Study on harmonic analysis, partial differential equations and complex analysis

在本研究计画中，我们学习调和分析、偏微分方程、多元复分析。我们得到了以下几个方面的结果：黎曼流形上的奇异椭圆方程，层状李群上的伪微分方程，多复变的Bloch函数，Toeplitz算子，黎曼流形上的抛物方程，强伪凸CR流形上的切向Cauchy-Riemann方程，Hankel变换，以及一些与调和分析有关的函数空间.详情请参见参考资料。我们组织了“谐波分析研讨会”（1996年，1997年，1998年）和“谐波分析，偏微分方程和复分析研讨会”（1997年1月，1998年1月）。我们印刷并向日本许多研究人员和机构分发了这些会议的记录。

In this research project, we study harmonic analysis, partial differential equations, and complex analysis of several variables. We obtained results on the following topics : singular elliptic equations on Riemannian manifolds, pseudodifferential equations on stratified Lie groups, Bloch functions of several complex variables, Toeplitz operators, parabolic equations on Riemannian manifolds, tangential Cauchy-Riemann equations on strongly pseudoconvex CR manifolds, Hankel transforms, and some function spaces related to harmonic analysis. See the reference for details. We organized "Harmonic Analysis Seminar" (1996, 1997, 1998), and "Symposium on Harmonic Analysis, Partial Differential Equations, and Complex Analysis" (Jan. 1997, Jan. 1998). We printed and distributed the proceedings of these conferences to many Japanese researchers and institutions.