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Sato, Mikio

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Author ID: sato.mikio Recent zbMATH articles by "Sato, Mikio"
Published as: Sato, M.; Sato, Mikio; Satō, Mikio
External Links: MGP · Wikidata · dblp · GND · MacTutor
Awards: Wolf Prize (2003)
Documents Indexed: 37 Publications since 1958, including 2 Books
Biographic References: 16 Publications

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 1,363 times in 1,079 Documents Cited by Year
Microfunctions and pseudo-differential equations. Zbl 0277.46039
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
291
1973
Classification of irreducible prehomogeneous vector spaces and their invariants. Zbl 0321.14030
Sato, M.; Kimura, T.
203
1977
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007
Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio
122
1980
On zeta functions associated with prehomogeneous vector spaces. Zbl 0309.10014
Sato, Mikio; Shintani, Takuro
92
1974
Soliton equations as dynamical systems on infinite dimensional Grassmann manifold. Zbl 0528.58020
Sato, Mikio; Sato, Yasuko
86
1983
Theory of hyperfunctions. I. Zbl 0087.31402
Sato, Mikio
67
1959
Holonomic quantum fields. I. Zbl 0383.35066
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
59
1978
Soliton equations as dynamical systems on an infinite dimensional Grassmann manifolds. Zbl 0507.58029
Sato, Mikio
47
1981
Holonomic quantum fields. II: The Riemann-Hilbert problem. Zbl 0433.35058
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
47
1979
Micro-local analysis of prehomogeneous vector spaces. Zbl 0456.58034
Sato, M.; Kashiwara, M.; Kimura, T.; Oshima, T.
46
1980
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
41
1990
Holonomic quantum fields. V. Zbl 0479.35072
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
38
1980
Holonomic quantum fields. IV. Zbl 0436.35077
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
36
1979
Holonomic quantum fields. III. Zbl 0436.35076
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
31
1979
Theory of hyperfunctions. II. Zbl 0097.31404
Sato, Mikio
28
1960
The KP hierarchy and infinite-dimensional Grassmann manifolds. Zbl 0688.58016
Sato, Mikio
18
1989
Hyperfunctions and partial differential equations. Zbl 0208.35801
Sato, M.
18
1970
Soliton equations and the universal Grassmann manifold. Notes by M. Noumi. Zbl 0541.58001
Sato, M.
17
1984
The determinant of matrices of pseudo-differential operators. Zbl 0337.35067
Sato, Mikio; Kashiwara, Masaki
14
1975
On zeta functions associated with prehomogeneous vector spaces (algebraic groups/gamma function/Dirichlet series). Zbl 0249.10034
Sato, Mikio; Shintani, Takuro
9
1972
Regularity of hyperfunction solutions of partial differential equations. Zbl 0232.35004
Sato, Mikio
9
1971
On a generalization of the concept of functions. Zbl 0080.32303
Sato, Mikio
8
1958
Linear Differential equations of infinite order and theta functions. Zbl 0546.35047
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
7
1983
Microlocal analysis of theta functions. Zbl 0603.10023
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
6
1984
Recent development in hyperfunction theory and its application to physics (microlocal analysis of S-matrices and related quantities). Zbl 0331.46033
Sato, Mikio
6
1975
On the structure of single linear pseudo-differential equations. Zbl 0297.35069
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
6
1972
Pseudo-differential equations and theta functions. Zbl 0288.35045
Sato, Mikio
5
1973
On a generalization of the concept of functions. II. Zbl 0087.31401
Sato, Mikio
5
1958
Supplement to holonomic quantum fields. IV. Zbl 0455.35116
Jimbo, Michio; Miwa, Tetsuji; Sato, Mikio
1
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
41
1990
The KP hierarchy and infinite-dimensional Grassmann manifolds. Zbl 0688.58016
Sato, Mikio
18
1989
Soliton equations and the universal Grassmann manifold. Notes by M. Noumi. Zbl 0541.58001
Sato, M.
17
1984
Microlocal analysis of theta functions. Zbl 0603.10023
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
6
1984
Soliton equations as dynamical systems on infinite dimensional Grassmann manifold. Zbl 0528.58020
Sato, Mikio; Sato, Yasuko
86
1983
Linear Differential equations of infinite order and theta functions. Zbl 0546.35047
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
7
1983
Soliton equations as dynamical systems on an infinite dimensional Grassmann manifolds. Zbl 0507.58029
Sato, Mikio
47
1981
Supplement to holonomic quantum fields. IV. Zbl 0455.35116
Jimbo, Michio; Miwa, Tetsuji; Sato, Mikio
1
1981
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007
Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio
122
1980
Micro-local analysis of prehomogeneous vector spaces. Zbl 0456.58034
Sato, M.; Kashiwara, M.; Kimura, T.; Oshima, T.
46
1980
Holonomic quantum fields. V. Zbl 0479.35072
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
38
1980
Holonomic quantum fields. II: The Riemann-Hilbert problem. Zbl 0433.35058
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
47
1979
Holonomic quantum fields. IV. Zbl 0436.35077
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
36
1979
Holonomic quantum fields. III. Zbl 0436.35076
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
31
1979
Holonomic quantum fields. I. Zbl 0383.35066
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
59
1978
Classification of irreducible prehomogeneous vector spaces and their invariants. Zbl 0321.14030
Sato, M.; Kimura, T.
203
1977
The determinant of matrices of pseudo-differential operators. Zbl 0337.35067
Sato, Mikio; Kashiwara, Masaki
14
1975
Recent development in hyperfunction theory and its application to physics (microlocal analysis of S-matrices and related quantities). Zbl 0331.46033
Sato, Mikio
6
1975
On zeta functions associated with prehomogeneous vector spaces. Zbl 0309.10014
Sato, Mikio; Shintani, Takuro
92
1974
Microfunctions and pseudo-differential equations. Zbl 0277.46039
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
291
1973
Pseudo-differential equations and theta functions. Zbl 0288.35045
Sato, Mikio
5
1973
On zeta functions associated with prehomogeneous vector spaces (algebraic groups/gamma function/Dirichlet series). Zbl 0249.10034
Sato, Mikio; Shintani, Takuro
9
1972
On the structure of single linear pseudo-differential equations. Zbl 0297.35069
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
6
1972
Regularity of hyperfunction solutions of partial differential equations. Zbl 0232.35004
Sato, Mikio
9
1971
Hyperfunctions and partial differential equations. Zbl 0208.35801
Sato, M.
18
1970
Theory of hyperfunctions. II. Zbl 0097.31404
Sato, Mikio
28
1960
Theory of hyperfunctions. I. Zbl 0087.31402
Sato, Mikio
67
1959
On a generalization of the concept of functions. Zbl 0080.32303
Sato, Mikio
8
1958
On a generalization of the concept of functions. II. Zbl 0087.31401
Sato, Mikio
5
1958
all top 5

Cited by 993 Authors

48 Kawai, Takahiro
44 Kashiwara, Masaki
28 Schapira, Pierre
15 Kimura, Tatsuo
12 Oaku, Toshinori
12 Palmer, John N.
12 Yukie, Akihiko
11 Aoki, Takashi
11 Its, Alexander Rudolfovich
11 Tracy, Craig Arnold
10 D’Agnolo, Andrea
10 Lisovyy, Oleg
10 Muro, Masakazu
10 Rubenthaler, Hubert
10 Tose, Nobuyuki
9 Adler, Mark
9 Korepin, Vladimir E.
9 Miwa, Tetsuji
9 Oshima, Toshio
9 Sato, Fumihiro
9 Sato, Mikio
9 Slavnov, Nikita A.
9 Takasaki, Kanehisa
9 van Moerbeke, Pierre
8 Gyoja, Akihiko
8 Kozlowski, Karol Kajetan
8 Uchida, Motoo
8 Widom, Harold
7 Kac, Victor G.
7 Laurent, Yves
7 Mañas, Manuel
7 Monteiro Fernandes, Maria Teresa de Lemos
7 Pilipović, Stevan
7 Shiota, Takahiro
7 Takei, Yoshitsugu
7 Takeuchi, Kiyoshi
6 Gavrylenko, Pavlo
6 Jimbo, Michio
6 Kable, Anthony C.
6 Kogiso, Takeyoshi
6 Morimoto, Mitsuo
6 Okada, Yasunori
6 Zabrodin, Anton V.
5 Boutet de Monvel, Louis
5 Doyon, Benjamin
5 Ferrari, Franco
5 Forrester, Peter J.
5 Harnad, John
5 Kohnen, Winfried
5 Lőrincz, András Cristian
5 Maillet, Jean-Michel
5 Malgrange, Bernard
5 Quinto, Eric Todd
5 Stapp, Henry P.
5 Suleĭmanov, Bulat Irekovich
5 Zampieri, Giuseppe
4 Abramov, Sergeĭ Aleksandrovich
4 Andronikof, Emmanuel
4 Chen, Yang
4 Eynard, Bertrand
4 Falqui, Gregorio
4 Helmstetter, Jacques
4 Horozov, Emil Ivanov
4 Ishimura, Ryuichi
4 Izergin, Anatoli G.
4 Kitanine, N. A.
4 Koike, Tatsuya
4 Langenbruch, Michael
4 Liess, Otto
4 Muller, Iris
4 Ozeki, Ikuzo
4 Plaza Martín, Francisco José
4 Saito, Morihiko
4 Sevenheck, Christian
4 Struppa, Daniele Carlo
4 Tajima, Shinichi
4 Terras, Véronique
4 Weyman, Jerzy M.
3 Ablowitz, Mark Jay
3 Alexandrov, Alexander Sergeevich
3 Andruchow, Esteban
3 Ariznabarreta, Gerardo
3 Basor, Estelle L.
3 Benci, Vieri
3 Bengel, Gunter
3 Bhargava, Manjul
3 Biliotti, Leonardo
3 Bony, Jean-Michel
3 Calabrese, Pasquale
3 Castro-Alvaredo, Olalla A.
3 Cecotti, Sergio
3 Chapuy, Guillaume
3 Chen, Shaoshi
3 Damon, James Norman
3 Đoković, Dragomir Ž.
3 Domański, Pawel Jan
3 Dorfmeister, Josef F.
3 Eie, Minking
3 Fokas, Athanassios S.
3 Garibaldi, Skip
...and 893 more Authors
all top 5

Cited in 180 Serials

72 Communications in Mathematical Physics
70 Publications of the Research Institute for Mathematical Sciences, Kyoto University
66 Proceedings of the Japan Academy. Series A
51 Journal of Algebra
38 Annales de l’Institut Fourier
33 Advances in Mathematics
32 Proceedings of the Japan Academy
31 Duke Mathematical Journal
31 Inventiones Mathematicae
25 Transactions of the American Mathematical Society
24 Journal of Mathematical Physics
24 Journal of Geometry and Physics
21 Physica D
19 Proceedings of the American Mathematical Society
17 Theoretical and Mathematical Physics
17 Journal of Functional Analysis
17 Nagoya Mathematical Journal
17 Tohoku Mathematical Journal. Second Series
16 Mathematische Annalen
16 Journal of High Energy Physics
15 Bulletin de la Société Mathématique de France
14 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
11 Nuclear Physics. B
10 Compositio Mathematica
9 Letters in Mathematical Physics
9 Journal of Statistical Mechanics: Theory and Experiment
8 Mathematische Zeitschrift
8 Advances in Applied Mathematics
7 Journal of Mathematical Analysis and Applications
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 Journal of Number Theory
6 Journal of Mathematical Sciences (New York)
6 Mathematical Physics, Analysis and Geometry
5 Acta Applicandae Mathematicae
5 Journal of Symbolic Computation
5 Bulletin of the American Mathematical Society. New Series
5 Advances in Applied Clifford Algebras
5 Selecta Mathematica. New Series
5 Bulletin des Sciences Mathématiques
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Physics A: Mathematical and Theoretical
4 Journal d’Analyse Mathématique
4 Physics Letters. A
4 Reports on Mathematical Physics
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 Communications in Partial Differential Equations
4 Mémoires de la Société Mathématique de France. Nouvelle Série
4 Representation Theory
4 Annals of Mathematics. Second Series
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Complex Analysis and Operator Theory
4 Kyoto Journal of Mathematics
3 Communications in Algebra
3 Computers & Mathematics with Applications
3 Rocky Mountain Journal of Mathematics
3 Mathematics of Computation
3 Chaos, Solitons and Fractals
3 Acta Mathematica
3 Publications Mathématiques
3 Journal of Computational and Applied Mathematics
3 Journal of Differential Equations
3 Journal of the Mathematical Society of Japan
3 Journal of Soviet Mathematics
3 International Journal of Mathematics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Indagationes Mathematicae. New Series
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 International Journal of Theoretical Physics
2 Arkiv för Matematik
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annali di Matematica Pura ed Applicata. Serie Quarta
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 Nuclear Physics, B, Proceedings Supplements
2 Journal of Algebraic Geometry
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 80 more Serials
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Cited in 52 Fields

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

Citations by Year

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