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Sato, Mikio (b. 1928 d. 2023)

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

30 Publications have been cited 1,470 times in 1,143 Documents Cited by Year
Microfunctions and pseudo-differential equations. Zbl 0277.46039
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
274
1973
Classification of irreducible prehomogeneous vector spaces and their invariants. Zbl 0321.14030
Sato, M.; Kimura, T.
220
1977
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007
Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio
137
1980
On zeta functions associated with prehomogeneous vector spaces. Zbl 0309.10014
Sato, Mikio; Shintani, Takuro
102
1974
Soliton equations as dynamical systems on infinite dimensional Grassmann manifold. Zbl 0528.58020
Sato, Mikio; Sato, Yasuko
85
1983
Theory of hyperfunctions. I. Zbl 0087.31402
Sato, Mikio
71
1959
Holonomic quantum fields. I. Zbl 0383.35066
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
67
1978
Soliton equations as dynamical systems on an infinite dimensional Grassmann manifolds. Zbl 0507.58029
Sato, Mikio
59
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
55
1990
Holonomic quantum fields. IV. Zbl 0436.35077
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
53
1979
Micro-local analysis of prehomogeneous vector spaces. Zbl 0456.58034
Sato, M.; Kashiwara, M.; Kimura, T.; Oshima, T.
52
1980
Holonomic quantum fields. II: The Riemann-Hilbert problem. Zbl 0433.35058
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
51
1979
Holonomic quantum fields. V. Zbl 0479.35072
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
39
1980
Holonomic quantum fields. III. Zbl 0436.35076
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
34
1979
Theory of hyperfunctions. II. Zbl 0097.31404
Sato, Mikio
32
1960
Soliton equations and the universal Grassmann manifold. Notes by M. Noumi. Zbl 0541.58001
Sato, M.
22
1984
Hyperfunctions and partial differential equations. Zbl 0208.35801
Sato, M.
20
1970
The KP hierarchy and infinite-dimensional Grassmann manifolds. Zbl 0688.58016
Sato, Mikio
16
1989
The determinant of matrices of pseudo-differential operators. Zbl 0337.35067
Sato, Mikio; Kashiwara, Masaki
15
1975
On zeta functions associated with prehomogeneous vector spaces (algebraic groups/gamma function/Dirichlet series). Zbl 0249.10034
Sato, Mikio; Shintani, Takuro
12
1972
Regularity of hyperfunction solutions of partial differential equations. Zbl 0232.35004
Sato, Mikio
10
1971
Linear Differential equations of infinite order and theta functions. Zbl 0546.35047
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
8
1983
On a generalization of the concept of functions. Zbl 0080.32303
Sato, Mikio
7
1958
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
Microlocal analysis of theta functions. Zbl 0603.10023
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
5
1984
Supplement to holonomic quantum fields. IV. Zbl 0455.35116
Jimbo, Michio; Miwa, Tetsuji; Sato, Mikio
1
1981
Holonomy structure of Landau singularities and Feynman integrals. Zbl 0385.35003
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio; Oshima, Toshio
1
1977
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
55
1990
The KP hierarchy and infinite-dimensional Grassmann manifolds. Zbl 0688.58016
Sato, Mikio
16
1989
Soliton equations and the universal Grassmann manifold. Notes by M. Noumi. Zbl 0541.58001
Sato, M.
22
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
85
1983
Linear Differential equations of infinite order and theta functions. Zbl 0546.35047
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
8
1983
Soliton equations as dynamical systems on an infinite dimensional Grassmann manifolds. Zbl 0507.58029
Sato, Mikio
59
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
137
1980
Micro-local analysis of prehomogeneous vector spaces. Zbl 0456.58034
Sato, M.; Kashiwara, M.; Kimura, T.; Oshima, T.
52
1980
Holonomic quantum fields. V. Zbl 0479.35072
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
39
1980
Holonomic quantum fields. IV. Zbl 0436.35077
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
53
1979
Holonomic quantum fields. II: The Riemann-Hilbert problem. Zbl 0433.35058
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
51
1979
Holonomic quantum fields. III. Zbl 0436.35076
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
34
1979
Holonomic quantum fields. I. Zbl 0383.35066
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio
67
1978
Classification of irreducible prehomogeneous vector spaces and their invariants. Zbl 0321.14030
Sato, M.; Kimura, T.
220
1977
Holonomy structure of Landau singularities and Feynman integrals. Zbl 0385.35003
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio; Oshima, Toshio
1
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
6
1975
On zeta functions associated with prehomogeneous vector spaces. Zbl 0309.10014
Sato, Mikio; Shintani, Takuro
102
1974
Microfunctions and pseudo-differential equations. Zbl 0277.46039
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
274
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
12
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
10
1971
Hyperfunctions and partial differential equations. Zbl 0208.35801
Sato, M.
20
1970
Theory of hyperfunctions. II. Zbl 0097.31404
Sato, Mikio
32
1960
Theory of hyperfunctions. I. Zbl 0087.31402
Sato, Mikio
71
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 1,057 Authors

44 Kawai, Takahiro
43 Kashiwara, Masaki
29 Schapira, Pierre
15 Kimura, Tatsuo
14 Yukie, Akihiko
12 Its, Alexander Rudolfovich
12 Oaku, Toshinori
12 Palmer, John N.
11 Lisovyy, Oleg
11 Tracy, Craig Arnold
10 Aoki, Takashi
10 Muro, Masakazu
10 Rubenthaler, Hubert
10 Sato, Fumihiro
10 Tose, Nobuyuki
9 Adler, Mark
9 Korepin, Vladimir E.
9 Oshima, Toshio
9 Sato, Mikio
9 Takasaki, Kanehisa
9 van Moerbeke, Pierre
8 D’Agnolo, Andrea
8 Gavrylenko, Pavlo
8 Kac, Victor G.
8 Kozlowski, Karol Kajetan
8 Lőrincz, András Cristian
8 Miwa, Tetsuji
8 Slavnov, Nikita A.
8 Uchida, Motoo
8 Widom, Harold
7 Forrester, Peter J.
7 Gyoja, Akihiko
7 Kogiso, Takeyoshi
7 Laurent, Yves
7 Monteiro Fernandes, Maria Teresa de Lemos
7 Pilipović, Stevan
7 Shiota, Takahiro
6 Doyon, Benjamin
6 Harnad, John
6 Kable, Anthony C.
6 Morimoto, Mitsuo
6 Takeuchi, Kiyoshi
5 Boutet de Monvel, Louis
5 Chen, Yang
5 Ferrari, Franco
5 Garibaldi, Skip
5 Guzzetti, Davide
5 Helmstetter, Jacques
5 Jimbo, Michio
5 Kohnen, Winfried
5 Maillet, Jean-Michel
5 Malgrange, Bernard
5 Nakayashiki, Atsushi
5 Núñez-Betancourt, Luis
5 Okada, Yasunori
5 Previato, Emma
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 Benci, Vieri
4 Bhargava, Manjul
4 Fokas, Athanassios S.
4 Izergin, Anatoli G.
4 Jeffries, Jack
4 Kitanine, N. A.
4 Korotkin, Dmitrii A.
4 Krichever, Igor’ Moiseevich
4 Langenbruch, Michael
4 Manivel, Laurent
4 Muller, Iris
4 Orlov, Aleksandr Yu.
4 Ozeki, Ikuzo
4 Quinto, Eric Todd
4 Saito, Morihiko
4 Sevenheck, Christian
4 Struppa, Daniele Carlo
4 Takei, Yoshitsugu
4 Terras, Véronique
4 Walther, Uli
4 Weyman, Jerzy M.
4 Xu, Shuaixia
3 Ablowitz, Mark Jay
3 Alexandrov, Alexander Sergeevich
3 Àlvarez Montaner, Josep
3 Basor, Estelle L.
3 Bengel, Gunter
3 Bezrodnykh, Sergeĭ I.
3 Biliotti, Leonardo
3 Bogdanov, Leonid Vital’evich
3 Bony, Jean-Michel
3 Burde, Dietrich
3 Castro-Alvaredo, Olalla A.
3 Cecotti, Sergio
3 Chen, Shaoshi
3 Dai, Dan
3 Damon, James Norman
...and 957 more Authors
all top 5

Cited in 194 Serials

81 Communications in Mathematical Physics
73 Publications of the Research Institute for Mathematical Sciences, Kyoto University
66 Proceedings of the Japan Academy. Series A
51 Journal of Algebra
39 Annales de l’Institut Fourier
33 Inventiones Mathematicae
32 Proceedings of the Japan Academy
31 Duke Mathematical Journal
27 Transactions of the American Mathematical Society
24 Journal of Mathematical Physics
23 Physica D
21 Theoretical and Mathematical Physics
21 Advances in Mathematics
20 Nagoya Mathematical Journal
20 Journal of High Energy Physics
19 Proceedings of the American Mathematical Society
17 Tôhoku Mathematical Journal. Second Series
16 Bulletin de la Société Mathématique de France
16 Mathematische Annalen
15 Letters in Mathematical Physics
15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
14 Journal of Geometry and Physics
11 Compositio Mathematica
10 Journal of Number Theory
10 Mathematische Zeitschrift
10 Journal of Physics A: Mathematical and Theoretical
9 Nuclear Physics. B
8 Journal of Functional Analysis
8 Advances in Applied Mathematics
8 Selecta Mathematica. New Series
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 Journal of Symbolic Computation
7 Transformation Groups
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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 Advances in Applied Clifford Algebras
6 Mathematical Physics, Analysis and Geometry
6 Annales Henri Poincaré
6 Journal of Statistical Mechanics: Theory and Experiment
5 Journal of Mathematical Analysis and Applications
5 Michigan Mathematical Journal
5 Acta Applicandae Mathematicae
5 International Journal of Mathematics
5 Representation Theory
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Physics Letters. A
4 Manuscripta Mathematica
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 Annals of Mathematics. Second Series
4 Oberwolfach Reports
4 Complex Analysis and Operator Theory
4 Kyoto Journal of Mathematics
3 Communications in Algebra
3 Computers & Mathematics with Applications
3 Journal d’Analyse Mathématique
3 Nonlinearity
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 Linear Algebra and its Applications
3 Indagationes Mathematicae. New Series
3 Bulletin des Sciences Mathématiques
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 Beiträge zur Algebra und Geometrie
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal of Differential Equations
2 Journal of the American Mathematical Society
2 Forum Mathematicum
2 Neural Networks
2 Neural Computation
2 Differential Geometry and its Applications
2 The Journal of Geometric Analysis
2 Historia Mathematica
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Kyushu Journal of Mathematics
2 Integral Transforms and Special Functions
2 Izvestiya: Mathematics
...and 94 more Serials
all top 5

Cited in 54 Fields

298 Partial differential equations (35-XX)
249 Algebraic geometry (14-XX)
198 Several complex variables and analytic spaces (32-XX)
157 Quantum theory (81-XX)
143 Global analysis, analysis on manifolds (58-XX)
138 Dynamical systems and ergodic theory (37-XX)
137 Number theory (11-XX)
115 Functional analysis (46-XX)
103 Ordinary differential equations (34-XX)
94 Nonassociative rings and algebras (17-XX)
78 Group theory and generalizations (20-XX)
70 Linear and multilinear algebra; matrix theory (15-XX)
67 Special functions (33-XX)
66 Topological groups, Lie groups (22-XX)
64 Differential geometry (53-XX)
62 Statistical mechanics, structure of matter (82-XX)
55 Operator theory (47-XX)
48 Commutative algebra (13-XX)
48 Associative rings and algebras (16-XX)
40 Probability theory and stochastic processes (60-XX)
25 Functions of a complex variable (30-XX)
21 Combinatorics (05-XX)
21 Integral transforms, operational calculus (44-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
18 Abstract harmonic analysis (43-XX)
15 Mechanics of particles and systems (70-XX)
14 Category theory; homological algebra (18-XX)
14 Manifolds and cell complexes (57-XX)
13 Algebraic topology (55-XX)
12 Numerical analysis (65-XX)
11 Computer science (68-XX)
10 Difference and functional equations (39-XX)
10 Integral equations (45-XX)
9 Relativity and gravitational theory (83-XX)
7 History and biography (01-XX)
7 Field theory and polynomials (12-XX)
7 Fluid mechanics (76-XX)
6 Information and communication theory, circuits (94-XX)
5 General and overarching topics; collections (00-XX)
5 Real functions (26-XX)
5 Convex and discrete geometry (52-XX)
5 Statistics (62-XX)
4 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)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Optics, electromagnetic theory (78-XX)
2 Systems theory; control (93-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Mechanics of deformable solids (74-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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