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