## Sato, Mikio

Compute Distance To:
 Author ID: sato.mikio Published as: Sato, Mikio; Sato, M.; Satō, Mikio more...less Further Spellings: 佐藤 幹夫 External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef Awards: Wolf Prize (2003)
 Documents Indexed: 37 Publications since 1958, including 2 Books 3 Further Contributions Biographic References: 17 Publications Co-Authors: 10 Co-Authors with 22 Joint Publications 194 Co-Co-Authors
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### Co-Authors

 14 single-authored 9 Jimbo, Michio 9 Miwa, Tetsuji 6 Kashiwara, Masaki 4 Kawai, Takahiro 4 Shintani, Takuro 3 Kimura, Tatsuo 2 Muro, Masakazu 2 Oshima, Toshio 2 Sato, Yasuko 1 Aoki, Kazuhiko 1 Bryant, Robert L. 1 Chau, Albert 1 Date, Etsuro 1 Falbel, Elisha 1 Fefferman, Charles Louis 1 Flaschka, Hermann 1 Friedman, Robert M. 1 Futaki, Akito 1 Griffiths, Phillip Augustus 1 Hirota, Ryogo 1 Ichikawa, Yoshi-Hiko 1 Ito, Mitsuhiro 1 Kametaka, Yoshinori 1 1 Kohn, Joseph J. 1 Konno, Kimiaki 1 Mok, Ngaiming 1 Morgan, John W. 1 Mori, Shigefumi 1 Mori, Yasuko 1 Nakamura, Yoshimasa 1 Namba, Makoto 1 Noguchi, Junjiro 1 Noumi, Masatoshi 1 Ohsawa, Takeo 1 Oishi, Shin’ichi 1 Phong, Duong Hong 1 Shibata, Ryoichi 1 Shimizu, Toru 1 Siu, Yum-Tong 1 Takeno, Shōzū 1 Toda, Morikazu 1 Ueno, Kisaburō 1 Wadachi, Mitsuki 1 Yano, Tamaki 1 Yau, Shing-Tung
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### Serials

 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Proceedings of the Japan Academy 2 Nagoya Mathematical Journal 2 Journal of the Faculty of Science. Section I 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Physica D 1 Proceedings of the National Academy of Sciences of the United States of America 1 Notices of the American Mathematical Society 1 Annals of Mathematics. Second Series 1 Sophia Kokyuroku in Mathematics 1 Journal of Theoretical Biology
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### Fields

 19 Partial differential equations (35-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Algebraic geometry (14-XX) 7 Quantum theory (81-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Functional analysis (46-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Number theory (11-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

29 Publications have been cited 1,332 times in 1,052 Documents Cited by Year
Microfunctions and pseudo-differential equations. Zbl 0277.46039
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
1973
Classification of irreducible prehomogeneous vector spaces and their invariants. Zbl 0321.14030
Sato, M.; Kimura, T.
1977
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007
Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio
1980
On zeta functions associated with prehomogeneous vector spaces. Zbl 0309.10014
Sato, Mikio; Shintani, Takuro
1974
Soliton equations as dynamical systems on infinite dimensional Grassmann manifold. Zbl 0528.58020
Sato, Mikio; Sato, Yasuko
1983
Theory of hyperfunctions. I. Zbl 0087.31402
Sato, Mikio
1959
Holonomic quantum fields. I. Zbl 0383.35066
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
1978
Micro-local analysis of prehomogeneous vector spaces. Zbl 0456.58034
Sato, M.; Kashiwara, M.; Kimura, T.; Oshima, T.
1980
Holonomic quantum fields. II: The Riemann-Hilbert problem. Zbl 0433.35058
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
1979
Theory of prehomogeneous vector spaces. (Algebraic part). - The English translation of Sato’s lecture from Shintani’s note. Zbl 0715.22014
Sato, Mikio; Shintani, Takuro; Muro, Masakazu
1990
Holonomic quantum fields. IV. Zbl 0436.35077
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
1979
Holonomic quantum fields. V. Zbl 0479.35072
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
1980
Soliton equations as dynamical systems on an infinite dimensional Grassmann manifolds. Zbl 0507.58029
Sato, Mikio
1981
Theory of hyperfunctions. II. Zbl 0097.31404
Sato, Mikio
1960
Holonomic quantum fields. III. Zbl 0436.35076
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
1979
Soliton equations and the universal Grassmann manifold. Notes by M. Noumi. Zbl 0541.58001
Sato, M.
1984
Hyperfunctions and partial differential equations. Zbl 0208.35801
Sato, M.
1970
The determinant of matrices of pseudo-differential operators. Zbl 0337.35067
Sato, Mikio; Kashiwara, Masaki
1975
The KP hierarchy and infinite-dimensional Grassmann manifolds. Zbl 0688.58016
Sato, Mikio
1989
On zeta functions associated with prehomogeneous vector spaces (algebraic groups/gamma function/Dirichlet series). Zbl 0249.10034
Sato, Mikio; Shintani, Takuro
1972
Regularity of hyperfunction solutions of partial differential equations. Zbl 0232.35004
Sato, Mikio
1971
Linear Differential equations of infinite order and theta functions. Zbl 0546.35047
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
1983
On a generalization of the concept of functions. Zbl 0080.32303
Sato, Mikio
1958
On the structure of single linear pseudo-differential equations. Zbl 0297.35069
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
1972
Pseudo-differential equations and theta functions. Zbl 0288.35045
Sato, Mikio
1973
Recent development in hyperfunction theory and its application to physics (microlocal analysis of S-matrices and related quantities). Zbl 0331.46033
Sato, Mikio
1975
Microlocal analysis of theta functions. Zbl 0603.10023
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
1984
On a generalization of the concept of functions. II. Zbl 0087.31401
Sato, Mikio
1958
Supplement to holonomic quantum fields. IV. Zbl 0455.35116
Jimbo, Michio; Miwa, Tetsuji; Sato, Mikio
1981
Theory of prehomogeneous vector spaces. (Algebraic part). - The English translation of Sato’s lecture from Shintani’s note. Zbl 0715.22014
Sato, Mikio; Shintani, Takuro; Muro, Masakazu
1990
The KP hierarchy and infinite-dimensional Grassmann manifolds. Zbl 0688.58016
Sato, Mikio
1989
Soliton equations and the universal Grassmann manifold. Notes by M. Noumi. Zbl 0541.58001
Sato, M.
1984
Microlocal analysis of theta functions. Zbl 0603.10023
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
1984
Soliton equations as dynamical systems on infinite dimensional Grassmann manifold. Zbl 0528.58020
Sato, Mikio; Sato, Yasuko
1983
Linear Differential equations of infinite order and theta functions. Zbl 0546.35047
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
1983
Soliton equations as dynamical systems on an infinite dimensional Grassmann manifolds. Zbl 0507.58029
Sato, Mikio
1981
Supplement to holonomic quantum fields. IV. Zbl 0455.35116
Jimbo, Michio; Miwa, Tetsuji; Sato, Mikio
1981
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007
Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio
1980
Micro-local analysis of prehomogeneous vector spaces. Zbl 0456.58034
Sato, M.; Kashiwara, M.; Kimura, T.; Oshima, T.
1980
Holonomic quantum fields. V. Zbl 0479.35072
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
1980
Holonomic quantum fields. II: The Riemann-Hilbert problem. Zbl 0433.35058
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
1979
Holonomic quantum fields. IV. Zbl 0436.35077
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
1979
Holonomic quantum fields. III. Zbl 0436.35076
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
1979
Holonomic quantum fields. I. Zbl 0383.35066
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
1978
Classification of irreducible prehomogeneous vector spaces and their invariants. Zbl 0321.14030
Sato, M.; Kimura, T.
1977
The determinant of matrices of pseudo-differential operators. Zbl 0337.35067
Sato, Mikio; Kashiwara, Masaki
1975
Recent development in hyperfunction theory and its application to physics (microlocal analysis of S-matrices and related quantities). Zbl 0331.46033
Sato, Mikio
1975
On zeta functions associated with prehomogeneous vector spaces. Zbl 0309.10014
Sato, Mikio; Shintani, Takuro
1974
Microfunctions and pseudo-differential equations. Zbl 0277.46039
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
1973
Pseudo-differential equations and theta functions. Zbl 0288.35045
Sato, Mikio
1973
On zeta functions associated with prehomogeneous vector spaces (algebraic groups/gamma function/Dirichlet series). Zbl 0249.10034
Sato, Mikio; Shintani, Takuro
1972
On the structure of single linear pseudo-differential equations. Zbl 0297.35069
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
1972
Regularity of hyperfunction solutions of partial differential equations. Zbl 0232.35004
Sato, Mikio
1971
Hyperfunctions and partial differential equations. Zbl 0208.35801
Sato, M.
1970
Theory of hyperfunctions. II. Zbl 0097.31404
Sato, Mikio
1960
Theory of hyperfunctions. I. Zbl 0087.31402
Sato, Mikio
1959
On a generalization of the concept of functions. Zbl 0080.32303
Sato, Mikio
1958
On a generalization of the concept of functions. II. Zbl 0087.31401
Sato, Mikio
1958
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### Cited by 942 Authors

 44 Kawai, Takahiro 43 Kashiwara, Masaki 26 Schapira, Pierre 15 Kimura, Tatsuo 12 Its, Alexander Rudolfovich 12 Oaku, Toshinori 12 Palmer, John N. 12 Yukie, Akihiko 11 Lisovyy, Oleg 11 Tracy, Craig Arnold 10 Aoki, Takashi 10 Muro, Masakazu 10 Rubenthaler, Hubert 10 Tose, Nobuyuki 9 Adler, Mark 9 Korepin, Vladimir E. 9 Oshima, Toshio 9 Sato, Fumihiro 9 Sato, Mikio 9 Takasaki, Kanehisa 9 van Moerbeke, Pierre 8 D’Agnolo, Andrea 8 Gavrylenko, Pavlo 8 Kozlowski, Karol Kajetan 8 Miwa, Tetsuji 8 Slavnov, Nikita A. 8 Uchida, Motoo 8 Widom, Harold 7 Gyoja, Akihiko 7 Kac, Victor G. 7 Laurent, Yves 7 Lőrincz, András Cristian 7 Monteiro Fernandes, Maria Teresa de Lemos 7 Pilipović, Stevan 7 Shiota, Takahiro 6 Forrester, Peter J. 6 Kable, Anthony C. 6 Kogiso, Takeyoshi 6 Morimoto, Mitsuo 6 Takeuchi, Kiyoshi 5 Boutet de Monvel, Louis 5 Doyon, Benjamin 5 Ferrari, Franco 5 Jimbo, Michio 5 Kohnen, Winfried 5 Maillet, Jean-Michel 5 Malgrange, Bernard 5 Okada, Yasunori 5 Stapp, Henry P. 5 Suleĭmanov, Bulat Irekovich 5 Tajima, Shinichi 5 Zabrodin, Anton V. 5 Zampieri, Giuseppe 4 Abramov, Sergeĭ Aleksandrovich 4 Andronikof, Emmanuel 4 Bhargava, Manjul 4 Chen, Yang 4 Garibaldi, Skip 4 Harnad, John 4 Helmstetter, Jacques 4 Izergin, Anatoli G. 4 Kitanine, N. A. 4 Korotkin, Dmitrii A. 4 Krichever, Igor’ Moiseevich 4 Langenbruch, Michael 4 Manivel, Laurent 4 Muller, Iris 4 Nakayashiki, Atsushi 4 Ozeki, Ikuzo 4 Previato, Emma 4 Quinto, Eric Todd 4 Saito, Morihiko 4 Sevenheck, Christian 4 Struppa, Daniele Carlo 4 Takei, Yoshitsugu 4 Terras, Véronique 4 Weyman, Jerzy M. 3 Ablowitz, Mark Jay 3 Basor, Estelle L. 3 Benci, Vieri 3 Bengel, Gunter 3 Biliotti, Leonardo 3 Bony, Jean-Michel 3 Burde, Dietrich 3 Castro-Alvaredo, Olalla A. 3 Cecotti, Sergio 3 Chen, Shaoshi 3 Damon, James Norman 3 Deift, Percy A. 3 Đoković, Dragomir Ž. 3 Domański, Paweł 3 Dorfmeister, Josef F. 3 Eie, Minking 3 Falqui, Gregorio 3 Fokas, Athanassios S. 3 Glazebrook, James F. 3 Globke, Wolfgang 3 Guzzetti, Davide 3 Haine, Luc 3 Harvey, Reese ...and 842 more Authors
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### Cited in 181 Serials

 77 Communications in Mathematical Physics 71 Publications of the Research Institute for Mathematical Sciences, Kyoto University 66 Proceedings of the Japan Academy. Series A 49 Journal of Algebra 39 Annales de l’Institut Fourier 33 Inventiones Mathematicae 32 Proceedings of the Japan Academy 31 Duke Mathematical Journal 25 Transactions of the American Mathematical Society 22 Journal of Mathematical Physics 20 Advances in Mathematics 19 Nagoya Mathematical Journal 19 Proceedings of the American Mathematical Society 18 Theoretical and Mathematical Physics 18 Physica D 17 Tôhoku Mathematical Journal. Second Series 16 Mathematische Annalen 15 Bulletin de la Société Mathématique de France 15 Journal of High Energy Physics 14 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 13 Journal of Geometry and Physics 10 Letters in Mathematical Physics 10 Compositio Mathematica 10 Mathematische Zeitschrift 8 Nuclear Physics. B 8 Journal of Functional Analysis 8 Journal of Number Theory 8 Advances in Applied Mathematics 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Functional Analysis and its Applications 7 Journal of Pure and Applied Algebra 7 Transformation Groups 6 Communications on Pure and Applied Mathematics 6 Journal of Statistical Physics 6 Bulletin of the American Mathematical Society. New Series 6 Journal of Mathematical Sciences (New York) 6 Mathematical Physics, Analysis and Geometry 6 Journal of Statistical Mechanics: Theory and Experiment 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Journal of Mathematical Analysis and Applications 5 Acta Applicandae Mathematicae 5 Journal of Symbolic Computation 5 Advances in Applied Clifford Algebras 5 Selecta Mathematica. New Series 5 Representation Theory 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal d’Analyse Mathématique 4 Physics Letters. A 4 Manuscripta Mathematica 4 Michigan Mathematical Journal 4 Rendiconti del Seminario Matematico della Università di Padova 4 Studies in Applied Mathematics 4 Tokyo Journal of Mathematics 4 Constructive Approximation 4 International Journal of Mathematics 4 Communications in Partial Differential Equations 4 Mémoires de la Société Mathématique de France. Nouvelle Série 4 Annals of Mathematics. Second Series 4 Complex Analysis and Operator Theory 4 Journal of Physics A: Mathematical and Theoretical 4 Kyoto Journal of Mathematics 3 Communications in Algebra 3 Computers & Mathematics with Applications 3 Reports on Mathematical Physics 3 Rocky Mountain Journal of Mathematics 3 Mathematics of Computation 3 Acta Mathematica 3 Publications Mathématiques 3 Journal of Computational and Applied Mathematics 3 Journal of the Mathematical Society of Japan 3 Journal of Soviet Mathematics 3 Indagationes Mathematicae. New Series 3 Bulletin des Sciences Mathématiques 3 Annales Henri Poincaré 3 Bulletin of the American Mathematical Society 3 Proceedings of the Steklov Institute of Mathematics 3 Ufimskiĭ Matematicheskiĭ Zhurnal 2 International Journal of Modern Physics A 2 Bulletin of the Australian Mathematical Society 2 International Journal of Theoretical Physics 2 Arkiv för Matematik 2 Beiträge zur Algebra und Geometrie 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Differential Equations 2 Journal of the American Mathematical Society 2 Neural Computation 2 Differential Geometry and its Applications 2 The Journal of Geometric Analysis 2 Historia Mathematica 2 Linear Algebra and its Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Integral Transforms and Special Functions 2 Izvestiya: Mathematics 2 The Journal of Fourier Analysis and Applications 2 Algebras and Representation Theory 2 Regular and Chaotic Dynamics 2 Journal of Nonlinear Mathematical Physics 2 Computational Methods and Function Theory ...and 81 more Serials
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### Cited in 52 Fields

 278 Partial differential equations (35-XX) 227 Algebraic geometry (14-XX) 189 Several complex variables and analytic spaces (32-XX) 141 Global analysis, analysis on manifolds (58-XX) 136 Quantum theory (81-XX) 127 Number theory (11-XX) 115 Dynamical systems and ergodic theory (37-XX) 112 Functional analysis (46-XX) 91 Ordinary differential equations (34-XX) 89 Nonassociative rings and algebras (17-XX) 72 Group theory and generalizations (20-XX) 63 Linear and multilinear algebra; matrix theory (15-XX) 61 Topological groups, Lie groups (22-XX) 60 Differential geometry (53-XX) 60 Statistical mechanics, structure of matter (82-XX) 56 Special functions (33-XX) 51 Operator theory (47-XX) 43 Associative rings and algebras (16-XX) 38 Commutative algebra (13-XX) 36 Probability theory and stochastic processes (60-XX) 21 Integral transforms, operational calculus (44-XX) 20 Functions of a complex variable (30-XX) 18 Combinatorics (05-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 17 Abstract harmonic analysis (43-XX) 13 Manifolds and cell complexes (57-XX) 13 Mechanics of particles and systems (70-XX) 12 Category theory; homological algebra (18-XX) 10 Algebraic topology (55-XX) 10 Numerical analysis (65-XX) 9 Difference and functional equations (39-XX) 9 Computer science (68-XX) 9 Relativity and gravitational theory (83-XX) 8 Integral equations (45-XX) 7 Field theory and polynomials (12-XX) 6 History and biography (01-XX) 6 Fluid mechanics (76-XX) 4 Real functions (26-XX) 4 Convex and discrete geometry (52-XX) 4 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 3 $$K$$-theory (19-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Sequences, series, summability (40-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Mechanics of deformable solids (74-XX)

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