HONDA, Naofumi
 Research Field
 Analysis
 Position
 Professor
 Organization
 Department of Mathematics
 Research Interest
 Algebraic 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:
[1] 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), 17151801[2] N. Honda, L. Prelli and S. Yamazaki
Multimicrolocalization and microsupport
Bulletin de la Société Mathématique de France 144 (2016), 569611[3] N. Honda, T.Kawai and Y.Takei
Virtual turning points, Springer briefs in Mathematical Physics, 4,
Springer, (2015)[4] 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), 496524[5] N. Honda and L. Prelli
Multispecialization and multiasymptotic expansions,
Advances in Mathematics 232 (2013), 432498  Keywords
 Asymptotic analysis, Exact WKB analysis, Microlocal analysis