YAMAZAKI Susumu

Department of Liberal Arts and ScienceProfessor

Research Keyword

  • Algebraic Analysis
  • Microlocal Analysis
  • D-module
  • Sato hyperfunctions

Field Of Study

  • Natural sciences, Basic analysis, Basic Analysis

Educational Background

  • 1996
    The University of Tokyo, Graduate School of Mathematical Sciences, Mathematical Sciences
  • 1991
    The University of Tokyo, Faculty of Science, Mathematics

Member History

  • Apr. 2021 - Present
    函数解析分科会委員, 日本数学会

Paper

  • Foundation of symbol theory for analytic pseudodifferential operators, I
    Takashi Aoki; Naofumi Honda; Susumu Yamazaki
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Oct. 2017, Refereed, Not invited
  • Boundary value problem for Hyperfunction solutions to Fuchsian systems
    Susumu Yamazaki
    数理解析研究所講究録, Apr. 2017, Not refereed, Invited
  • Boundary value problem for hyperfunction solutions to Fuchsian systems
    Susumu Yamazaki
    RIMS Kokyuroku Bessatsu B57, Several Aspects of Microlocal Analysis, May 2016, Refereed, Invited
    Lead
  • Multi-microlocalization
    Naofumi Honda; Luca Prelli; and Susumu Yamazaki
    RIMS Kokyuroku Bessatsu B57, Several Aspects of Microlocal Analysis, May 2016, Refereed, Invited
  • Multi-microlocalization and microsupport
    Naofumi Honda; Luca Prelli; Susumu Yamazaki
    Bulletin de la Societe Mathematique de France, 2016, Refereed, Not invited
  • Microlocal Cauchy problem for distribution solutions to systems with regular singularities
    Susumu Yamazaki
    BULLETIN DES SCIENCES MATHEMATIQUES, Sep. 2015, Refereed, Not invited
  • Kernel functions and symbols of pseudodifferential operators of infinite order with an apparent parameter
    Takashi Aoki; Naofumi Honda; and Susumu Yamazaki
    RIMS Kokyuroku Bessatsu B52, Exponential Analysis of Differential Equations and Related Topics, Nov. 2014, Refereed, Invited
    Corresponding
  • Kernel functions and symbols of pseudodifferential operators of infinte order
    Takashi Aoki; Naofumi Honda; Susumu Yamazaki
    RIMS kokyuroku, Recent Development of Microlocal Analysis and Asymptotic Analysis, Nov. 2013, Not refereed, Not invited
  • Gevrey class or ultradistribution solutions to Cauchy and boundary value problems for systems with irregularities
    Susumu Yamazaki
    RIMS Kokyuroku Bessatsu B37, Exact WKB Analysis and Microlocal Analysis, Jul. 2013, Refereed, Invited
    Lead
  • Boundary values of ultradistribution solutions to regular-specializable systems
    Susumu Yamazaki
    RIMS Kokyuroku Bessatsu B40, Recent Development of Micro-local Analysis for the Theory of Asymptotic Analysis, Jul. 2013, Refereed, Not invited
    Lead
  • 解析的擬微分作用素の核関数と表象について
    Takashi Aoki; Naofumi Honda; Susumu Yamazaki
    京都大学数理解析研究所講究録, May 2013, Not refereed, Not invited
  • 無限階擬微分作用素の表象理論について
    山崎 晋
    京都大学数理解析研究所講究録, Jan. 2011, Not refereed, Not invited
    Lead
  • Remarks on Boundary Values for Temperate Distribution Solutions to Regular-Specializable Systems
    Susumu Yamazaki
    JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO, 2010, Refereed, Not invited
  • Remark on division theorem of ultradistributions by Fuchsian differential operator
    Susumu Yamazaki
    RIMS Kokyuroku Bessatsu B5, Algebraic Analysis and the Exact WKB Analysis for Systems of Differential Equations, Jan. 2008, Refereed, Not invited
    Lead
  • Hyperfunction solutions to Fuchsian hyperbolic systems
    Susumu Yamazaki
    Journal of Mathematical Sciences, the University of Tokyo, Jul. 2005, Refereed, Not invited
    Lead
  • On hyperfunction soluitions to Fuchsian hyperbolic systems
    Susumu Yamazaki
    京都大学数理解析研究所講究録, Jan. 2005, Not refereed, Not invited
    Lead
  • Microlocal boundary value problem for regular-specializable systems
    S Yamazaki
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Oct. 2004, Refereed, Not invited
  • Microlocalization of topological boundary value morphism and regular-specializable systems
    Susumu Yamazaki
    京都大学数理解析研究所講究録, Jun. 2001, Not refereed, Not invited
    Lead
  • Microlocalization of topological boundary value morphism for regular-specializable systems
    山崎 晋
    第 39 回実函数論・函数解析学合同シンポジウム講演集録, Jul. 2000, Not refereed, Not invited
    Lead
  • Construction of kernel functions of pseudodifferential operators of infinite order
    Takashi Aoki; Kiyoomi Kataoka; Susumu Yamazaki
    Proceedings of the conference dedicated to professor Yu. F. Korobeinik on his seventieth birthday, Jun. 2000, Refereed, Not invited
  • Microlocalization of the topological boundary value morphism for regular-specializable systems
    Susumu Yamazaki
    京都大学数理解析研究所講究録, Jun. 2000, Not refereed, Not invited
    Lead
  • Higher-codimensional boundary value problems and F-mild microfunctions
    Toshinori Oaku; Susumu Yamazaki
    京都大学数理解析研究所講究録, Apr. 1999, Not refereed, Not invited
    Lead
  • Higher-codimensional boundary value problems and F-mild microfunctions - Local and microlocal uniqueness
    Toshinori Oaku; Susumu Yamazaki
    Publications of the Research Institute for Mathematical Sciences, 1998, Refereed, Not invited
  • Goursat problem for a microdifferential operator of Fuchsian type and its application
    S Yamazaki
    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Dec. 1997, Refereed, Not invited
  • Goursat problem for a microdifferential operator of Fuchsian type and its application
    Susumu Yamazaki
    京都大学数理解析研究所講究録, Mar. 1997, Not refereed, Not invited
    Lead
  • フックス型超局所微分作用素に対するグルサ問題とその応用
    山崎 晋
    京都大学数理解析研究所講究録, Dec. 1996, Not refereed, Not invited
    Lead
  • Singularities of the Bergman kernel for a two-dimensional pseudoconvex tube domain with corners
    Susumu Yamazaki
    Journal of Mathematical Sciences, the University of Tokyo, Mar. 1996, Refereed, Not invited
    Lead
  • Singularities of the Bergman kernel for a two-dimensional pseudoconvex tube domain with corners
    Susumu Yamazaki
    京都大学数理解析研究所講究録, Feb. 1996, Not refereed, Not invited
    Lead

Books and other publications

  • 超函数・FBI 変換・無限階擬微分作用素
    青木 貴史; 片岡 清臣; 山崎 晋, Joint work, 青木 貴史; 片岡 清臣,山崎 晋
    共立出版, Jun. 2004, Not refereed

Lectures, oral presentations, etc.

  • organizer
    Susumu Yamazaki
    Recent topics in algebraic analysis, Mar. 2024, Not invited
  • organizer
    Susumu Yamazaki
    Recent topics in algebraic analysis, Mar. 2023
  • organizer
    Susumu Yamazaki
    Prospects in microlocal analysis and asymptotic analysis, Oct. 2022, Not invited
  • organizer
    Susumu Yamazaki
    Recent Topics in Algebraic Analysis, Feb. 2022, Not invited
  • Division Theorem of Ultradistributions by Fuchsian Systems and Boundary Value Problem
    Susumu Yamazaki
    Microlocal Analysis and Asymptotic Analysis, Nov. 2019, Invited
  • D 加群の Vanishing Cycle と作用素の理論
    山崎 晋
    代数解析学の諸問題, Mar. 2019, Invited
  • organizer
    Susumu Yamazaki
    Various Problems of Algebraic Analysis — Microlocal Analysis and Asymptotic Analysis —, Oct. 2018, Not invited
  • Microlocal boundaty value problem for Fuchsian D-Modules
    Susumu Yamazaki
    Various Problems of Algebraic Analysis — Microlocal Analysis and Asymptotic Analysis —, Oct. 2018, Invited
  • Boundary Value Problem for Hyperfunction Solutions to Fuchsian Systems
    Susumu Yamazaki
    Formal and Analytic Solutions of Partial Differential Equations - Padova, Jun. 2018, Invited
  • Microsupport of Formal Microlocalization Solutions to Systems with Regular Singularities and Its Applications
    Susumu Yamazaki
    Workshop on Algebraic Analysis and Asymptotic Analysis in Hokkaido, May 2018, Invited
  • Boundary Value Problem for Hyperfunction Solutions to Fuchsian Systems
    Susumu Yamazaki
    Algebraic Analysis in Yamaguchi, Nov. 2017, Not invited
  • Nearby and Vanishing Cycles of Fuchsian D-Modules
    Susumu Yamazaki
    Microlocal analysis and asymptotic analysis, Oct. 2017, Invited
  • Fuchs 型 D 加群の近接及び消滅輪体
    山崎 晋
    代数解析奈良研究集会, Nov. 2016, Invited
  • 解析的範疇の無限階擬微分作用素とその表象
    山崎 晋
    日本数学会2016年秋季総合分科会函数解析学分科会特別講演, Sep. 2016, 日本数学会, Invited
  • Boundary value problem for hyperfunction solutions to Fuchsian systems
    Susumu Yamazaki
    Algebraic Analytic Methods in Complex Partial Differential Equations, Dec. 2015, Invited
  • Boundary value problem for hyperfunction solutions to Fuchsian systems
    山崎 晋
    Theoretical and Computational Aspects of Algebraic Analysis, Mar. 2015, Invited
  • Boundary value problem for hyperfunction solutions to Fuchsian systems
    Susumu Yamazaki
    Several Aspects of Microlocal Analysis, Oct. 2014, Invited
  • 超函数論に於ける境界値問題 (Fuchs 型作用素)
    山崎 晋
    代数解析学と局所凸空間, Feb. 2014, Invited
  • Kernel functions and symbols of pseudodifferential operators of infinite order with an apparent parameter
    Susumu Yamazaki
    Exponential Analysis of Differential Equations and Related Topics, Oct. 2013, Invited
  • Kernel Functions and Symbols of Pseudodifferential Operators of Infinite Order with an Apparent Parameter
    Susumu Yamazaki
    Recent Development of Microlocal Analysis and Asymptotic Analysis, Oct. 2012, Invited
  • organizer
    Microlocal Analysis, Differential Equations and Related Topics, Aug. 2012, Naoto Kumano-go, kiyomi Kataoka, Susumu Yamazaki, Not invited
  • Remarks on Cauchy and Boundary Value Problems for Distribution Solutions to Systems with Regular Singularities
    Microlocal Analysis, Differential Equations and Related Topics, Aug. 2012, Not invited
  • Microsupport of Whitney Function Solutions to Systems with Regular Singularities and Its Applications
    Susumu Yamazaki
    Microlocal Analysis and Its Development, Mar. 2012, Susumu Yamazaki, Takashi Aoki, Naoto Kumano-go, Yasuo Chiba, Not invited
  • organizer
    Microlocal Analysis and Its Development, Mar. 2012, Susumu Yamazaki, Takashi Aoki, Naoto Kumano-go, Yasuo Chiba, Not invited
  • Boundary Values of Ultradistribution Solutions to Regular-Specializable Systems
    Susumu Yamazaki
    Recent Development of Micro-Local Analysis for the Theory of Asymptotic Analysis, Nov. 2011, Naofumi Honda, Yasunori Okada, Motoo Uchida, Not invited
  • 研究副代表者
    Introductory Workshop on Feynman Path Integral and Microlocal Analysis', 京都大学数理解析研究所., Jun. 2011, Not invited
  • 無限階擬微分作用素の表象理論について
    山崎 晋
    京都大学数理解析研究所共同研究「経路積分と超局所解析の入門」, May 2010, Not invited
  • 研究副代表者
    山崎 晋
    京都大学数理解析研究所共同研究「経路積分と超局所解析の入門」, May 2010, Not invited
  • Cauchy and Boundary Value Problems for Gevrey Function or Ultradistribution Solutions to Irregular Systems
    Susumu Yamazaki
    Workshop `Microlocal Analysis and Related Topics', Mar. 2010, Sususmu Yamazaki, Naoto Kumano-Go, Not invited
  • organizer
    Workshop `Microlocal Analysis and Related Topics', Mar. 2010, Sususmu Yamazaki, Naoto Kumano-Go, Not invited
  • Remark on boundary values for distribution solutions to regular-specializable syetems
    Susumu Yamazaki
    Microlocal Analysis and Related Topics, Oct. 2009, Not invited
  • Cauchy problem for ultradifferentiable or ultradistribution solutions to systems with irregularities
    Susumu Yamazaki
    Exact WKB Analysis and Microlocal Analysis, May 2008, Tatsuya Koike, Not invited
  • Remark on Division Theorem of Ultradistributions
    Susumu Yamazaki
    Seminar on Microlocal Analysis at Keio University, Jul. 2007, Invited
  • Remark on division theorem of ultradistributions by Fuchsian differential operators
    Susumu Yamazaki
    研究集会 ``微分方程式系の代数解析と完全 WKB 解析'', 京都大学数理解析研究所., Dec. 2006, Not invited
  • 研究副代表者
    研究集会 ``微分方程式系の代数解析と完全 WKB 解析'', 京都大学数理解析研究所., Dec. 2006, Not invited
  • Fuchs 型偏微分方程式の超分布解に対する割算定理について
    山崎 晋
    東京大学代数解析火曜セミナー, May 2006, Not invited
  • 研究副代表者
    超函数と線型微分方程式 2006, Mar. 2006, Not invited
  • Microsupport of Whitney solutions to systems with regular singularities
    平成 16 年度第 49 回理工学部学術講演会, Nov. 2005, Not invited
  • Hyperfunction solutions to Fuchsian hyperbolic systems
    山崎 晋
    平成 16 年度第 48 回理工学部学術講演会, Nov. 2004, Not invited
  • Hyperfunction solutions to Fuchsian hyperbolic systems
    Susumu Yamazaki
    The 21st Century Center Of Excellence Program, Seminar on Microlocal Analysis at Keio University, Mar. 2004, Not invited
  • 研究副代表者
    研究集会 ``Microlocal Analysis and Asymptotic Analysis'', 京都大学数理解析研究所., Mar. 2004, Not invited
  • 無限階擬微分作用素の可逆性定理に関する初等的注意
    東京大学解析学火曜セミナー, 東京大学., Nov. 2003, Not invited
  • On hyperfunction solutions to Fuchsian hyperbolic systems
    Susumu Yamazaki
    研究集会 ``超局所解析の展望'', 京都大学数理解析研究所., Aug. 2003, Not invited
  • 座長
    研究集会 ``超局所解析の展望'', 京都大学数理解析研究所., Aug. 2003, Not invited
  • Fuchs 双曲系に対する Cauchy 問題の超函数解
    東京大学解析学火曜セミナー, 東京大学., Jul. 2003, Not invited
  • 研究副代表者
    短期共同研究集会 ``双曲形方程式と非正則度'', 京都大学数理解析研究所., Dec. 2002, Not invited
  • Whitney 函数に対する双曲型境界値問題に関する注意
    東京大学解析学火曜セミナー, 東京大学., Jun. 2002, Not invited
  • Distribution 解に対する双曲型境界値問題
    東京大学解析学火曜セミナー, 東京大学., Jun. 2001, Not invited
  • Microlocalization of topological boundary value morphism and regular-specializable systems
    筑波大学微分方程式セミナー, 筑波大学., Oct. 2000, Not invited
  • Microlocalization of topological boundary value morphism and regular-specializable systems
    研究集会 ``微分方程式の漸近解析と超局所解析'', 京都大学数理解析研究所., Oct. 2000, Not invited
  • Microlocalization of topological boundary value morphism for regular-specializable systems
    第 39 回実函数論・函数解析学合同シンポジウム, 信州大学工学部., Jul. 2000, Not invited
  • Microlocalization of topological boundary value morphism for regular-specializable systems
    山崎 晋
    大阪大学微分方程式セミナー, 大阪大学, Feb. 2000, Not invited
  • 局所凸空間とホモロジー代数
    研究集会 ``代数解析学の諸問題'', 千葉大学, Jan. 2000, Not invited
  • Microlocalization of topological boundary value morphism for regular-specializable systems
    研究集会 ``超局所解析とその周辺'', 京都大学数理解析研究所., Dec. 1999, Not invited
  • Microlocalization of topological boundary value morphism for regular-specializable systems
    東京大学解析学火曜セミナー, 東京大学., Jul. 1999, Not invited
  • 超函数論に於ける境界値問題入門 (連続 5 回講演)
    研究集会 ``代数解析学の諸問題'', 千葉大学., Jan. 1999, Not invited
  • Fuchs 型偏微分方程式に対する高余次元境界値問題
    多変数関数論サマーセミナー, 宮崎県えびの高原., Jul. 1998, Not invited
  • Higher-codimensional boundary value problems and F-mild microfunctions
    Susumu Yamazaki/Toshinori Oaku
    研究集会 ``複素解析と超局所解析'', 京都大学数理解析研究所., Dec. 1997, Not invited
  • Fuchs 型偏微分方程式系に対する高余次元境界値問題
    Susumu Yamazaki/Toshinori Oaku
    研究集会 ``解析的偏微分方程式の研究'', 千葉大学., Nov. 1997, Not invited
  • Microdifferential operators of Fuchsian type and Goursat problem
    山崎 晋
    研究集会 ``解析的微分方程式の解の構成と応用'', 神戸大学, Dec. 1996, Not invited
  • Goursat problem for a microdifferential operator of Fuchsian type and its application
    Susumu Yamazaki
    研究集会 ``超局所解析における代数解析的手法'', 京都大学数理解析研究所, Jul. 1996, Nobuyuki Tose, Not invited
  • フックス型超局所微分作用素に対するグルサ問題とその応用
    Susumu Yamazaki
    研究集会 ``函数解析を用いた偏微分方程式の研究'', 京都大学数理解析研究所., Mar. 1996, Hikosaburo Komatsu, Not invited
  • 超函数論に於ける Goursat 問題について
    山崎 晋
    東京大学解析学火曜セミナー, 東京大学., Nov. 1995, Not invited
  • Singularities of the Bergman kernel for a two-dimensional pseudoconvex tube domain with corners
    Susumu Yamazaki
    短期共同研究集会 ``D 加群の vanishing cycle とその応用'', 京都大学数理解析研究所., Sep. 1994, Nobuyuki Tose, Not invited
  • 境界が角を持つ 2 次元管状強擬凸領域上の Bergman 核の特異性について
    山崎 晋
    大阪大学偏微分方程式セミナー, 大阪大学., Oct. 1993, Not invited
  • 境界が角を持つ 2 次元管状強擬凸領域上の Bergman 核の特異性について
    山崎 晋
    日本数学会秋期総合分科会, 大阪府立大学., Sep. 1993, Not invited

Affiliated academic society

  • 日本数学会

Research Themes

  • D 加群の近接輪体の一般化と境界値問題への応用
    Apr. 2015 - Mar. 2020
  • Computational complex analysis and algebraic analysis of singularities
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2015 - 31 Mar. 2018
    Tajima Shinichi; Oaku Toshinori; Shibuta Takafumi; Umeta Yoko
  • Algebraic analysis of parametric Stokes phenomena
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2014 - 31 Mar. 2018
    AOKI TAKASHI; HONDA Naofumi; KAWAI Takahiro; TAKEI Yoshitsugu; YAMAZAKI Susumu; KOIKE Tatsuya; UMETA Yoko
  • フックス型偏微分方程式系の代数解析的・超局所的視点からの研究
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Apr. 2008 - Mar. 2013
    YAMAZAKI Susumu; AOKI Takashi; HONDA Naofumi
  • 代数解析学に於ける線型偏微分方程式系の初期値及び境界値問題の研究
    日本学術振興会, 科学研究費助成事業, Apr. 2005 - Mar. 2008
    山崎 晋
  • Exact WKB analysis of microdifferential equations of infinite order
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2003 - 2005
    AOKI Takashi; IZUMI Shuzo; OHNO Yasuo; NAKAMURA Yayoi; YAMAZAKI Susumu
  • 超局所解析学に於けるグルサ問題及び高余次元境界値問題の研究
    Apr. 1998 - Mar. 2001
  • 超局所解析学に於けるグルサ問題及び高余次元境界値問題の研究
    日本学術振興会, 科学研究費助成事業, 1998 - 2000
    山崎 晋

Others

  • D加群と解
    May 2020 - Present