Rchr
J-GLOBAL ID：200901062809020693
Update date: Jan. 31, 2024
Toshinori OAKU((]J1052[)AKU)
オオアク トシノリ | Toshinori OAKU((]J1052[)AKU)
Affiliation and department：
Homepage URL (1)：
http://lab.twcu.ac.jp/oaku/
Research field (1)：
Basic analysis
Research keywords (1)：
D-module, generalized function, Groebner basis
Research theme for competitive and other funds (31)：
- 2014 - 2019 D加群のアルゴリズムとその応用
- 2015 - 2018 Computational complex analysis and algebraic analysis of singularities
- 2012 - 2015 Computational Complex Analysis of logarithmic vector fields, singular varieties and Algebraic Analysis Algorithms
- 2009 - 2010 D加群の極小自由分解
- 2007 - 2009 Study of local moves and invariants for knots and virtual knots
- 2006 - 2009 Harmonic analysis by real variable methods and its applications
- 2006 - 2009 The Study of theoretical aspects and practical aspect on Grobner Bases
- 2004 - 2007 Study on algorithms for D-modules
- 2006 - 2006 計算可換代数と計算代数幾何についての国際研究集会の企画調査
- 2003 - 2006 Computational Analysis of Hypergeometric Differential Equations
- 2005 - 2005 グレブナー基底の理論的有効性と実践的有効性に関する共同研究の企画調査
- 2003 - 2004 Algebraic Analysis of residue currents and an algorithm for computing Noether operators
- 2001 - 2003 Study on Algorithms for D-Modules.
- 2001 - 2002 種々の関数空間における因数分解の研究
- 2000 - 2001 Study for 3-mainfolds and knots, links and graphs contained in them
- 1999 - 2000 Study on Algorithms for D-Modules
- 1998 - 1999 Mathematical Research of Quantum Field Theory.
- 1997 - 1998 Study on Algorithms for D-Modules
- 1996 - 1996 量子群の非可換幾何
- 1995 - 1995 量子群の非可換幾何
- 1995 - 1995 場の量子論の数学的研究
- 1994 - 1994 量子群の非可換幾何
- 1994 - 1994 D加群に関するアルゴリズムの研究
- 1993 - 1993 多元環の研究とその応用
- 1991 - 1991 線形加法的確率場の研究
- 1989 - 1989 超函数の理論を用いた線型偏微分方程式の研究
- 1988 - 1988 超函数の理論を用いた線型偏微分方程式の研究
- 1987 - 1987 超函数の理論を用いた線型偏微分方程式の研究
- 1986 - 1986 超函数の理論を用いた線型偏微分方程式の研究
- 1983 - 1983 超函数の理論を用いた線型偏微分方程式の研究
- Algorithms for D-modules
Show all
Papers (10)：
-
Toshinori Oaku. Algorithms for D-modules, integration, and generalized functions with applications to statistics. Advanced Studies in Pure Mathematics. 2018. 77. 253-352
-
Toshinori Oaku. Localization, local cohomology, and the b-function of a D-module with respect to a polynomial. Advanced Studies in Pure Mathematics. 2018. 77. 353-398
-
Toshinori Oaku. Operational calculus for holonomic distributions in the framework of D-module theory. RIMS Kokyuroku Bessatsu. 2017. B61. 123-140
-
Toshinori Oaku. Annihilators of Laurent coefficients of the complex power for normal crossing singularity. RIMS Kokyuroku Bessatsu. 2016. B57. 79-84
-
Naoki Marumo, Toshinori Oaku, Akimichi Takemura. Properties of powers of functions satisfying second-order linear differential equations with applications to statistics. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS. 2015. 32. 2. 553-572
ｍore...
MISC (34)：
-
T Oaku, N Takayama. Minimal free resolutions of homogenized D-modules. JOURNAL OF SYMBOLIC COMPUTATION. 2001. 32. 6. 575-595
-
T Oaku, N Takayama, H Tsai. Polynomial and rational solutions of holonomic systems. JOURNAL OF PURE AND APPLIED ALGEBRA. 2001. 164. 1-2. 199-220
-
T Oaku, N Takayama. Algorithms for D-modules - restriction, tensor product, localization, and local cohomology groups. JOURNAL OF PURE AND APPLIED ALGEBRA. 2001. 156. 2-3. 267-308
-
T Oaku, N Takayama, U Walther. A localization algorithm for D-modules. JOURNAL OF SYMBOLIC COMPUTATION. 2000. 29. 4-5. 721-728
-
T Oaku, N Takayama. An algorithm for de Rham cohomology groups of the complement of an affine variety via D-module computation. JOURNAL OF PURE AND APPLIED ALGEBRA. 1999. 139. 1-3. 201-233
ｍore...
Books (5)：
-
D加群と計算数学
朝倉書店 2002
-
グレブナ基底と線型偏微分方程式系(計算代数解析入門)
上智大学数学講究録No.38 1994
-
Groebner bases and systems of linear partial differential equations -an introduction to computational algebraic analysis-
1994
-
Higher codimensional boundary value problem and F-mild hyper-functions.
Algebraic Analysis(eds. M. Kashiwara, T. Kawai), Academic press 1988
-
General boundary value problems in the framework of hyperfunctions.
Advaces in Microlocal Analysis (ed. G. Garnir), D. Reidel 1986
Works (2)：
-
複素解析と計算代数解析(学振日韓科学協力事業)
2000 -
-
Complex Analysis and Computational Algebraic Analysis
2000 -
Education (3)：
- 1979 - 1982 東京大学大学院 理学系研究科博士課程 数学専攻
- 1977 - 1979 東京大学大学院 理学系研究科修士課程 数学専攻
- 1973 - 1977 The University of Tokyo Faculty of Science Department of Mathematics
Professional career (1)：
- Doctor of Science (The University of Tokyo)
Work history (3)：
- 1999/04 - 2023/03 Tokyo Woman's Christian University Professor
- 1986 - 1999 Yokohama City University
- 1982 - 1986 The University of Tokyo
Return to Previous Page
