MICROLOCAL ANALYSIS

**I will retire at the end of March 2017!**

**共立叢書「超函数・FBI変換・無限階擬微分作用素」(青木貴史-片岡清臣-山崎晋著)の訂正項目PDF(2013. 5.22; (9))
代数解析資料, 2013公開講座資料 (its video),
最終講義資料 (The last lecture video page).
Kiyoomi KATAOKA (清臣, 片岡)
Professor of Graduate School of Mathematical Sciences
The University of Tokyo
**

*Go to my page in Graduate School of Mathematical Sciences, the University of Tokyo*

**Members of My Laboratory**

**Doctor Course Students**.

None**Master Course Students**

Yu Mada(優，馬田).

**Graduates in academic positions**

Hideshi YAMANE (英司, 山根) : Professor at Kwansei Gakuin University. Microlocal analysis, differential equations in complex domains. PhD in 1995 title: Branching of singularities for some second or third order microhyperbolic operators multiply characteristic at $x_1=0$.

Naoto KUMANO-GO (直人, 熊ノ郷) : Professor at Kougakuin University. Multiple-products of pseudodifferential operators, path-integrals. PhD in 1997 title: On multi-products of Fourier Integral Operators.

Susumu YAMAZAKI (晋, 山崎) : Professor at Nihon University. Microlocal analysis, Goursat Problems for Fuchsian operators. PhD in 1996, title: Goursat Problem for microdifferential operator of Fuchsian type in several variables and its application.

Xiao-Fang ZHOU (小方, 周) : PD and Associate Professor at Wuhan University, China. Paradifferential operators, Semilinear heat equations, Navier-Stokes equations. PhD in 1999 title: Morrey 空間における半線形熱方程式の定常解の安定性について. his home page here.

Yasuo CHIBA (康生, 千葉): Lecturer at Tokyo University of Technology . Microlocal analysis and asymptotic analysis. PhD in 2004 title: WKB solutions for microdifferential equations with fractional power singularities.

Yutaka MATSUI (優，松井):Associate Professor at Kinki university. Microlocal analysis. Radon transformations. (15MB quicktime movie). PhD in 2007 title: Radon transforms of constructible functions and their applications.

**Previous students in our laboratory**

Fumitsuna MARUYAMA (文綱, 丸山): Determinant-theory of diffenrential operators, asymptotic analysis.

Hiroshi KOSHIMIZU (寛, 小清水)：Second microlocal analysis. PhD in 1999 title: 偏微分方程式の可解性と解の延長に対する超局所的研究.

Masashi KOBAYASHI (正史, 小林) : Several complex variables, Kobayashi metric. (PhD in another laboratory).

Ryuta IMAI (隆太, 今井) : Several complex variables, Hardy spaces. (PhD in another laboratory).

Shota FUNAKOSHI (正太, 船越) : Microlocal analysis, second microlocal analysis. PhD in 2000 title: Solvability of a class of differential equations in the sheaf of microfunctions with holomorphic parameters (here is an explanation of Funakoshi's results by K. Kataoka).

Yuichi SUGIKI (雄一, 杉木): Microlocal analysis. PhD in 2002 title: 余層を使った積分変換理論と $\mathcal E$-加群上のコーシー問題.

Chang Hoon LEE (昌勳, 李): Microlocal analysis. PhD in 2003 title: Exponential Calculus of Pseudodifferential Operators of Minimum Type. See 1.5MB MPEG movie.

Yoshiyasu YASUTOMI (義泰, 安富): PHD of COE program of Graduate School of Math. Sci. the Univ. Tokyo. PhD in 2003 title: Theory of Generalized Elastic Wave Equations. See 1.5MB MPEG movie.

Takamitsu TOMIKAWA (尚充, 富川) : Nonlinear generalized functions of Colombeau's type. PhD in 2005 title: Solvability and unsolvability of nonlinear differential equations in a space of generalized functions of Colombeau's type

Shingo KAMIMOTO (晋吾, 神本): PhD in 2012 title: On the exact WKB analysis of Schr\"odinger equations.

**Links to Other Sites**