Papers by Mikio Sato
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Sato, M.
■
On a generalization of the concept of functions,
Proc. Japan Acad.
34(1958), 126--130.
Sato, M.
■
On a generalization of the concept of functions II,
Proc. Japan Acad.
34(1958), 604--608.
佐藤 幹夫
■
超函数の理論,
数学
10 (1958), 1--27.
[Sato, M.,
Theory of hyperfunctions, (Japanese)
Sugaku
10 (1958), 1--27.]
佐藤 幹夫 (中西襄・記)
■
超函数について(講義),
素粒子論研究
20 (1959) 6 号 p. 550-566.
[Sato, M. (written by N. Nakanishi)
Lecture on hyperfunctions, (Japanese)
Soryushiron kenkyu
20 (1959) p. 550-566]
Sato, M.,
■
Theory of hyperfunctions. I,
J. Fac. Sci. Univ. Tokyo. Sect. I,
8 (1959), 139--193.
Sato, M.,
■
Theory of hyperfunctions. II,
J. Fac. Sci. Univ. Tokyo. Sect. I,
8 (1960), 387--437.
Sato, M.,
Theory of linear differential equations, Lecture at the university of Tokyo, 1960. (notes by H. Komatsu, in Jpanese)
佐藤 幹夫 (土方 弘明・記)
■
Weil 予想と Ramanujan 予想,
数学の歩み 10-2 (1963) pp.2--7 (pp.56--61).
[Sato, M.,
Weil conjecture and Ramanujan's conjecture, (Japanese, notes by H. Hijikata)
Sugaku-no-Ayumi, 10-2 (1963) pp.2--7 (pp.56--61).]
佐藤幹夫 (上野健爾 記),
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あるゲームについて,
第 12 回代数分科会シンポジューム報告集, 1968, pp.123--136.
[ M. Sato,
On a game, (notes by K. Ueno)(in Japanese)
In
Proceedings of the 12th symposium
of the Algebra Section of the Mathematical Society of Japan, (1968), 123--136.]
佐藤 幹夫 / 一松 信
■
線型微分方程式系について,
RIMS kokyuroku 59 (1968), 225--237.
[Sato, M. and Hitotsumatsu, S.;
On systems of liinear differential equations,
RIMS Kokyuroku 59 (1968), 225--237.
佐藤 幹夫 (河合 隆裕・記)
■
超函数の構造について
Hyperfunctionsへの応用をみこんだ代数幾何のシンポジウム (1969) pp.4-1--4-30.
[Sato, M.,
Structure of hyperfunctions, (Japanese, notes by T. Kawai)
Report of Katata conference. 1969 pp.4-1--4-30.]
Sato, M., ■
Hyperfunctions and partial differential equations,
in Proceedings of the International Conference on Functional Analysis and Related Topics (Tokyo, 1969), Univ. Tokyo Press, Tokyo, 1970, pp.
91--94.
佐藤 幹夫 (新谷 卓郎・記) ■
概均質ベクトル空間の理論
数学の歩み, 15-1, 1970, pp. 85--157
[
Sato, M.,
The theory of prehomogeneous vector spaces, ,
Sugaku-no-Ayumi, 15-1, 1970, pp. 85--157 (notes by T. Shintani, in Japanese).]
佐藤 幹夫 (榎本 彦衛・記) ■
マヤ・ゲームの数学的理論,
数理解析研究所講究録 98 (1970), 105--135
[Sato, M.,
Mathematical theory of Maya game,
RIMS Kokyuroku, 98 (1970), 105--135 (notes by H. Enomoto, in Japanese).]
Sato, M., ■
Regularity of hyperfunctions solutions of partial differential equations,
RIMS Kokyuroku, 114 (1971), 105--123.
Sato, M., ■
Regularity of hyperfunctions solutions of partial differential equations,
``Actes du Congres International des Mathematiciens'' (Nice, 1970), Tome 2,
785--794. Gauthier-Villars, Paris, 1971.
Sato, M., ■
Singular orbits of prehomogeneous vector spaces and hypergeometric functions,
（邦題・概均質空間の特異軌跡と超幾何函数）
Lecture in Tokyo University (1971). (Notes by K. Aomoto in Japanese)
佐藤 幹夫 (浪川 幸彦・記) ■
超函数と層Cをめぐって : 代数解析学序論,
数理解析研究所講究録 126(1971).
[Sato, M.,
On the Hyperfunction and the Sheaf C, Introduction to Algebraic Analysis,(Japanese)
Lectures at Nagoya Univ., (Notes by Namikawa in Japanese)
RIMS Kokyuroku 126 (1971).]
Sato, M. and Shintani, T., ■
On zeta functions associated with prehomogeneous vector spaces,
Proc. Nat. Acad. Sci. U.S.A. 69 (1972), 1081--1082.
Sato, M., Kawai, T. and Kashiwara, M., ■
On pseudo-differential equations in hyperfunction theory,
RIMS Kokyuroku, 162 (1972), 136--144.
Sato, M., Kawai, T. and Kashiwara, M., ■
On the structure of single linear pseudo-differential equations,
Proc. Japan Acad. 48 (1972), 643--646.
Sato, M. ■
Microlocal structure of a single linear pseudodifferential equation,
Seminaire Goulaouic-Schwartz 1972--1973:
Equations aux derivees partielles et analyse fonctionnelle, Exp. No.
18, 9 pp. Centre de Math., Ecole Polytech., Paris, 1973.
佐藤 幹夫, 河合 隆裕, 柏原 正樹 ■
超函数論における擬微分方程式論,
数学 25 (1973), 213--238
[Sato, M., Kawai, T. and Kashiwara, M.
The theory of pseudodifferential equations in the theory of
hyperfunctions, (Japanese)
``Collection of articles on hyperfunctions'' Sugaku 25 (1973), 213--238.]
Sato, M., Kawai, T. and Kashiwara, M. ■
Microfunctions and pseudo-differential equations,
Hyperfunctions and pseudo-differential equations,
265--529. Lecture Notes in Math., 287, Springer, Berlin, 1973.
Sato, M., ■(see below)
Pseudo-differential equations and theta functions,
``Colloque International CNRS sur les Equations aux Derivees
Partielles Lineaires'' (Univ. Paris-Sud, Orsay, 1972),
Ast\'erisque, 2 et 3 Soc. Math. France, Paris, (1973) 286--291.
Sato, M., ■
Pseudo-differential equations and theta functions,
RIMS Kokyuroku, 201 (1974) 247--252 (reprinted from the above).
Sato, M. and Shintani, T., ■
On zeta functions associated with prehomogeneous vector spaces,
Ann. of Math. (2) 100 (1974), 131--170.
佐藤 幹夫 (河合 隆裕・記) ■
S行列のミクロ解析性について (I) ,
数理解析研究所講究録 209, 1974, pp. 11--25.
[
Sato, M.,
On the micro-analyticity of the S-matrix. I,
RIMS Kokyuroku, 209, 1974, pp. 11--25 (notes by T. Kawai, in Japanese).]
Sato, M. and Kashiwara, M., ■
The determinant of matrices of pseudo-differential operators,
Proc. Japan Acad. 51 (1975), 17--19.
Sato, M., ■
Reduced b-functions, (Japanese, Notes by Tamaki Yano).
RIMS Kokyuroku 225 (1975), 1--15.
佐藤 幹夫（神保 道夫・記） ■
Microlocal calculus. I,
数理解析研究所講究録 226 (1975) 114--167
[Sato, M., ■
Microlocal calculus. I,
RIMS Kokyuroku, 226 (1975) 114--167 (notes by M. Jimbo, in Japanese).]
Sato, M., ■
Recent development in hyperfunction
theory and its application to physics (microlocal analysis of
$S$-matrices and related quantities),
International Symposium on Mathematical Problems in Theoretical Physics
(Kyoto Univ., 1975), Lecture Notes in Phys., 39, Springer, Berlin, (1975), 13--29.
佐藤 幹夫 / 三輪 哲二 / 柏原 正樹 / 室 政和 ■
Imaginary Lagrangeanが現われる場合のFourier変換,
数理解析研究所講究録 248 (1975), 212--260.
[
Kashiwara, M., Sato, M., Miwa, T. and Muro, M.,
The Fourier transform in the case of an imaginary
Lagrangian, (Japanese)
RIMS Kokyuroku 248 (1975), 212--260.]
佐藤 幹夫 / 三輪 哲二 / 柏原 正樹 ■
Microlocal study of infinite systems,
数理解析研究所講究録 248 (1975), 261--292.
[Sato, M., Kashiwara, M. and Miwa, T.,
Microlocal study of infinite systems,(Japanese)
RIMS Kokyuroku 248 (1975), 261--292.]
Sato, M., Miwa, T. and Jimbo, M. ■
Dimension formula for the Landau singularity,
RIMS Kokyuroku 266 (1976), 91--107.
佐藤 幹夫 / 三輪 哲二 / 柏原 正樹 / 室 政和 ■
Erratum: Imaginary Lagrangeanが現われる場合のFourier変換,
数理解析研究所講究録 266 (1976), 235.
[
Kashiwara, M., Sato, M., Miwa, T. and Muro, M.,
Erratum: "The Fourier transform in the case of an imaginary Lagrangian), (Japanese)
RIMS Kokyuroku 266 (1976), 235.]
Sato, M., Miwa, T., Jimbo, M. and Oshima, T.; ■
Holonomy structure of Landau singularities and Feynman integrals,
Publ. Res. Inst. Math. Sci. 12 (1976/77), supplement, 387--439.
Sato, M. and Kimura, T., ■
A classification of irreducible prehomogeneous vector spaces and their relative invariants,
Nagoya Math. J. 65 (1977), 1--155.
Sato, M., Miwa, T. and Jimbo, M., ■
Studies on holonomic quantum fields. I,
RIMS Kokyuroku, 287 (1977), 42--48
Sato, Mikio; Miwa, Tetsuji; Jimbo, M.; ■
Studies in holonomic quantum fields , (Japanese)
RIMS Kokyuroku 295 (1977), 77--87.
Sato, M., Miwa, T. and Jimbo, M. ■
Studies on holonomic quantum fields. I,
Proc. Japan Acad. Ser. A Math. Sci. 53 (1977), 6--10.
Sato, M., Miwa, T. and Jimbo, M. ■
Studies on holonomic quantum fields. II,
Proc. Japan Acad. Ser. A Math. Sci. 53 (1977), 147--152.
Sato, M., Miwa, T. and Jimbo, M. ■
Studies on holonomic quantum fields. III,
Proc. Japan Acad. Ser. A Math. Sci. 53 (1977), 153--158.
Sato, M., Miwa, T. and Jimbo, M. ■
Studies on holonomic quantum fields. IV,
Proc. Japan Acad. Ser. A Math. Sci. 53 (1977), 183--185.
Sato, M., Miwa, T. and Jimbo, M. ■
Studies on holonomic quantum fields. V,
Proc. Japan Acad. Ser. A Math. Sci. 53 (1977), 219--224.
Sato, M., Miwa, T. and Jimbo, M. ■
Studies on holonomic quantum fields. VI,
Proc. Japan Acad. Ser. A Math. Sci. 54 (1978), 1--5.
Sato, M., Miwa, T. and Jimbo, M. ■
Studies on holonomic quantum fields. VII,
Proc. Japan Acad. Ser. A Math. Sci. 54 (1978), 36--41.
佐藤 幹夫 / 三輪 哲二 / 神保 道夫 ■
Studies on holonomic quantum fields--線型微分方程式の変形理論--,
数理解析研究所講究録 321 (1978) 132--160.
[Sato, M., Miwa, T. and Jimbo, M.,
Studies on holonomic quantum felds --a deformation theory of linear differential equations-- (in Japanese),
RIMS Kokyuroku, 321 (1978), 132--160.]
M. Jimbo, T. Miwa, and M. Sato ■
Monodromy preserving deformation of linear differential equations and quantum field theory, ,
Kakuyūgó Kenkyū 40, suppl. no. 3 (1978), 45--58. [核融合研究40 巻別冊3, (1978), 45--58.] (RIMS Preprints, RIMS-246)
Sato, M., Miwa, T. and Jimbo, M., ■
Holonomic quantum fields. I,
Publ. Res. Inst. Math. Sci. 14 (1978), 223--267.
Sato, M., Miwa, T. and Jimbo, M., ■
Studies on holonomic quantum fields. VIII,
Proc. Japan Acad. Ser. A Math. Sci. 54 (1978), 221--225.
Sato, M., Miwa, T. and Jimbo, M., ■
Studies on holonomic quantum fields. X,
Proc. Japan Acad. Ser. A Math. Sci. 54 (1978), 309--313.
Sato, M., Miwa, T. and Jimbo, M., ■
Studies on holonomic quantum fields. XI,
Proc. Japan Acad. Ser. A Math. Sci. 55 (1979), 6--9.
Sato, M., Miwa, T. and Jimbo, M., ■
Studies on holonomic quantum fields. XII,
Proc. Japan Acad. Ser. A Math. Sci. 55 (1979), 73--77.
Jimbo, M., Miwa, T. and Sato, M. ■
Studies on holonomic quantum fields. XV. Double scaling limit of one
dimensional $XY$ model,
Proc. Japan Acad. Ser. A Math. Sci. 55 (1979), 267--272.
Jimbo, M., Miwa, T., Mori, Y. and Sato, M., ■
Studies on holonomic quantum fields. XVI. Density matrix of
impenetrable Bose gas,
Proc. Japan Acad. Ser. A Math. Sci. 55 (1979), 317--322.
Sato, M., Miwa, T. and Jimbo, M., ■
Holonomic quantum fields. II, The Riemann-Hilbert problem,
Publ. Res. Inst. Math. Sci. 15 (1979), 201--278.
Sato, M., Miwa, T. and Jimbo, M., ■
Holonomic quantum fields. III,
Publ. Res. Inst. Math. Sci. 15 (1979), 577--629.
Sato, M., Miwa, T. and Jimbo, M., ■
Holonomic quantum fields. IV,
Publ. Res. Inst. Math. Sci. 15 (1979), 871--972.
Sato, M., Miwa, T. and Jimbo, M., ■
Higher dimensional holonomic quantum fields
, （邦題：高次元のholonomic quantum fields）
RIMS Kokyuroku, 349, 1979, pp. 45-50 (in Japanese).
Sato, M., Miwa, T. and Jimbo, M., ■
Federbush model,（邦題：Federbush 模型）
RIMS
Kokyuroku, 349, 1979, pp. 56--63 (in Japanese).
Sato, M., Miwa, T. and Jimbo, M., ■
On the density matrix for impenetrable boson,（邦題：Impenetrable boson の密度行列）
RIMS Kokyuroku, 361 (1979), 180--183 (in Japanese).
Jimbo, M., Miwa, T., Mori, Y. and Sato, M., ■
H. Q. F. '79,
RIMS Kokyuroku, 375 (1980), 6--12 (in Japanese).
Jimbo, M., Miwa, T., Mori, Y. and Sato, M., ■
Density matrix of an impenetrable Bose gas and the fifth
Painleve transcendent, Physica D 1 (1980), 80--158.
Jimbo, M., Miwa, T., Sato, M. and Mori, Y., ■
Holonomic quantum fields. The unanticipated link between
deformation theory of differential equations and quantum fields,
Mathematical problems in theoretical physics (Proc. Internat. Conf.
Math. Phys., Lausanne, 1979), 119--142,
Lecture Notes in Phys., 116, Springer, Berlin, (1980).
Sato, M., Miwa, T. and Jimbo, M., ■
Aspects of holonomic quantum fields. Isomonodromic deformation and Ising
model,
Complex analysis, microlocal calculus and relativistic quantum theory (Proc. Internat. Colloq., Centre Phys., Les Houches, 1979),
429--491, Lecture Notes in Phys., 126, Springer, Berlin, (1980).
Sato, M., Miwa, T. and Jimbo, M. ■
Holonomic quantum fields. V,
Publ. Res. Inst. Math. Sci. 16 (1980), 531--584.
Sato, M., ■
Problems on deformation theory,
RIMS Kokyuroku, 388 (1980), 1--10 (in Japanese).
（邦題：変形理論をめぐる問題）
Sato, M. and Mori, Y., ■
On Hirota's bilinear equations,
RIMS Kokyuroku, 388 (1980), 183-204 (in Japanese).
M. Sato. M. Kashiwara T. Kimura and T. Oshima ■
Micro-local analysis of prehomogeneous vector spaces,
Invent. Math. 62 (1980) , 117--179
Jimbo, M., Miwa, T. and Sato, M., ■
Supplement to: "Holonomic quantum fields. IV",
Publ. Res. Inst. Math. Sci. 17 (1981), 137--151.
Sato, M. and Sato, Y., ■
On Hirota's bilinear equations. II,
RIMS Kokyuroku, 414 1981, pp. 181--202 (in Japanese).
（邦題：広田氏のbilinear equations について. II）
Sato, M., ■
Soliton equations as dynamical systems on infinite-dimensional Grassmann manifolds,
RIMS Kokyuroku, 439 1981, pp.
30--46.
Sato, M. and Sato, Y., ■
Soliton equations as dynamical systems on infinite-dimensional
Grassmann manifold,
Nonlinear partial differential equations in applied science (Tokyo,
1982), 259--271, North-Holland Math. Stud., 81, North-Holland, 1983.
Sato, M., Kashiwara, M. and Kawai, T., ■
Linear differential equations of infinite order and theta functions,
Adv. in Math. 47 (1983), 300--325.
Sato, M.,
Monodromy theory and holonomic quantum fields -- a new
link between mathematics and theoretical physics,
Talk at the Warsaw Congress, 1983 (unpublished).
Sato, M., Kashiwara, M. and Kawai, T., ■ (preprint version)
Microlocal analysis of theta functions,
Group representations and systems of differential equations (Tokyo, 1982),
267--289, Adv. Stud. Pure Math., 4, North-Holland, Amsterdam, 1984.
佐藤幹夫・述、野海正俊記 ■
ソリトン方程式と普遍グラスマン多様体,
上智大学数学講究録 18 (1984).
[Sato, M.,
Soliton equations and the Universal Grassmann manifold, (Japanese).
Notes by Masatoshi Noumi. Sophia Univ. Lecture Note 18 (1984).]
Sato, M., ■
D-modules and differential equations （邦題：D 加群と微分方程式）,
RIMS Kokyuroku, 668
(1988) 120--214 (notes by T. Konno, in Japanese).
Sato, M., ■ (See below)
The KP hierarchy and in nite-dimensional Grassman manifolds,
A Survey of Algebraical Analysis (代数解析学の展望)
RIMS Kokyuroku, 675 (1988) 95--123 (notes by K. Takasaki).
Sato, M., ■
The KP hierarchy and infinite-dimensional Grassmann manifolds,
Theta functions---Bowdoin (Brunswick, ME, 1987),
Proc. Sympos. Pure Math., 49, Part 1 (1989), 51--66.
Sato, M., ■
D-modules and nonlinear systems,
Integrable systems in quantum field theory and statistical mechanics,
Adv. Stud. Pure Math., 19 (1989), 417--434.
Sato, M., ■
D-modules and nonlinear integrable systems,
Algebraic analysis, geometry, and number theory (Baltimore, MD, 1988), Johns Hopkins Univ. Press, Baltimore, MD, 1989, pp. 325--339.
Sato, M., ■
Mikio Sato Lecture Notes, (Kyoto Univ., 1984, 1985), （佐藤幹夫講義録1984年度・1985年度1学期）
RIMS Lecture Note 5 (1989). (Notes by Toru Umeda in Japanese)
Sato, M., ■
Theory of prehomogeneous vector spaces (algebraic part) --- the English translation of Sato's lecture from Shintani's note,
Notes by Takuro Shintani. Translated from the Japanese by Masakazu Muro.
Nagoya Math. J. 120 (1990), 1--34.
(1989), 325--339.
Sato, M., Aoki, T., Kawai, T. and Takei, Y., ■
Algebraic analysis of singular perturbations （邦題：特異摂動の代数解析）,
RIMS Kokyuroku, 750, 1991, pp. 43{51 (notes
by A. Kaneko, in Japanese).
Sato, M., ■
Algebraic analysis and I（邦題：代数解析学と私）,
RIMS Kokyuroku 810 (1992), 164--217. (Notes by Y. Ohyama in Japanese)
etc
佐藤幹夫
私の数学～佐藤超函数とその周辺
数学セミナー 1981.4 p14
佐藤幹夫
オイラーの数学―代数解析の立場から
数学セミナー 1983.11 p8
佐藤幹夫
方程式について(記：斎藤睦)
数学セミナー 1986.2 16
数学セミナー 2001.3 36 [再録]
佐藤幹夫
代数解析の周辺
数学セミナー 1988.2 p.7
「数学のたのしみ」. 13 号（1999 年 6 月刊）日本評論社
木村達雄編 佐藤幹夫ほか著 ;
佐藤幹夫の数学
日本評論社 2007.8; 2014.9 増補版
