HONDA Naofumi Professor

Analysis

Organization
Department of Mathematics
Research Interest
Algebraic Analysis
Keywords
Asymptotic analysis, Exact WKB analysis, Microlocal analysis

Research Activities

I am mainly studying subjects related to “Algebraic Analysis”, in particular, microlocal aspects of asymptotic analysis and exact WKB analysis. The microlocal analysis, which was initiated by Mikio Sato in 70’s, is a quite powerful tool to study solutions of systems of linear partial differential equations, and I am now trying to extend this method to the area of asymptotic analysis.

Papers:

  • T. Aoki, N. Honda and S. Yamazaki
    Foundation of symbol theory for analytic pseudodifferential operators, I
    Journal of the Mathematical Society of Japan 69 (2017), 1715-1801
  • N. Honda, L. Prelli and S. Yamazaki
    Multi-microlocalization and microsupport
    Bulletin de la Société Mathématique de France 144 (2016), 569-611
  • N. Honda, T.Kawai and Y.Takei
    Virtual turning points, Springer briefs in Mathematical Physics, 4,
    Springer, (2015)
  • T. Aoki, N.Honda, Y. Umeta
    On a construction of general formal solutions for equations of the first Painleve hierarchy I,
    Advances in Mathematics 235 (2013), 496-524
  • N. Honda and L. Prelli
    Multi-specialization and multi-asymptotic expansions,
    Advances in Mathematics 232 (2013), 432-498

contact

n-honda（at）math.sci.hokudai.ac.jp