2013/09 - The Japan Society for Industrial and Applied Mathematics Ronbunsyo (JJIAM Bumon) (Best paper award(JJIAM)), Framelet analysis of some geometrical illusions
2008/04 - Prize for Science and Technology (Research Category), The Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology, Japan New mathematical theory of vision and visual illusions
1997/03 - Spring Prize, Mathematical Society of Japan Study on complex analysis and harmonic analysis
1995 - Featured Review in "Mathematical Reviews" (American Mathematical Society)に選出. 対象論文:"Degenerate elliptic operators, Hardy spaces and diffusions on strongly pseudoconvex domains", Hitoshi Arai, Tohoku Math. J. (1994), pp. 469-498