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Author ID: sato.mikio Recent zbMATH articles by "Sato, Mikio"
Published as: Sato, Mikio; Sato, M.; Satō, Mikio
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

Publications by Year

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
268
1973
Classification of irreducible prehomogeneous vector spaces and their invariants. Zbl 0321.14030
Sato, M.; Kimura, T.
212
1977
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007
Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio
123
1980
On zeta functions associated with prehomogeneous vector spaces. Zbl 0309.10014
Sato, Mikio; Shintani, Takuro
96
1974
Soliton equations as dynamical systems on infinite dimensional Grassmann manifold. Zbl 0528.58020
Sato, Mikio; Sato, Yasuko
70
1983
Theory of hyperfunctions. I. Zbl 0087.31402
Sato, Mikio
68
1959
Holonomic quantum fields. I. Zbl 0383.35066
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
60
1978
Micro-local analysis of prehomogeneous vector spaces. Zbl 0456.58034
Sato, M.; Kashiwara, M.; Kimura, T.; Oshima, T.
48
1980
Holonomic quantum fields. II: The Riemann-Hilbert problem. Zbl 0433.35058
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
48
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
48
1990
Holonomic quantum fields. IV. Zbl 0436.35077
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
37
1979
Holonomic quantum fields. V. Zbl 0479.35072
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
36
1980
Soliton equations as dynamical systems on an infinite dimensional Grassmann manifolds. Zbl 0507.58029
Sato, Mikio
33
1981
Theory of hyperfunctions. II. Zbl 0097.31404
Sato, Mikio
31
1960
Holonomic quantum fields. III. Zbl 0436.35076
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
30
1979
Soliton equations and the universal Grassmann manifold. Notes by M. Noumi. Zbl 0541.58001
Sato, M.
19
1984
Hyperfunctions and partial differential equations. Zbl 0208.35801
Sato, M.
17
1970
The determinant of matrices of pseudo-differential operators. Zbl 0337.35067
Sato, Mikio; Kashiwara, Masaki
15
1975
The KP hierarchy and infinite-dimensional Grassmann manifolds. Zbl 0688.58016
Sato, Mikio
14
1989
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
Linear Differential equations of infinite order and theta functions. Zbl 0546.35047
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
7
1983
On a generalization of the concept of functions. Zbl 0080.32303
Sato, Mikio
7
1958
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
Recent development in hyperfunction theory and its application to physics (microlocal analysis of S-matrices and related quantities). Zbl 0331.46033
Sato, Mikio
5
1975
Microlocal analysis of theta functions. Zbl 0603.10023
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
5
1984
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
48
1990
The KP hierarchy and infinite-dimensional Grassmann manifolds. Zbl 0688.58016
Sato, Mikio
14
1989
Soliton equations and the universal Grassmann manifold. Notes by M. Noumi. Zbl 0541.58001
Sato, M.
19
1984
Microlocal analysis of theta functions. Zbl 0603.10023
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
5
1984
Soliton equations as dynamical systems on infinite dimensional Grassmann manifold. Zbl 0528.58020
Sato, Mikio; Sato, Yasuko
70
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
33
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
123
1980
Micro-local analysis of prehomogeneous vector spaces. Zbl 0456.58034
Sato, M.; Kashiwara, M.; Kimura, T.; Oshima, T.
48
1980
Holonomic quantum fields. V. Zbl 0479.35072
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
36
1980
Holonomic quantum fields. II: The Riemann-Hilbert problem. Zbl 0433.35058
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
48
1979
Holonomic quantum fields. IV. Zbl 0436.35077
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
37
1979
Holonomic quantum fields. III. Zbl 0436.35076
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
30
1979
Holonomic quantum fields. I. Zbl 0383.35066
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
60
1978
Classification of irreducible prehomogeneous vector spaces and their invariants. Zbl 0321.14030
Sato, M.; Kimura, T.
212
1977
The determinant of matrices of pseudo-differential operators. Zbl 0337.35067
Sato, Mikio; Kashiwara, Masaki
15
1975
Recent development in hyperfunction theory and its application to physics (microlocal analysis of S-matrices and related quantities). Zbl 0331.46033
Sato, Mikio
5
1975
On zeta functions associated with prehomogeneous vector spaces. Zbl 0309.10014
Sato, Mikio; Shintani, Takuro
96
1974
Microfunctions and pseudo-differential equations. Zbl 0277.46039
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
268
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.
17
1970
Theory of hyperfunctions. II. Zbl 0097.31404
Sato, Mikio
31
1960
Theory of hyperfunctions. I. Zbl 0087.31402
Sato, Mikio
68
1959
On a generalization of the concept of functions. Zbl 0080.32303
Sato, Mikio
7
1958
On a generalization of the concept of functions. II. Zbl 0087.31401
Sato, Mikio
5
1958
all top 5

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
all top 5

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
all top 5

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)

Citations by Year

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