Researcher Database

HONDA Naofumi
Faculty of Science Mathematics Mathematics
Professor

Researcher Profile and Settings

Affiliation

  • Faculty of Science Mathematics Mathematics

Job Title

    Professor

Research Interests

  • algebraic analysis   

Research Areas

  • Mathematics / Basic analysis

Academic & Professional Experience

  • 2016/01 - Today    Faculty of Science, Hokkaido UniversityDepartment of MathematicsProfessor

Research Activities

Published Papers

  • Hyperfunctions and Cech-Dolbeault cohomology in microlocal point of view
    N. Honda
    RIMS Koukyuroku 2101 (1) 7 - 12 2019/03 [Not refereed][Not invited]
     Research paper (scientific journal)
  • On the Algebraic Study of Asymptotics
    N. Honda and L.Prelli
    Springer Proceedings in Mathematics & Statistics 256 (1) 227 - 238 2018/10 [Refereed][Not invited]
     Research paper (scientific journal)
  • Uniqueness in the inverse boundary value problem for piecewise homogeneous anisotropic elasticity
    CĂTĂLIN I. CÂRSTEA, N. HONDA and Gen NAKAMURA
    SIAM J. Math. Anal. 50 (3) 3291 - 3302 2018/07 [Refereed][Not invited]
     Research paper (scientific journal)
  • Laplace hyperfunctions in several variables
    N. Honda and K. Umeta
    Journal of the Mathematical Society of Japan 70 (1) 111 - 139 2018/01 [Refereed][Not invited]
     Research paper (scientific journal)
  • Foundation of symbol theory for analytic pseudodifferential operators, I
    T. Aoki, N. Honda and S. Yamazaki
    Journal of the Mathematical Society of Japan 69 (4) 1715 - 1801 2017/11 [Refereed][Not invited]
     Research paper (scientific journal)
  • On the theory of Laplace hyperfunctions in several variables
    HONDA Naofumi and Kohei Umeta
    RIMS Koukyuroku 2020 29 - 34 2017/04 [Not refereed][Not invited]
     Research paper (international conference proceedings)
  • Generalization of multi-specializations and multi-asymptotics
    HONDA Naofumi and Luca Prelli
    RIMS Koukyuroku 2020 18 - 28 2017/04 [Not refereed][Not invited]
     Research paper (international conference proceedings)
  • Apparent parameter technique and vanishing of cohomology groups with Whitney holomorphic functions
    HONDA Naofumi
    RIMS Koukyuroku 2020 10 - 17 2017/04 [Not refereed][Not invited]
     Research paper (international conference proceedings)
  • An invitation to Sato's postulates in micro-analytic S-matrix theory
    HONDA Naofumi and KAWAI Takahiro
    RIMS Koukyuroku Bessatsu B61 23 - 56 2017/01 [Refereed][Not invited]
     Research paper (scientific journal)
  • Multi-microlocalization and microsupport
    Naofumi Honda, Luca Prelli and Susumu Yamazaki
    Bulletin de la Société Mathématique de France 144 (3) 569 - 611 2016/10 [Refereed][Not invited]
     Research paper (scientific journal)
  • Multi-microlocalization
    Naofumi Honda, Luca Prelli and Susumu Yamazaki
    Kokyuroku Bessatsu B57 93 - 116 2016/09 [Refereed][Not invited]
     Research paper (scientific journal)
  • A study of pinch points and cusps in the Landau-Nakanishi geometry
    Naofumi Honda and Takahiro Kawai
    Kokyuroku Bessatsu B57 195 - 234 2016/09 [Refereed][Not invited]
     Research paper (scientific journal)
  • On the geometric aspect of Sato's postulates on the S-matrix
    N. Honda, T. Kawai and H. P. Stapp
    RIMS Koukyuroku bessatsu B52 11 - 53 2015/06 [Refereed][Not invited]
     Research paper (scientific journal)
  • On the sheaf of Laplace hyperfunctions in several variables
    N. Honda and K. Umeta
    RIMS Koukyuroku Bessatsu B52 213 - 218 2015/06 [Refereed][Not invited]
     Research paper (scientific journal)
  • Kernel functions and symbols of pseudodifferential operators of infinite order with an apparent parameter
    T. Aoki, N.Honda and S.Yamazaki
    RIMS Koukyuroku Bessatsu B52 175 - 192 2015/06 [Refereed][Not invited]
     Research paper (scientific journal)
  • A computer-assisted study of the Landau-Nakanishi Geometry
    Naofumi Honda, Takahiro Kawai
    RIMS Koukyuroku 1861 100 - 110 2014 [Not refereed][Not invited]
     Research paper (bulletin of university, research institution)
  • Naofumi Honda, Joyce McLaughlin and Gen Nakamura
    Inverse Problems 30 (055001) 1 - 19 2014 [Refereed][Not invited]
     Research paper (scientific journal)
  • On the number of the turning points of the second kind of the Noumi-Yamada systems with a large parameter
    T. Aoki, N. Honda and Y. Umeta
    RIMS Koukyuroku Bessatsu B37 1 - 30 2013/08 [Refereed][Invited]
     Research paper (scientific journal)
  • On kernel functions and symbols of analytic pseudo-differential operators
    T.Aoki, N.Honda and S.Yamazaki
    RIMS Koukyuroku 1835 21 - 37 2013/08 [Not refereed][Not invited]
     Research paper (scientific journal)
  • Takashi Aoki, Naofumi Honda, Yoko Umeta
    Advances in Mathematics 235 496 - 524 2013/03 [Refereed][Not invited]
     Research paper (scientific journal)
  • N. Honda, G. Nakamura, M. Sini
    Mathematische Annalen 355 401 - 427 2013/01 [Refereed][Not invited]
     Research paper (scientific journal)
  • Naofumi Honda, Luca Prelli
    Advances in Mathematics 232 432 - 498 2013/01 [Refereed][Not invited]
     Research paper (scientific journal)
  • On the form of instanton-type solutions for equations of the first Painleve' hierarchy by multiple-scale analysis
    T. Aoki, N. Honda and Y. Umeta
    Rend. Sem. Mat. Univ. Politec. Torino 69 (4) 331 - 338 2012 [Refereed][Not invited]
     Research paper (scientific journal)
  • Cohomology vanishing theorem and Laplace hyperfunctions with holomoprhic parameters
    H. Naofumi and K. Umeta
    Rend. Sem. Mat. Univ. Politec. Torino 69 (4) 347 - 353 2012 [Refereed][Not invited]
     Research paper (scientific journal)
  • On the sheaf of Laplace hyperfunctions with holomorphic parameters
    Naofumi Honda, Kohei Umeta
    J. Math. Sci. Univ. Tokyo 19 559 - 586 2012 [Refereed][Not invited]
     Research paper (scientific journal)
  • T. Aoki, N. Honda
    J. Math. Soc. Japan 63 (4) 1085 - 1119 2011/11 [Refereed][Not invited]
     Research paper (scientific journal)
  • Stratified Whitney jets and termpered ultradistributions on the subanalytic site
    N. Honda, G. Morando
    Bulletin de la Soci\'et\'e Math\'ematique de France 139 (3) 389 - 435 2011/10 [Refereed][Not invited]
     Research paper (scientific journal)
  • N. Honda, L. Prelli
    Proc. Japan. Acad. 87 (A) 69 - 72 2011/07 [Refereed][Not invited]
     Research paper (scientific journal)
  • The geometric structure of a virtual turing point and the motel of the Stokes geometry
    Naofumi Honda
    RIMS Kokyuroku Bessatsu B10 63 - 117 2009/12 [Refereed][Not invited]
     Research paper (scientific journal)
  • Principally tame regular sequences associated with the fourth Painlev\'e hierarchy with a large parameter
    T. Aoki, N. Honda
    Proc. Japan. Acad. 84 (A) 42 - 47 2008/10 [Refereed][Not invited]
     Research paper (scientific journal)
  • N. Honda, G. Nakamura, R. Potthast, M. Sini
    Ann. Math. Pura Appl. 187 188 - 215 2008 [Refereed][Not invited]
     Research paper (scientific journal)
  • Virtual turning points
    T.Aoki, N. Honda, T. Kawai, T. Koike, N. Nishikawa, S. Sasaki, A. Shudo, Y. Takei
    Algebraic Analysis of Differential Equations, Springer 29 - 44 2007 [Refereed][Not invited]
     Research paper (scientific journal)
  • On the Stokes geometry of the Noumi-Yamada system
    Naofumi Honda
    RIMS Kokyuroku Bessatsu B2 45 - 72 2007 [Refereed][Not invited]
     Research paper (scientific journal)
  • Degenerate Stokes geometry and some geometric structure underlying a virtual turning point
    Naofumi Honda
    RIMS Kokyuroku Bessatsu B5 15 - 49 2007 [Refereed][Not invited]
     Research paper (scientific journal)
  • T. Aoki, N. Honda
    Algebraic Analysis of Differential Equations, Springer 45 - 55 2007 [Refereed][Not invited]
     Research paper (scientific journal)
  • On the algebraic equations associated with Noumi-Yamada Systems
    T. Aoki and N.Honda
    RIMS Koukyuroku 1516 1 - 11 2006 [Not refereed][Not invited]
     Research paper (bulletin of university, research institution)
  • On the examples of Stokes geometry for Noumi-Yamada systems
    Naofumi Honda
    1516 24 - 167 2006 [Not refereed][Not invited]
     Research paper (bulletin of university, research institution)
  • Microlocal Stokes phenomena for holonomic modules
    Naofumi Honda
    Toward the Exact WKB Analysis of Differential Equations 33 - 39 2000 [Refereed][Not invited]
     Research paper (scientific journal)
  • Regularity theorems for holonomic modules
    Naofumi Honda
    Proc.Banach Center publ. 33 85 - 91 1996 [Refereed][Not invited]
     Research paper (scientific journal)
  • Microfunction Solutions of Holonomic Systems and Stokes Lines
    Naofumi Honda
    Structure of Solutions of Differential Equations, World Scientific 169 - 182 1996 [Refereed][Not invited]
     Research paper (scientific journal)
  • Regularity theorems for holonomic modules
    Naofumi Honda
    Proc. Japan Acad 69 (A) 111 - 114 1993 [Refereed][Not invited]
     Research paper (scientific journal)
  • Solvability of ordinary differential equations in the space of distributions
    HONDA Naofumi
    J. Fac. Sci. Univ. Tokyo 39 207 - 232 1992 [Refereed][Not invited]
     Research paper (scientific journal)
  • On the D modules described by the inverse image of the smooth map
    Naofumi Honda
    J. Fac. Sci. Univ. Tokyo 38 351 - 358 1991 [Refereed][Not invited]
     Research paper (scientific journal)
  • Naofumi Honda
    Publ. RIMS, Kyoto Univ 27 923 - 943 1991 [Refereed][Not invited]
     Research paper (scientific journal)
  • A vanishing theorem for holonomic modules with positive characteristic varieties
    N. Honda, P. Schapira
    Publ. RIMS. Kyoto Univ. 26 529 - 534 1990 [Refereed][Not invited]
     Research paper (scientific journal)

Books etc

  • Virtual turning points, Springer briefs in Mathematical Physics, 4
    N. Honda, T.Kawai and Y.Takei ()
    Springer 2015/07 Joint Work
  • General topology
    Shuichi Jimbo and Naofumi Honda ()
    Suugaku Shyobou 2010/04 Joint Work

Conference Activities & Talks

  • Čech-Dolbeault cohomology and hyperfunctions  [Invited]
    HONDA Naofumi
    微分方程式の総合的研究 全体講演  2018/12

Research Grants & Projects

  • On the structure of the holonomic systems

Educational Activities

Teaching Experience

  • 数理科学概説
    開講年度 : 2017
    課程区分 : 修士課程
    開講学部 : 理学院
  • Inter-Graduate School Classes(General Subject):Natural and Applied Sciences
    開講年度 : 2017
    課程区分 : 修士課程
    開講学部 : 大学院共通科目
    キーワード : チェック・ドラーム・コホモロジー,チェック・ドルボー・コホモロジー,超函数,留数,自己写像の複素力学系,固定点
  • Overview of Mathematical Sciences
    開講年度 : 2017
    課程区分 : 修士課程
    開講学部 : 理学院
    キーワード : 古典力学、カオス、シンプレクティック多様体、特異摂動、完全WKB解析、ストークス幾何
  • Inter-Graduate School Classes(General Subject):Natural and Applied Sciences
    開講年度 : 2017
    課程区分 : 修士課程
    開講学部 : 大学院共通科目
    キーワード : 古典力学、カオス、シンプレクティック多様体、特異摂動、完全WKB解析、ストークス幾何
  • Analysis B
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 理学部
    キーワード : 常微分方程式、解の存在、解の一意性
  • Basic Mathematics D
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 理学部
    キーワード : 多変数関数,偏微分,テイラーの定理,逆写像定理,陰関数定理,重積分,広義積分.
  • Linear Algebra I
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 全学教育
    キーワード : 行列, 連立1次方程式, 基本変形, 階数, 行列式, 逆行列


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