1388.53101Yoshioka, Akira 1 2018 \(3+1\)-Moulton configuration. Zbl 1459.70032Yoshimi, Naoko; Yoshioka, Akira 1 2018 \(2+1\)-Moulton configuration. Zbl 1416.70012Yoshimi, Naoko; Yoshioka, Akira 1 2018 Star functions: examples and applications. Zbl 1350.53112Yoshioka, Akira; Kanazawa, Tomoyo 2 2015 Star products and applications. Zbl 1216.53081Iida, Mari; Yoshioka, Akira 2 2010 Star product and star exponential. Zbl 1382.53028Tomihisa, Toshio; Yoshioka, Akira 1 2010 Orderings and non-formal deformation quantization. Zbl 1136.53064Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 5 2007 Non-formal deformation quantization of Fréchet-Poisson algebras: the Heisenberg Lie algebra case. Zbl 1215.53081Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 3 2007 Star exponential functions as two-valued elements. Zbl 1076.53105Maeda, Y.; Miyazaki, N.; Omori, H.; Yoshioka, A. 4 2005 Strange phenomena related to ordering problems in quantizations. Zbl 1046.53057Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 4 2003 Star exponential functions for quadratic forms and polar elements. Zbl 1047.53057Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 2 2002 Contact Weyl manifold over a symplectic manifold. Zbl 1045.53057Yoshioka, Akira 1 2002 Singular systems of exponential functions. Zbl 1049.53063Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 2001 Convergent star products of Fréchet linear Poisson algebras of Heisenberg type. Zbl 1012.53068Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 2001 Deformation quantization of Fréchet-Poisson algebras: Convergence of the Moyal product. Zbl 0987.53036Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 8 2000 Anomalous quadratic exponentials in the star-products. Zbl 0968.53508Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 3 2000 Deformation quantizations of the Poisson algebra of Laurent polynomials. Zbl 0951.53058Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 1998 Noncommutative 3-sphere: a model of noncommutative contact algebras. Zbl 1024.53058Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 1998 Poincaré-Cartan class and deformation quantization of Kähler manifolds. Zbl 0926.53035Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 1998 Noncommutative 3-sphere as an example of noncommutative contact algebras. Zbl 0890.17022Omori, Hideki; Miyazaki, Naoya; Yoshioka, Akira; Maeda, Yoshiaki 1 1997 Deformation quantizations of Poisson algebras. Zbl 0820.58027Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 5 1994 A rigorous construction of the chiral anomaly on a spin manifold. Zbl 0791.58088Watanabe, Hiroshi; Yoshioka, Akira 1 1994 A Poincaré-Birkhoff-Witt theorem for infinite dimensional Lie algebras. Zbl 0803.17007Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 1 1994 A parallel finite element method with a supercomputer network. Zbl 0775.73301Yagawa, G.; Yoshioka, A.; Yoshimura, S.; Soneda, N. 9 1993 The uniqueness of star-products on \(\mathbb{P}_ n(\mathbb{C})\). Zbl 0785.53024Omori, H.; Maeda, Y.; Yoshioka, A. 1 1993 A construction of a deformation quantization of a Poisson algebra. Zbl 1077.53515Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 1 1993 Existence of a closed star product. Zbl 0771.58017Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 10 1992 Weyl manifolds and deformation quantization. Zbl 0734.58011Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 67 1991 Chiral anomaly on a spin manifold. Zbl 0753.53055Watanabe, Hiroshi; Yoshioka, Akira 2 1991 The quasi-classical calculation of eigenvalues for the Bochner-Laplacian on a line bundle. Zbl 0708.58028Yoshioka, Akira 1 1989 Maslov’s quantization conditions for the bound states of the hydrogen atom. Zbl 0614.58013Yoshioka, Akira 3 1986 Theory of infinite dimensional Lie groups and its applications. Zbl 0527.58002Kobayashi, Osamu; Yoshioka, Akira; Maeda, Yoshiaki; Omori, Hideki 7 1985 On regular Fréchet-Lie groups. VIII: Primordial operators and Fourier integral operators. Zbl 0582.58034Maeda, Yoshiaki; Omori, Hideki; Kobayashi, Osamu; Yoshioka, Akira 5 1985 On regular Fréchet-Lie groups. VII: The group generated by pseudo- differential operators of negative order. Zbl 0565.58037Yoshioka, Akira; Maeda, Yoshiaki; Omori, Hideki; Kobayashi, Osamu 4 1984 On regular Frechet-Lie groups. V: Several basic properties. Zbl 0526.58003Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 9 1983 On regular Fréchet-Lie groups. VI: Infinite dimensional Lie groups which appear in general relativity. Zbl 0537.58005Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 4 1983 On regular Frechet-Lie groups. IV: Definition and fundamental theorems. Zbl 0515.58004Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 15 1982 On regular Frechet-Lie groups. II: Composition rules of Fourier-integral operators on a Riemannian manifold. Zbl 0486.58002Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 4 1981 On regular Frechet-Lie groups. III: A second cohomology class related to the Lie algebra of pseudo-differential operators of order one. Zbl 0486.58003Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 4 1981 On regular Frechet-Lie groups. I: Some differential geometrical expressions of Fourier-integral operators on a Riemannian manifold. Zbl 0461.58003Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 6 1980 A remark on the group of orthogonal similitudes. Zbl 0206.04104Hijikata, H.; Yoshioka, A. 1 1970 all cited Publications top 5 cited Publications all top 5 Cited by 146 Authors 13 Waldmann, Stefan 10 Yoshioka, Akira 6 Maeda, Yoshiaki 6 Sako, Akifumi 5 Neeb, Karl-Hermann 4 Gutt, Simone 4 Karabegov, Alexander V. 4 Karasev, Mikhail Vladimirovich 4 Michor, Peter Wolfram 4 Miyazaki, Naoya 4 Omori, Hideki 4 Umetsu, Hiroshi 3 Bieliavsky, Pierre 3 Bursztyn, Henrique 3 La Fuente Gravy, Laurent 3 Nable, Job A. 3 Neumaier, Nikolai 3 Pestov, Vladimir G. 3 Schlichenmaier, Martin 3 Takeuchi, Tsukasa 2 Alzaareer, Hamza 2 Bordemann, Martin 2 de Goursac, Axel Marcillaud 2 Dias, Nuno Costa 2 Hanusch, Maximilian 2 Hirota, Yuji 2 Natividad, Laarni B. 2 Prata, João Nuno 2 Rawnsley, John H. 2 Schötz, Matthias 2 Solov’ev, Mikhaĭl Aleksandrovich 2 Suzuki, Toshiya 2 Uwano, Yoshio 2 Watanabe, Hiroshi 2 Yoshimi, Naoko 1 Abbati, Maria Cristina 1 Adams, Malcolm R. 1 Ali, Syed Twareque 1 Asakawa, Tsuguhiko 1 Asin Lares, Santos 1 Baez, John C. 1 Becher, Florian 1 Bedida, Nabila 1 Beiser, Svea 1 Bertram, Wolfgang 1 Brischle, M. 1 Brzeziński, Tomasz 1 Cahen, Michel 1 Carballo Pérez, B. 1 Choie, YoungJu 1 Cirelli, Renzo 1 Dabrowski, Ludwik 1 D’Andrea, Francesco 1 De Wilde, Marc 1 Dito, Giuseppe 1 Dolgushev, Vasily A. 1 Donin, Joseph 1 Dumas, François 1 Emmrich, Claudio 1 Engliš, Miroslav 1 Fedosov, Boris Vasil’evich 1 Frønsdal, Christian 1 Futaki, Akito 1 Galaviz, Imelda 1 García-Compeán, Hugo 1 Glöckner, Helge 1 Gohara, Jumpei 1 Gordina, Maria 1 Gracia-Saz, Alfonso 1 Grigor’ev, O. N. 1 Grong, Erlend 1 Guillemin, Victor W. 1 Hamachi, Kentaro 1 Hara, Kentaro 1 Hattori, Tetsuya 1 Hawkins, Eli 1 Hermas, Nadji 1 Honegger, Reinhard 1 Ii, Kiyotaka 1 Iida, Mari 1 Kajiura, Hiroshige 1 Kanazawa, Tomoyo 1 Kikuchi, Keiichi 1 Kishimoto, Isao 1 Kobayashi, Osamu 1 Kraus, Daniela 1 Kriegl, Andreas 1 Kupriyanov, Vladislav G. 1 Kuwabara, Ruishi 1 Léandre, Rémi 1 Ma, Tsoywo 1 Magnot, Jean-Pierre 1 Manià, Alessandro 1 Markina, Irina 1 Marquis, Timothée 1 Martin, François 1 Masmoudi, Mohsen 1 Monterde, Juan 1 Mumford, David Bryant 1 Muñoz Masqué, Jaime ...and 46 more Authors all top 5 Cited in 59 Serials 14 Letters in Mathematical Physics 13 Journal of Mathematical Physics 10 Journal of Geometry and Physics 7 Communications in Mathematical Physics 6 Journal of Functional Analysis 4 Reviews in Mathematical Physics 3 International Journal of Modern Physics A 3 Advances in Mathematics 2 Bulletin of the Australian Mathematical Society 2 Acta Applicandae Mathematicae 2 Annals of Global Analysis and Geometry 2 Expositiones Mathematicae 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Russian Journal of Mathematical Physics 2 Journal of Nonlinear Mathematical Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Geometry and Symmetry in Physics 1 International Journal of Modern Physics B 1 Communications in Algebra 1 Mathematical Notes 1 Nuclear Physics. B 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Acta Mathematica 1 Algebra and Logic 1 Annales de l’Institut Fourier 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Functional Analysis and its Applications 1 Gaṇita 1 Journal of Algebra 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 Bulletin of the Iranian Mathematical Society 1 Forum Mathematicum 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Georgian Mathematical Journal 1 Advances in Applied Clifford Algebras 1 Transformation Groups 1 Mathematical Physics, Analysis and Geometry 1 Journal of Group Theory 1 Annales Henri Poincaré 1 Analysis in Theory and Applications 1 International Journal of Geometric Methods in Modern Physics 1 Foundations of Physics 1 The European Physical Journal C. Particles and Fields 1 Proceedings of the Japan Academy 1 Japanese Journal of Mathematics. 3rd Series 1 Advances in Mathematical Physics 1 Analysis and Mathematical Physics 1 Mathematics all top 5 Cited in 31 Fields 86 Differential geometry (53-XX) 45 Quantum theory (81-XX) 29 Topological groups, Lie groups (22-XX) 27 Global analysis, analysis on manifolds (58-XX) 21 Functional analysis (46-XX) 16 Nonassociative rings and algebras (17-XX) 11 Several complex variables and analytic spaces (32-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 5 Associative rings and algebras (16-XX) 5 Mechanics of particles and systems (70-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Abstract harmonic analysis (43-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Category theory; homological algebra (18-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year