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佐藤 幹夫・論文リスト

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 kenkyu20 (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),
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

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