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), 1715-1801

[2] N. Honda, L. Prelli and S. Yamazaki
Multi-microlocalization and microsupport
Bulletin de la Société Mathématique de France 144 (2016), 569-611

[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), 496-524

[5] N. Honda and L. Prelli
Multi-specialization and multi-asymptotic expansions,
Advances in Mathematics 232 (2013), 432-498

Keywords
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