著 作 物 リ ス ト (List of Publications)
I. 論文(Research Articles)
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[1] コンパクト作用素の初等的理論, Riesz-Schauder の理論の一つの拡張, 数学の歩み 14-2 (1969), 33-39.
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[2] A genera1ization of the Riesz-Schauder theory, Proc. Japan Acad. 46 (1970), 223-225.
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[3] 定数係数線型偏微分方程式の解の孤立特異点について, 数理解析研究所講究録 108 (1971), 72-88.
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[4] 定数係数線型偏微分方程式系の正則解の接続について, 東京大学修士論文, 1970
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[5] On continuation of regular solutions of Partial differential equations to compact convex sets, J. Sci. Univ. Tokyo Sec.1A 17 (1970), 567-580.
pdf
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[6] Fundamental Principle について, 数理解析研究所講究録 114 (1971), 82-104.
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[7] On continuation of regular solutions of partial differential equations to compact convex sets II, J. Fac. Univ. Tokyo Sec.IA 18 (1972), 415-433.
pdf
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[8] On the structure of hyperfunctions with compact supports, Proc. Japan Acad. 47 Suppl. II (1971), 956-959.
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[9] A new characterization of real analytic functions, Proc. Japan Acad. 47 (1971), 774-775.
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[10] Hyperfunction の measure による表現について, 数理解析研究所講究録 145 (1972), 92-108.
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[11] Representation of hyperfunctions by measures and some of its applications, J. Fac. Sci. Univ. Tokyo Sec.IA 19 (1972), 321-352.
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[12] Theorems on the extension of solutions, 数理解析研究所講究録 162 (1972), 21-37. Correction 201 (1974), 253-256.
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[13] Fundamental Principle and extension of solutions of linear differential equations with constant coefficients, Lecture Notes in Math 287, Springer, 1973, pp.122-134.
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[14] 実解析函数の一つの特徴づけ,数理解析研究所講究録 168 (1972), 125-129.
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[15] On the structure of Fourier hyperfunctions, Proc. Japan Acad. 48 (1972), 651-653.
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[16] On continuation of regular solutions of partial differential equations withconstant coefficients, Proc. Japan Acad. 49 (1973), 17-19.
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[17] On continuation of regular solutions of partial differential equations with constant coefficients, J. Math. Soc. Japan 26 (1974), 92-123.
pdf is available here
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[18] 定数係数線型偏微分方程式系の超函数解の接続について, 数理解析研究所講究録, 192 (1973), 432-442.
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[19] 超函数と定数係数線型偏微分方程式論(河合隆裕氏と共著),数学(超函数特集号) 25 (1973), 239-253.
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[20] Generalized unique continuation property for hyperfunctions with real analytic parameters, 数理解析研究所講究録 209 (1974), 118-124.
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[21] コホモロジー的境界値に対する位相的考察,数理解析研究所講究録 227 (1975), 12-22.
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[22] Remarks on hyperfunctions with analytic parameters, J. Fac. Sci. Univ. ToKyo Sec.IA 22 (1975), 371-407. pdf is available here
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[23] 定数係数線型偏微分方程式の解の線状特異集合について,数理解析研究所講究録 226 (1975), 1-20.
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[24] On linear exceptional sets of solutions of linear partial differential equations with constant coefficients, Publ. RIMS Kyoto Univ. 11 (1975), 441-460.
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[25] Note on continuation of real analytic solutions of partial differential equations with constant coeffic1ents, Proc. Japan Acad. 51 (1975), 262-264.
pdf is available here
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[26] Remarks on continuation of real analytic solutions, 数理解析研究所講究録 248 (1975), 170-174.
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[27] 定数係数線型偏微分方程式の実解析解の境界値の特異スペクトルの評価について,数理解析研究所講究録 248 (1975), 175-187.
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[28] On the singular spectrum of boundary values of real analytic solutions. J. Math. Soc. Japan 29 (1977), 385-398.
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[29] On continuation of regular solutions of linear partial differential equations with real analytic coefficients, Proc. Japan Acad. 51 Suppl. (1975), 798-801.
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[30] Singular spectrum of boundary values of solutions of partial differential equations with real analytic coefficients, Sci. Pap. Coll. Gen. Educ. Univ. Tokyo 25 (1975), 59-68.pdf is available here (See Errata in [38].)
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[31] 一般線型偏微分方程式に対する局所境界値問題とその応用,数理解析研究所講究録 266 (1976), 176-188.
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[32] Note on regular fundamental solutions and some other topics, 数理解析研究所講究録 281 (1975), 200-210.
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[33] Analyticity of minimal dimensional singularity of real analytic solutions, Sci. Pap. Coll. Gen. Educ. Univ. Tokyo 26 (1976), 1-5.
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[34] On continuation of regular solutions of linear partial differential equations, Publ. RIMS Kyoto Univ. 12 Suppl. (1977), 113-121.
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[35] Prolongement des solutions r\'eguli\`eres de l'equation aux
deriv\'ees partielles \`a coefficients constants, S\'eminaire
Goulaouic-Schwartz 1976/7, Expos\'e no.18. (MR0509090)
Offprint image is here!
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[36] Remarks on hyperfunctions with analytic parameters II, J. Fac. Sci. Univ. Tokyo Sec.IA 25 (1978), 67-73.pdf is available here
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[37] 定数係数線型偏微分方程式の実解析解の境界値の特異スペクトルについて II, 数理解析研究所講究録 355 (1979), 130-138.
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[38] Estimation of singular spectrum of boundary values for some semihyperbolic operators, J. Fac. Sci. Univ. ToKyo Sec.IA 27 (1980), 401-461. pdf is available here
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[39] 角のある領域における超函数論的境界値問題, 数理解析研究所講究録 361 (1979), 44-65.
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[40] 境界に沿う特異性の伝磁界象と実解析解の接続, 数理解析研究所講究録 431 (1981), 236-247.
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[41] On continuation of real analytic solutions of linear partial
differential equations, Ast\'erisque 89-90, Soc. Math. France, 1981,
pp.11-44. (MR0666402)
pdf is available here
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[42] On the propagation of micro-analyticity along the boundary, J. Fac. Sci. Univ. Tokyo Sec.IA 29 (1982), 319-352.pdf is available here
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[43] 大域的実解析解の存在に関する河合氏の結果の非有界領域への拡張 / Esistenza globale di soluzioni analitiche reali in un aperto illimitato, 数理解析研究所講究録 508 (1983), 67-91.
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[44] 実解析解の極小次元特異点集合の解析性について,数理解析研究所講究録 533 (1984), 256-271.
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[45] 有界領域上の実解析解の大域的存在のための sharp な十分条件,数理解析研究所講究録 558 (1985), 292-295.
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[46] On the global existence of real analytic solutions of linear partial differential equations on unbounded domain, J. Fac. Sci. Univ. Tokyo Sec.IA 32 (1985), 319-372.pdf is available here
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[47] Removable singularities of solutions of systems of linear partial differential equations with real analytic coefficients, Ann. Math. Stat. Dankook Univ. 12 (1984), 17-28.
Offprint image is here!
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[48] A sharp sufficient geometric condition for the existence of global real analytic solutions on a bounded domain, J. Math. Soc. Japan 39 (1987), 163-170.
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[49] Remarks on necessary conditions for the existence of global real analytic solutions of linear partial differential equations on a compact set, J. Fac. Sci. Univ. Tokyo Sec.IA 32 (1985), 417-427.pdf is available here
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[50] Some open problems in hyperfunction theory, Ann. Math. Stat. Dankook Univ. 13 (1985), 11-19.
Offprint image is here!
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[51] 凸錐状特異点への実解析解の接続,数理解析研究所講究録 558 (1985), 292-295.
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[52] On the analyticity of the locus of singularity of real analytic solutions with minimal dimension, Nagoya Math. J. 104 (1986), 163-184.
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[53] On the flabbiness of the sheaf of Fourier microfunctions, Sci. Pap. Coll. Gen. Educ. Univ. Tokyo 36 (1986), 1-14.pdf is available here
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[54] A short course on the usage of hyperfunctions, Proceedings 6th workshop on pure and appl. amth., Seoul, 1986, pp.287-391.
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[55] Characterization of differential operators in hyperfunction theory, Ann. Math. Stat. Dankook Univ. 14 (1986), 1-19.
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[56] Nishino-Yamaguchi theory and its application to the theory of hyperfunctions, proceedings of workshop on pure mathematics, Volume 7, Part II, Seoul, 1987, pp.241-261.
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[57] On Hartogs type continuation theorem for regular solutions of linear partial differential equations with constant coefficients, J. Fac. Sci. Univ. Tokyo Sect.1A 35 (1988), 1-26.pdf is available here
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[58] 実解析パラメータを持つ超函数について,数理解析研究所講究録 675 (1988), 70-78.
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[59] On hyperfunctions with analytic parameters, in Algebraic Analysis in honor of M. Sato, Vol.1, Academic Press, 1988, pp.267-276.
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[60] A topological characterization of hyperfunctions with real analytic parameters, Sci. Pap. Coll. Arts Sci. Univ. Tokyo 38 (1988),1-6.
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[61] Hartogs type extension theorem of real analytic solutions of linear partial differential equations with constant coefficients, Proceedings NATO Symposium on Fr\'echet Spaces, Kluwer, 1989, pp.63-72.
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[62] Note on the reproducing property of the Bergman kernel, Proc. Japan Acad. 65 (1989), 119-122.
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[63] (with Eun Gu LEE) Condition of partial hyperbolicity modulo a linear subvariety for operators with constant coefficients, J. Fac. Sci. Univ. Tokyo Sect.1A 36 (1989), 329-346.pdf is available here
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[64] On continuation of $C^\infty$-solutions of systems of linear partial differential equations to a thin compact set, Ann. Math. Stat. Dankook Univ. 17 (1990), 57-60.
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[65] Analyticit\'e du lieu de singularit\'e de dimension minimale d'une solution analytique r\'eelle, in Geometrical and Algebraical Aspects in Several Complex Variables, Editel, 1991, pp.155-167.
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[66] On continuation of regular solutions of linear partial
differential equations, Banach Center Publications Vol. 27 (1992),
183-195. (MR1205825)
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[67] (with S. Ohta) Critical exponent of blowup for semilinear heat
equation on a product domain, J. Fac. Sci. Univ. Tokyo Sec.1A 40
(1994), 635-650. (MR1269031) pdf is available here
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[68] О продолжении аналитических решений
линейных диференциальных уравнений
с частными производными,
Trudy Sankt-Peterburskogo Mat. Obw. 4
(1996),157-164.
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[69] (with T. Takiguchi) Hyperfunctions and Radon transform, Proceedings of International Symposium on CT, Novosibirsk, VSP press, 1994, pp. 259-263.
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[70] Radon transform. Theory and practice, Proceedings of 14th Workshop,Vol. II, Seoul, 1994, pp.1-25.
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[71] (with T. Takiguchi) Radon transform of hyperfunctions and support
theorem, Hokkaido J. of Math. 24 (1995), 63-103. (MR1319031)
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[72] On the global solvability of linear partial differential
equations with constant coefficients in the space of real analytic
functions, Banach Center Publications 33 (1996),
149-160. (MR1449154)
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[73] On continuation of Gevrey class solutions of linear partial differential
equations, J. Math. Sci. Univ. of Tokyo, 4 (1997),
551-593. (MR1484602)
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[74] 幾何学的トモグラフィ, 津田塾大学数学・計算機科学研究所報, No. 13, 1997,
pp.54-66. preprintはここです.
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[75] On continuation of Gevrey class solutions of linear partial differential
equations, Proceedings 7th Int. Colloq. on Diff. Eq.,VSP, 1997, pp.197-204.
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[76] 線型偏微分方程式の Gevrey 級解の接続について, 千葉大学数学セミナリーノート No.1, pp.7-15.
プレプリントはここです.
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[77] Liouville type theorem for solutions of infra-exponential growth of linear
partial differential equations with constant coefficients, Natural Sci. Report
Ochanomizu Univ. 49 (1998), 1-5. (MR1693006)
pdf is available here. See [81] for an enlarged version.
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[78] (with Balandin A.) Maximum Entropy Method for sign-altering functions,
Inverse Problems, 15 (1999),445-463. (MR1684470)
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[79] On extension of analytic solutions of linear partial differential
equations (translated from Russian by Olga Plamenevskaja),
Amer. Math. Soc. Transl. 188 (1999), 105-110. (MR1732429)
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[80] (with Huang L.) Reconstruction of plane figures from two projections,
in ``Discrete Tomography'', Proceedings, (Eds. Herman and Kuba), Birkhauser,
1999, pp.115-135. (MR1722462)
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[81] Liouville type theorem for solutions of linear partial differential
equations with constant coefficients, Annales Polonici Math.
74 (2000), 143-149. (MR1808993)
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[82] Explicit construction of Fourier hyperfunctions supported at
infinity, in ``Microlocal Analysis and Complex Fourier Analysis'', World
Scientific, 2002, pp.99 - 114. (MR2068531)
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[83] (with Shimizu E.) Implementation of algebraic-geometric code
by a Miura curve and its visualization, Nat. Sci. Report Ochanomizu
Univ. 54-1 (2003), 13-18. (MR2047259) pdf is available here
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[84] (with Balandin A.) 3D vector tomography reconstruction
by series expansion method, in ``Inverse Problems in Engineering Mechanics
IV'', Proc. Intern. Symp. on Inverse Problems in Engineering
Mechanics 2003, Nagano, M. TANAKA (Ed.), Elsevier, 2003, pp.513 - 520.
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[85] (二瓶典子, 松川悦子, 虫鹿里佳と共著)
メンタルポーカーとコイン投げの教育用実装, SCIS 2004, 3C1-5, pp.849 - 854
修正版の pdf ファイルはここです
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[86] (古藤かおり, 清水英子と共著)
代数幾何符号の画像への組み込みと電子透かしへの応用, SCIS 2005, 2C3-2,
pp.721 - 726
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[87]
ベクトル型 ElGamal 暗号について, SCIS 2005, 4F1-2, pp.1831 - 1836
修正版の pdf ファイルはここです
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[88] (With Rina Nagahama) Structure of total reconstructed sets
from given two projection data, Electric Notes in Disc. Math.
20, (2005). pp.27 - 46, Elsevier.
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[89] (古藤かおりと共著) 代数幾何符号の画像への応用
— 512 バイトエルミート符号と JPEG 画像 —, SCIS2006, 4F-3.
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[90] (With Rina Nagahama) Switching graphs and digraphs associated
with total reconstructed sets from two projection data,
Nat. Sci. Report Ochanomizu Univ. 56-2 (2005),
33-45.pdf is available here
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[91] (With Rina Nagahama) Reconstruction algorithm and switching graph
for two-projection tomography with prohibited subregion,
DGCI 2006, A. Kuba et al. (Eds), Lecture Notes in Computer Sciences
4245, Springer, pp. 110-121.
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[92] (With Shie Nishikawa) Critical exponent for logarithmic
singularity of nonlinear heat equation,
Nat. Sci. Report Ochanomizu Univ. 57-2 (2006),
1-6.pdf is available here
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[93] (With Rina Nagahama) Reconstruction from two projections
with prohibited subregion
-- Algorithm, Switching Graph and Consistency,
Nat. Sci. Report Ochanomizu Univ. 57-2 (2006),
7-18.pdf is available here
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[94] (長濱里奈, 粕川正充と共著)
電子署名への可視マーカーの埋め込み, SCIS2007, 2C4-6.
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[95] (吉野絵美, 三浦晋示と共著) C34 曲線上のペアリング,
SCIS2008, 2D4-5.
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[96] (梅澤真美と共著)
マスターキーの構成と安全性の検討, SCIS2009, 2B1-3.
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[97] (With Shie Nishikawa) Critical exponent of blowup for
heat equation with logarithmic nonlinearity on paraboloidal domain,
Nat. Sci. Report Ochanomizu Univ. 60-1 (2009), 1-13.
pdf is
available here
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[98] (With Rina Nagahama) Enumeration of switching graphs of small orders,
Nat. Sci. Report Ochanomizu Univ. 60-1 (2009), 31-44.
pdf is available here
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[99] (玉田竜子と共著)
口唇の動きを利用した顔画像による顔認証システム,
SCIS2010, 1F1-1.
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[100] (内藤章子と共著)
NP 問題と概零知識証明, SCIS2010, 2B4-1.
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[101] (余田史絵と共著) Ubuntu Linux での気象庁 Nhm のメイクと六甲おろしのシミュレーション, 弟13回非静力学モデルに関するワークショップ報告集,pp. 68-89.
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[102] (柴田絢子・粕川正充と共著) 空間曲線の曲率のオンライン筆跡鑑定への応用.
SCIS2012 講演記録 1F1-1.
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[103] (中村蓉子・粕川正充と共著) 整数上の完全凖同型暗号の実装実験.
SCIS2012 講演記録 3B3-5.
II. 著書・レクチャーノート (Books and Lecture Notes)
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[1] 定数係数線型偏微分方程式,岩波講座基礎数学,1976.
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[2] Introduction \`a la Th\'eorie des hyperfonctions I, II, Lecture Notes, Universit\'e de Grenoble, 1977/8.
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[3] 超函数入門,上,東京大学出版会,1980
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[4] ニュートン図形・特異点・振動積分,上智大学講究録 No.11,1981
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[5] 超函数入門,下,東京大学出版会,1982
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[6] Introduction to Micro-local Theory of Linear Partial Differential Equations, マニラ解析学ワークショップの講義録, Preprint J-TOKYO-MATH 87-10, 1987.
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[7] Introduction to Hyperfunctions, (translated from Japanese by Yutaka Yamamoto), Kluwer, Tokyo, 1988.
List of Errata in PS file is available here.
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[8] Introduction to Kashiwara's Microlocal Analysis for Bergman Kernel, Lecture Notes, KAIST, Seoul, 1989. (Preprint is available here. (List of Errata is in preparation.)
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[9] 解析演習(杉浦・清水・岡本と共著),東京大学出版会,1989.
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[10] 教養の数学・計算機,東京大学出版会,1991.
正誤表(アスキーファイル)がここにあります
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[11] 超函数入門(新版),東京大学出版会,1996.
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[12] 偏微分方程式入門,東京大学出版会,1998.
関連ホームページがここにあります.
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[13] 数理系のための基礎と応用微分積分 I, サイエンス社, 2000.
関連ホームページがここにあります.
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[14] 数理系のための基礎と応用微分積分 II, サイエンス社, 2001.
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[15] 線形代数講義, サイエンス社, 2004.
関連ホームページがここにあります.
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[16] 応用代数講義, サイエンス社, 2005.
関連ホームページがここにあります.
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[17] 数値計算講義, サイエンス社, 2009.
関連ホームページがここにあります.
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[18] 数理基礎論講義, サイエンス社, 2010.
関連ホームページがここにあります.
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[19] 基礎演習微分積分(竹尾富貴子と共著), サイエンス社,2012.
関連ホームページがここにあります.
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[20] 微分方程式講義, サイエンス社, 2014.
関連ホームページがここにあります.
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[21] 基礎演習微分方程式, サイエンス社, 2015.
関連ホームページがここにあります.
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[22] 基礎演習線形代数, サイエンス社, 2017.
関連ホームページがここにあります.
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[23] 関数論講義, サイエンス社, 2021.
関連ホームページがここにあります.
III. 解説記事 (Expository Articles)
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[1] 特集/数学の魅力『函数解析』,数学セミナー,1984 年 5 月号, pp.19-21.
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[2] 一つの私的立場からの佐藤超函数の歴史(上),(中),(下),数学セミナー,1986 年 3 月号, pp.68-74; 4 月号, pp.76-83, 5 月号, pp.78-85 (数学セミナーリーディングズ『現代数学のあゆみ3』, pp.15-35 に合再録).
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[3] 佐藤幹夫,世界科学者事典 - 5, pp.75-76, 原書房,1987.
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[4] Hyperfunction, Encyclopedia of Mathematics, Reidel, Vol. 4, 1989, pp.507-509.
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[5] Microlocal analysis, Encyclopedia of Mathematics, Reidel, Vol. 6, 1990, pp.223-225.
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[6] 《数学の方向》偏微分方程式,数理科学,1994 年 7 月号, pp.70-77.
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[7] 超函数,ブリタニカ国際大百科事典第3版,1995 年, Vol.13, pp. --; 偏微分方程式,同,Vol.18,pp --.#出たはずなんだが、まだ見かけない ;_;
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[8] コンピュータ・トモグラフィの歴史,数学セミナー別冊『二十世紀の数学』, 1998, pp.72-94. (20 世紀数学シンポジウム(津田塾大1995)で配布したPreprint)
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[9] Fourier hyoerfunctions, Encyclopedia of Mathematics, Reidel, Suppl. Vol. II, 2000, pp.224-227.
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[10] 線型偏微分方程式の漸近解析, 数学のたのしみ Vol.24, 2001, pp.72-90.
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[11] フーリエ級数・フーリエ展開, 数学セミナー 2005 年 5 月号,
pp.54-60.
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[12] εδ論法の直観的理解, 数理科学 2009 年 5 月号, pp.14-20.
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[13] 波動方程式,双曲型偏微分方程式, 朝倉数学辞典,朝倉書店, 2016, pp.622-623.
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[14] ロシアの数学, ロシア文化事典,丸善, 2019, pp.622-623.
IV. 翻訳 (Translations)
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[1] パラモドフ『定数係数線型微分作用素』(内山・森本と共訳,原著ロシア語),吉岡書店,1972, 1973.
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[2] マスロフ『摂動論と漸近的方法』(大内・村田と共訳,原著ロシア語),岩波書店,1976.
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[3] デュードンネ編『数学史I, II, III』(上野・浪川・森田・山下と共訳,原著フランス語),岩波書店,1985.
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[4] グロエッチュ『数理物理の逆問題』(滝口・山本と共訳,原著英語),サイエンス社,1996.
V. プログラム開発 (Programming Products)
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[1] 教養の数学・計算機パック(Pro-FORTRAN77 用グラフィックサブルーチンライブラリ(8086 アセンブラ)とそれを用いた FORTRAN プログラム見本),東京大学出版会,1991.
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[2] 日本数学会欧文誌『Journal』編集用ソフト(C言語),1995. (多分もう使われていないでしょうね. 一応 2000 年問題の対策はしといたけど. (^^;)
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