Academic Staff and Fellows
- MATSUI Yutaka
- Professor Ph.D. (Mathematical Sciences)
- Department/Science Graduate school/Science
The field of specialty here is algebraic analysis, which grew out of research into differential equations. Using combinatorics and microlocal analysis, research is conducted into reversion formulas of radon transforms of constructible functions, and the behavior of images.
Topological Radon transforms
| Research Area | Mathematics, Algebraic Analysis, Microlocal Analysis |
|---|---|
| Research Interests | Microlocal multicomplex analysis, Prime number theorem, Microlocal study of constructible sheaves, Topological Radon transforms |
| Selected Publications |
[1] Y. Matsui, Bicomplex hyperfunctions and bicomplex microfunctions, to appear in Publ. Res. Inst. Math. Sci. [2] Y. Maruya and Y. Matsui, Asymptotic behavior of composite numbers with three constrained prime factors of general type, Kyushu J. Math. 78, pp.177-208, 2024. [3] Y. Ike, Y. Matsui and K. Takeuchi, Hyperbolic Localization and Lefschetz fixed point formulas for higher dimensional fixed point sets, IMRN 2018, pp.4852-4898, 2018. |
| Research and Achievements | |
| Affiliated Academic Societies | The Mathematical Society of Japan |
| Education (Undergraduate Course) |
Department of Mathematics, The University of Tokyo |
| Education (Master's/Doctral Course) |
Graduate School of Mathematical Sciences, The University of Tokyo |
| Title of Thesis, Institute, Date | Radon transforms of constructible functions and their applications，The university of Tokyo，2007 |
Microlocal Analysis Laboratory
matsui（at）math.kindai.ac.jp
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